Thursday, July 18, 2013

Physics Class Review


Physics is the study of the relationship between energy and matter. It's basically a study on why everything in the world acts the way it does. Through physics, you learn all about how light works, why objects move/rest the way they do, and so much more.
I thought this class was super fun! I was dreading the six hour classes that we had,  and I was terrified of the idea of having to spend six weeks with a boring teacher. While the classes were a bit unbearable at times, Mr. Blake definitely made class more interesting, with his joking around while still managing to get the points across. We always had interesting lab demos, which provided a hands-on learning process as well as much appreciated breaks from sitting still for so long. Everyone in the class seemed to get along well, and because of that, the class atmosphere was always laid back and comfortable.

We learned so much in this class! I'm not very confident that I'll remember everything we learned in a few months from now, but we covered so much in the past six weeks.  
Unit 1 was all about introducing ourselves to physics. We didn't really learn anything actually physics related, but we did learn a bunch of stuff anyway. We learned about the different graph shapes and the relationships the x and y axes had with each other, as well as the difference between accuracy and precision. Accuracy is based on how close you are to a certain value, while precision is based on the consistency you have of hitting the same value.  Besides that, we reviewed scientific notation and how to do conversions.  
Unit 2 is where we actually began learning actual physics concepts, and this unit was all about kinematics, or the study of motion. We learned how to make motion maps, and the differences between scalar and vector quantities. Scalar quantities, are measurements that have magnitude (muchness), while vector quantities have both magnitude and direction. We also learned a lot of vocabulary words and their definitions, such as position, distance, displacement, velocity, speed, and acceleration. We also began using graphs more, learning how to draw position vs. time graphs, and velocity vs. time graphs, as well as the three graphing rules: 1) the slope of a position vs. time graph is velocity, 2) the slope of a velocity vs. time graph is acceleration, and 3) the area under the "curve" of a velocity vs. time graph is the distance traveled.
Unit 3 focused on acceleration. We learned how to draw acceleration vs. time graphs, just by looking at a velocity vs. time graph. We also learned the three equations that became very useful for not only this unit, but many after. They were d=1/2at^2+Vot (d,a,t), V=Vo+at (v,a,t), and V^2=Vo^2+2ad (v,a,d). With these equations, we learned how to solve word problems, and the process on how to solve word problems effectively.
Unit 4 was all about projectiles, which was confusing, since we started having to pay attention to two different axes that were independent of each other. Because the axes were independent of each other, we had to use multiple equations for the problems, which sometimes became confusing, but was manageable after a while.
Unit 5 was about forces in equilibrium, which involved vectors and using trigonometry. We had to draw many diagrams of vectors in this lesson, and learned a method for finding whatever it was we were looking for, by using Mr. Blake's patented bureku technique, which involved breaking up the diagonals of vectors. We also learned about force, which is a push or a pull and is a vector quantity. We learned Newton's three laws of physics, as well as how to draw free body diagrams, which provided us with a better understanding of the problems we were doing.
Unit 6 was kind of the same thing as unit 5, since it was pretty much entirely based on Newton's second law of physics, which stated that acceleration was equal to the net force of an object divided by its mass (a = fnet ÷ mass). We learned about pulleys, which change the direction of force, and drew a lot of free body diagrams in this unit as well, which was helpful.
Unit 7 focused on momentum and collisions. We learned that momentum was mass times velocity (p = mv), as well as the law of conservation of momentum, which, as the title hints at, stated that momentum, in a close system, is always conserved. We also learned what impulses are (changes in momentum), how to find them (impulse = force x change in time), as well as a new graphing rule, which was that under the curve of a force vs. time graph, the area is equal to impulse.
Unit 8 was all about energy and work. We learned the Law of Conservation of energy, which states that energy cannot be created or destroyed, it only changes form. We also learned about the different types of energy: there is kinetic, which is the energy of motion, potential (gravitational) energy, and spring potential energy. We also learned about work, which is the change in energy, and Hooke's law, which helps you find the force of a spring.
Unit 9 was based on waves and sound, which was both confusing and interesting. We learned about vibrations, which are wiggles in time, waves, which are made up of vibrations in space, and media, which is the stuff that carries the waves. We also learned about different parts of waves, like the wavelengths, amplitudes, periods (amount of time it takes for one complete cycle to occur), crests, troughs, nodes, and anti-nodes.
Unit 10 was one of the hardest units, and it was all about light behavior. We learned about what light was, the speed of light (3x10^8 m/s), and what a light year was. We also learned the differences between opaque and transparent, as well as what the electromagnetic spectrum was. We learned about different types of reflections, such as specular reflections and diffuse reflections. Besides that, we learned about white light, which is light that carries all the frequencies of ROYGBIV, and what the color wheel of light was. Not only that, but we learned about why the ocean and sky are blue, and how rainbows are made. The Law of Reflection was also a big topic, as well as what refraction is and how to find the angles of incidence, angles of refraction, and what the index of refraction was. Lastly, we learned about parallel rays and focal rays, and how to find the image of an object in a reflection.

I think what I liked the most about this class (I talked about this earlier), was the overall atmosphere of the class. Despite the grueling hours everyone spent in class, we all seemed to have fun in class. The labs were fun and entertaining, and Mr. Blake always had an energetic personality, and his energy was infectious. I think the only thing about the class that I would improve, is by giving us maybe a few more breaks in class, since two breaks isn't enough. Either that, or take 10 second breaks to just stretch and jump around a bit. Other than that, I had a really fun time in class this summer, and I would actually be willing to take a class like this again... I also had really awesome table partners, so they just made this class even more fun.






Wednesday, July 17, 2013

Physics Unit 10 (Part 3)

Today we learned more about refraction, which was incredibly confusing, in my opinion. Refraction is the changing of wave speeds due to changes in wave media, and is dependent on how optically dense the medium is. The main thing we focused on was Snell's Law, which stated that the index of refraction of a ray of light before it changes media, multiplied by the sine of said light's angle of incidence would be equal to the index of refraction of the light when it changes media, multiplied by its angle of reflection (did that even make sense?). The equation for Snell's Law is n1sinθ1 = n2sinθ2 (θ = theta). In order to find the index of refraction, you divide the speed of light by the speed of light in the medium ( n = c÷v). Also, if you have the index of refraction of a medium, you could use the equation to find the speed of light in the medium (v = c÷n). For example, you were trying to find the speed of light in glass, you would take the speed of light and divide it by glass' index of refraction, which is 1.5. So you would do 3 x 10^8 ÷ 1.5, to get 2 x 10^8 m/s. We also learned about critical angles, and how to find them with this equation: sinθc = n2 ÷ n1. With your knowledge of what the critical angle is, you can find what the total internal reflection is, which is when the light's reflecting inside the medium.




When the ray of light changes from a fast medium to a slow medium, the light will bend towards the normal (perpendicular to the surface). However, when the ray of light moves from a slow medium to a fast medium, the light will bend away from the normal.


We also learned the differences between diverging lenses and converging lenses. A diverging lens is when multiple lights are being shined into a lens, and they are all refracted away from each other. A converging lens is the opposite, and when multiple lights are shined into them, the rays of light refract and converge at a focal point. Lastly, we learned about two types of rays. The first ray is a parallel ray, which is from the object being parallel to the optic axis through the focal point on the other side. A focal ray, is from the object through the focal point on the object's side through the lens, then parallel. 



Tuesday, July 16, 2013

Physics Unit 10 (Part 2)

 We learned a lot in class today, which, in all honesty, was pretty painful. We learned a lot more about lights and reflection, which was both interesting and incredibly confusing, so please bear with me as I attempt to explain everything.

 First of all, there's this type of light called white light. White light has all frequencies of ROYGBIV, which means that it has the frequencies of all the colors of the rainbow. When an object is a certain color, that means that the object is reflecting the color that you are seeing, while absorbing all the others. Also, black absorbs all the colors while white reflects them, so if you are ever planning on walking around in a desert, make sure you're wearing a white shirt when you do so. Wearing a white shirt will keep you a lot cooler than if you were wearing a black shirt. Now that you (hopefully) understand white light, let's move on to colored lights (because I am unbiased like that). So, in the pictures on the left, you can see my teacher, Mr. Blake, standing in red light and green light, and even though it might be hard for you to determine, he's wearing a red shirt. So, since his shirt is red, you know that it is absorbing all other colors except for red, which is being reflected. When he's standing in the red light, his shirt is going to look red, because it is still reflecting red back. However, when he is standing in the green light, his shirt will look black. The reason his shirt looks black, is because there is no red light for it to reflect at all, which causes it to look black instead.

The picture on the left is of the Color Wheel of Light, which has the primary colors, also known as the main colors of light. It also shows what color two lights make when they are shining into each other, as well as the complimentary colors, which are colors on the opposite sides of the wheel that, when added together, make the color white. Unfortunately, you can't think of the color wheel of light as anything other than related to light. I know that it's confusing, and you want to think of it with the same concept you would paint, but when you mix the colors together, they make white, not brown.



 This next picture, show my Mr. Blake's three shadows, which are the results of shining three different lights at him, a red light, a green light, and a blue light. As you hopefully noticed, those are the primary colors that I listed above. The order of the lights from left to right were green, blue, and red. You can tell, because the shadow on the left is cyan, which means that it had the lights green and blue on it, while Mr. Blake blocked the red light. The middle light is yellow, which means that green and red were shining together to create that color while Mr. Blake blocked the blue from interfering. Lastly, there is magenta, which is made up of red and blue, with Mr. Blake blocking the green light. You can also see that the sort of square around the shadows is white-ish, which is a result of the three primary colors mixing together.



A common misconception people have is why the sky and ocean are blue. Most people think that they're blue because they are reflecting each other, but that is actually wrong. The sky is blue (actually more of a violet color, but we can't really see that), because blue wavelengths are scattering in the atmosphere due to nitrogen. The ocean is blue because the water absorbs the ROY in ROYGBIV, leaving the green, blue, indigo, and violet to be reflected. Also, a really cool fact that Mr. Blake told us today had to do with why fish are red, since you'd imagine they would want to be darker and not draw attention to themselves. In actuality, because the red, orange, and yellow frequencies are being absorbed in the water, there is no red light to reflect off of the fish. This means that the fish appears to be black in the water, and keeps it safe (isn't that awesome?!).

 We learned one of the Laws of Reflection, which stated that an angle of incidence equals the angle of reflection (works for all mirrors). Also, all angles are relative to the normal, which is perpendicular to the surface. This means, that when you shine a light at a mirror and you imagine a perpendicular line coming up from where it hits the mirror, the angle the light is reflecting at will be the same as the angle of the original light... if that made any sense at all. If you look at the picture to the left, you can see Mr. Blake shining a laser at a mirror. The light that is coming out of the laser is the light with the angle of incidence. The point where you can see that the laser hit the mirror is where the normal would be. You can see where the light reflects off the mirror, which is the angle of reflection. Relative to the normal, both angles will be equal.

Lastly, we learned that while you can't see light normally, when it is foggy, you can. This is (I believe) because of the light reflecting off the little droplets, which then go into your eyes, allowing you to see them (doesn't the picture on the left look amazing, they're kinda like extremely long, narrow lightsabers!!).

So, if you can only take one lesson out of this whole blogpost, let it be this: next time your car breaks down in the middle of an incredibly foggy forest at night, instead of heading into the woods to inevitably find the creepy cabin and get yourself killed, pull out your laser and have a lightsaber battle with your friends until morning (or the fog goes away, whichever happens first).

Monday, July 15, 2013

Physics Unit 10


The picture above, in case you didn't know, is a picture of the sun. Now I know everyone who is reading this is asking themselves "why is there a picture of the sun?", and I, being the incredibly generous person that I am, will tell you. In this unit, we are learning all about light behavior (woohoo, light behavior!!). In class, we pretty much spent the whole time learning a lot of vocabulary, as well as all about the electromagnetic spectrum.

First of all, light is a transverse, electromagnetic wave, and doesn't need a medium. This makes sense, since light travels through space. The speed of light, when written as a variable is a lowercase c, and is 3 x 10^8 m/s. In other words, the speed of light is 300,000,000 m/s. A light year, on the other hand, is the distance light travels in one earth year. An interesting fact to think about, is that the only reason you can see anything, is because light is reflecting off the objects and going to your eyes. If the light didn't reach your eyes, you wouldn't be able to see anything.

Two important terms that we learned today are opaque and transparent. When something is opaque, that means that the object is impenetrable by light. Transparent, is the exact opposite of opaque, which means that it is penetrable by light and other electromagnetic waves. An example of the two terms is saying that glass is transparent to visible light, but your eyelids are opaque. In other words, light can go through glass, but can't go through your eyelids (thank goodness for eyelids!). 

Lastly, we learned about the electromagnetic spectrum, which is the range of different wavelengths based on types of known waves. The electromagnetic spectrum is based on ROYGBIV, with red as low energy, and violet as high energy. Frequencies, wavelengths, and energies govern the different wave properties. While I'm not going to go into detail of the amount of hertz each category has, I am going to list them in order from highest to lowest energy rays instead. First, with the highest energy rays are gamma rays, which are responsible for nuclear reactions and cosmic rays, not to mention The Hulk. After gamma rays, there are x-rays, which are high energy waves that can cause mutations in cells, skin burns, and cancer. X-rays are opaque to bones and transparent to skin and muscle, which is why we used to use them whenever we had to see if we had broken bones. After that, there are ultraviolet (UV) radiation, which is beyond the visible region of the spectrum. After UV radiation, there is the visible spectrum, which has frequencies that are visible to humans. This is a very small portion of the spectrum, however, and it makes me wonder about all the things that we aren't seeing (oooh, spooky, right? Nah, not so much, actually...). After that, there is infrared, which is in the region with frequencies just below the red. Infrared gives off heat energy and radiation, and its frequencies are most absorbed by water. After infrared, there is the energy that comes from microwaves. Microwaves have the same energy is used in speed guns, and wireless transmitters. Lastly, but definitely not least, we have the waves that come from radios and televisions, which give off the least amount of energy rays out of everything else. 

I thought I'd put another picture, because who doesn't like pictures of sunsets?






Sunday, July 14, 2013

Physics Unit 9 (Part 2)

We learned more about waves and sound in class on Friday. The picture above is an illustration of the range of human hearing (please excuse my bad drawing). As you can see in the picture, humans can hear sonic frequencies, which are between 20 Hz and 20,000 Hz. Animals such as whales and fish can hear infrasonic frequencies, which are from 20 Hz and down. On the other hand, elephants, bats, and dogs are a few animals that can hear ultrasonic frequencies of 20,000 Hz and more. (all of my information about animals came from the internet...)

Through a lab that involved tuning forks (I keep calling them pitch forks in my head, it's a problem), a graduated cylinder almost completely filled with water, and a tube of some sort. The purpose of the lab was to learn how to find the speeds of waves. First, we would hit the tuning fork on something harder so it would vibrate and create a pitch due to its natural frequency. Once the tuning fork is creating a sound, we would put it over the tube, which was submerged in the water, and then lift it slowly until the sound of the tuning fork was made by the rest of the graduated cylinder. When that happened, we were able to find the wavelengths of the tuning fork was making, by measuring the length of the tube from where it came out of the water to the bottom of the tuning fork, then multiplying that by four. Once we found the wavelengths, we were able to find the wave speed by multiplying the wavelengths by the frequencies of the tuning forks.

In class we also learned more vocab words, such as:
Refraction = the bending of waves due to changes in the medium
Reflection = the bouncing of waves
Dispersion = the spreading out of waves
Standing waves = waves that look like they're not moving
Natural frequency = the frequency of an object wants to vibrate at after an external disturbance
Resonance = the increase in amplitude of a system exposed to a force at an object's natural frequency
Sound = a vibration that causes a longitudinal wave
Pitch = the frequency of sound
Speed of sound in air = 331 + .6(Tc)

  • 331 = the speed of sound in dry air at 0°C
  • Tc = temperature in celcius    




Thursday, July 11, 2013

Physics Unit 9

We started Unit 9 today, which was both interesting and incredibly painful. This unit is focused on waves and sound, although we haven't really covered much of sound yet. We pretty much spent the whole day learning about waves, how to graph them, the different parts of them, and so on.


The picture on the left is a wave. A wave is a vibration in space, and a vibration, is pretty much a wiggle in time that moves back and forth between points. Anyway, there are many different parts of a wave. There is a thing called a loop, which is pretty much the curve of the wave. In this picture, there are three loops. There is also the crest, which, as shown in the picture, is the top part of the loop, while a trough is the bottom part. Both the crest and the trough are antinodes, which are the parts of the wave that move. A node, on the other hand, is the part of a wave that doesn't move, which is located in between the loops of a wave. Next, there is the amplitude. An amplitude is the distance between a crest and the equilibrium point of the wave, or the trough and the equilibrium point. Lastly, there is a thing called a wavelength. A wavelength, is measured from two identical portions of the wave. As you can see in the picture, the wavelength starts at an equilibrium point and ends at the next equilibrium point where the wave is travelling in the same direction, in this case, down. An easier way to find the number of wavelengths a wave has, is to count the number of loops the wave has, and divide it by two. In this case, there are three loops, so there are only one and a half wavelengths.

Here is some more important vocab we learned:
Medium = the thing that carries the wave
Period = the amount of time it takes for one complete cycle to occur
Frequency = ƒ = how many cycles pass in a second. Unit = Hertz (Hz) = 1 cycle ÷ second
Transverse waves = when the wave energy moves perpendicular to the wave velocity
Longitudinal waves = waves in which the energy moves parallel to the wave velocity
Principal of Superposition = says multiple waves can exist in the same space
Constructive Interference = if waves collide with each other and are both positive or both negative, they will create a loop twice as large as their original size. However, if a positive and a negative wave collide, their opposite forces will cause a flat wave.



Wednesday, July 10, 2013

Water Bottle Rocket




The picture above is of Rachel and my whole rocket, including the cone and parachute. As you can see by the picture, we made the cone by folding paper into a cone shape and taping it up for durability. The parachute was made out of a garbage bag, which we cut into a circle. We then poked four holes into the bag on opposite sides after putting tape on it first, so the string wouldn't rip the bag if anything happened to it. After tying the string through the holes, we threaded them back to the rocket, where we tied them around the neck of the bottle. When launching the rocket, we folded the parachute into the cone, and then put the extra string from the parachute into the bottle of the rocket, so they wouldn't get in the way or open prematurely. The rocket itself was made out of two two-liter bottles. We cut off a fourth of one of the bottle's bottoms, so we could fit the bottles together, since longer rockets work better. At the bottom of the rocket, we had four fins, which were made out of cardboard that we had cut into triangles and then taped up afterwards.


The picture on the left shows our two cones. The cone on the right was our original cone, but we had taped a rock into the top of the cone, and when we tried getting it out, ended up ripping the paper a bit. We had to leave the tape in there so we didn't have to make a new cone (we did anyway), but the tape ended up sticking to the parachute, so the parachute wouldn't work. We then made a new cone, which was, as you can see, taller and skinnier. The cone being skinnier was actually a good idea, because it didn't really fit on the bottle, so it came off a lot easier. We also didn't put any tape on the inside of the cone this time, so the parachute had an easier time coming out. The first time we used the new cone, the parachute came out easily and helped the rocket land easier. Our rocket was able to stay in the air for 9.1 seconds, which was still a lot better than I was hoping for. Unfortunately though, after that one launch, our parachute didn't work after that, which might have been because of the cone getting squished a bit, or because Rachel and I got worse and worse at folding the parachute and putting it into the cone.
However, besides our mishap with the cones, everything else worked out pretty fine. The fins didn't break off, which was a big relief, and they, along with the cone, stabilized the rocket when it was in the air, making it a lot less wobbly.

Rachel and I found that filling the bottom bottle of the rocket halfway was the optimal amount of water.  Too much water means that there is too much mass, so the rocket wouldn't launch very high. Funnily enough, if you don't have enough water, you get the same results. Our psi, when launching the rocket, was always somewhere between 60 and 80.

Some of the physics I learned was that one side of the rocket couldn't be too much heavier than the other side. If the bottom was too heavy compared to the top, then when launched, it would be really wobbly. I also learned that it was better to have a cone rather than not, especially when you have a parachute. If you use a cone, it also acts as an extra weight for the top of the rocket, but also makes the rocket more aerodynamic. Also, if you didn't use a cone when using a parachute, the parachute would just add drag to the rocket when launched, so it wouldn't launch as high, resulting in less time in the air for the rocket.

Overall, I had a lot of fun with this project. Rachel (she's the one on the right in the picture) and I worked well, and we are both really happy that our rocket didn't break, although the head of the rocket got dented every time it nose-dived into the ground. We're really happy with our nine seconds, and had a lot of fun while building our rocket and launching it.


Tuesday, July 9, 2013

Water Bottle Rocket Engineering


The picture on the left is of our rocket. It is made out of two 2L bottles, although we cut off a fourth of one in order to elongate our rocket without making it too long. As you can see, we fit the bottle without the bottom onto the other bottle so they overlapped a bit. We made four fins out of cardboard and taped them with scotch tape to keep them waterproof. We then glued the fins to the bottom of our rocket as well as taping them, to make sure they didn't fall off our break off when the rocket landed. Our cone was made out of a lot of paper which Rachel and I folded into a cone shape and then taped it up as well. Not only that, but in order to add a little extra weight to the top of the rocket to keep it from getting out of control, we taped a rock to the inside of the top of the cone. We also made a parachute out of a trash bag. We connected the parachute to the bottle by poking four holes into the parachute, then threading string through them. 

While launching the rocket today, we didn't use the cone, since we hadn't yet finished the parachute and only had thirty minutes left for launching practice. Our rocket, surprisingly enough, did a lot better than Rachel and I expected it to, since we didn't actually have any added weight on the top of the rocket to make it steadier. However, both times we launched the rocket, it was in the air a little over six seconds both times. We filled the rocket about halfway with water, and pumped it to around sixty psi. While the rocket did wobble a bit while in the air, it went really high, so hopefully we can fix it by adding more weight to the top of the rocket. 

Hopefully tomorrow after testing the rocket with the parachute and making adjustments it manages to stay in the air for at least ten seconds. While I'm still really worried, I think that with the two hours we have for launching the rockets, Rachel and I will manage to do whatever we need to do to get our rocket to stay in the air for those four extra seconds.


Monday, July 8, 2013

Physics Unit 8 (Part 2)

Today we learned all about power. Power, is the rate at which work is done, and work, in case any of you have forgotten, is the change in energy. To find power, you take an objects work and divide it by the amount of time used. The unit used to measure power is watts.

Power = work ÷ time
Work = newtons x meters

We had a lab today where we had two students run up stairs. We then recorded their masses, the distance up the stairs they travelled and the amount of time it took them to get up all the stairs. With that information, we were able to find the students' forces, which then allowed us to find their work as well as their power.

In the picture to the left, my dog is running down some stairs. Let's say she has a mass of 8kg, ran down 1 meter of stairs which took her 2 seconds, and that she's on Earth (which she is), so gravity would be 9.8ms^2. This means that she had a force of 78.4N (force = ma). Now that we have her force, we can find her work, which would be 78.4J (work = Nm). Finally, we can find her power, which would be 39.2W (power = work/time). If Abby was a Great Dane, she would have a much higher power, because when object's have greater masses, they have greater powers.



We also learned how to draw energy graphes, which is actually really confusing at times. The graphs, no matter how confusing they are, are actually really good at demonstrating the concept of potential energy vs. kinetic energy. Through time, as the potential energy went down, the kinetic energy got higher, which was made clear in the graphs. The same thing works for other concepts too, like kinetic energy vs. work.




Sunday, July 7, 2013

Physics Unit 8

In class, we learned about energy and work. We learned about the different types of energies and how to find them. We also learned about the Law of Conservation of Energy, which states that energy cannot be created or destroyed, it only changes form. Energy is a scalar quantity, which means his has magnitude but no direction. We also learned about joules, which is the unit you would use for energy, and is found by multiplying the object's force (newtons) with its height (meters).

There are three types of energy (that we learned about):
Kinetic energy = energy of motion. Temperature is a measure of average kinetic energy.
Its equation is KE = 1/2 x mass x (velocity)^2 = 1/2mv^2.
The picture on the left is my Jack Russell Terrier, Abby. So, using the equation, if she had a mass 8kg, and a velocity of 2m/s, her kinetic energy would be 16 Joules.













Spring potential energy = the potential energy in a spring (its name speaks for itself). Its equation is PEs = 1/2 x spring constant x (the distance the spring is stretched/compressed)^2 = 1/2kd^2. In order to find the spring constant, you would use the slope of a Force vs. Time graph.  The picture on the left is of a rubberband and a spring, both of which have spring potential energy when they are either stretched or compressed.
Potential (gravitational) energy = the potential energy of an object (once again, it's name speaks for itself). Its equation is PEg = mass x (acceleration of) gravity x change in height = mgh. The picture on the left is of my deodorant                   (ew, deodorant) about to jump off my dresser, which is about a meter tall. If my deodorant has a mass of 1kg, and yes, we are on Earth, then my deodorant's potential gravitational energy is 9.8 Joules.











Some extra equations we learned are:
Hooke's Law = Force of spring = -kd. K is the spring constant, and d is the distance that it is stretched or compressed. The negative in front of the k is to show which direction the spring is being pulled/pushed. This equation doesn't actually have to do with energy, but is still useful.
Work = change in energy = force x distance.


Wednesday, July 3, 2013

Egg Drop Lab


 Caitlin and I made our capsule out of a cardboard box. Since we the biggest our box could be was 35cm x 35cm, we made ours with a height of 31cm, a width of 16cm,  and a length of 31cm as well. We used a golf club sock and stuffed crumpled paper halfway into the sock to provide cushioning, as well as to crumple upon impact when hitting the ground so the time of impact would be elongated. This would allow the average force to be spread out through a longer period of time, so all of the force didn't act upon the egg at once. When putting the egg into the sock, we put bubble wrap around it as well, so there was a lesser chance of the egg moving out of place and cracking. We also wrapped the sock in bubble wrap for the exact same reasons. Caitlin and I also put a lot of crumpled paper into the box around the sock and under it. When we were brainstorming how to make the capsule, Caitlin and I thought it would be a good idea to accordion fold the sides of the box so they could crumple as well upon impact, but then we just decided not to. Lastly, we made sure our box was light, so there wouldn't be as much force when the capsule was dropped.




As you can see in the picture to the left, there are two diagrams. The first shows the capsule when it's falling. The forces that are acting upon the capsule are air resistance and weight, air resistance pushing up, and weight pushing down. The reason air resistance is so much smaller than weight, is because, since the capsule is falling, weight has a stronger force than air resistance does. The second diagram is for when the capsule hit the ground. While the capsule was still accelerating downward, its normal force was so much bigger, since it had just hit the ground, which is shown in the diagram.

















Our capsule was 100% successful! The reasons for its beautifully untarnished shell, was mostly because of all the padding we had in the box. All the paper and bubble wrap lengthened the contact time, which, as I explained earlier, meant that there was less average force per second, so the force acted upon the egg at a much slower pace than if there was no padding at all. Also, as you can see of our capsule in the top left picture, it looks like our capsule hit the ground on its corner, which was the optimal area, since that corner was the farthest away from the egg, which was in the middle of the box. I think if I were to do this lab again, I would try to make the capsule smaller than it was before, since the less mass it would have, the less force there would be when the capsule hit the ground.







Tuesday, July 2, 2013

Physics Unit 7 (Part 2)

Today, we reviewed momentum and impulse more. The picture to the left is one of the examples that were demonstrated in class. Someone would be sitting on the hover board while another would be sitting on the danger board. They threw a medicine ball between them, and when they did, both the person throwing the ball and the person catching the ball moved backwards. The reason thrower's moving back was because as they exerted force onto the ball, the ball was exerting the same amount of force onto them, which caused them to accelerate backwards. As for the catcher, when catching the ball its momentum was transferred to the catcher, since momentum is conserved. In the situations, one person moved farther back than the other (normally it was the person on the hover board, but that could've been because the danger board had friction) and this is because they had less mass than the other, so they had a higher velocity.




The only new thing I remember learning today is the rule that under the curve of a Force vs. Time graph, the area is equal to impulse. Speaking of impulse, we went over it a lot today and I still find it incredibly confusing, so I thought I would just write out the equations/definitions as a review for myself and whoever else wants it.

Impulse: the average force exerted upon an object multiplied by the time the force is acting on the object. Change in momentum of an object.

Impulse = J or I ('cause it's just cool like that)

J = change in momentum = mv - mv= avg. force • change in time





















Monday, July 1, 2013

Physics Unit 7




Today we started Unit 7 (woohoo!!) which is based on momentum and collisions. We spent the day learning about momentum and and impulses. Momentum, whose variable is p (capital P is for total momentum), is a vector quantity, which means it can be added like vectors. To find momentum, you would do mass times velocity. And in order to find the total momentum, all you have to do is add up the individual momentums. The Law of Conservation of Momentum states that in a closed system, the momentum of a system is always conserved. Impulse is the average force upon an object multiplied by the time the force is acting on the object. Impulse is also the change in momentum of an object, and its variables are I and J (totally makes sense, I know).

In case my explanations were confusing and you would have preferred equations, here they are:
p = momentum
P = final momentum
I or J = impulse

F = force
p = mv
P = p1+p2+p3...
I = F • change in time
I = change in momentum = mv - mvo



In today's lab, we used air tracks and used two gliders to measure their collisions and see how their velocities changed based on their masses and how they hit each other. We used rubberbands at first so that when the gliders hit, they would bounce off each other. This kind of collision is called an elastic collision. We also replaced the rubberbands with two metal pieces, one side with a pin and the other with wax, so when they collided, they would stick together rather than bounce apart. This kind of collision is called an inelastic/sticky collision.






Also, we could all use a little Bill Nye in our lives, so here is a video where demonstrates aspects of physics, if anyone wants to take a walk down memory lane (I was going to just add the whole episode link, but it didn't work).

Thursday, June 27, 2013

Physics Semester 1 Review

Uugh, I can't believe that the first semester is already over and that it's only been three weeks. It feels as though we have spent months in this class and yet hardly any time at all. That's probably because we learned so much these past three weeks.

In Unit 1, we learned about accuracy and precision, conversions/stoichiometry, scientific notation, and the different types of graphs. We mostly focused on the graphs and the different relationships their variables have with each other, which was helpful, since we're still using that knowledge now while making graphs.

In Unit 2, we began learning about kinematics. We learned about motion maps and how to draw them, and about scalar and vector quantities. We also learned about the difference between distance and displacement, speed and velocity, what acceleration is, as well as about the three graphing rules.

In Unit 3, we learned more about acceleration. We learned how to draw Distance vs. Time graphs, Velocity vs. Time graphs, Acceleration vs. Time graphs, as well as how one graph could help us draw another one. We also learned about the DAT, VAT, and VAD equations and how to use them, as well as what steps to take while solving the equations.

In Unit 4, we learned about projectiles. We learned about how to draw diagrams of projectiles and how to draw graphs. We also learned that when making graphs, the two axes are independent. We also learned how to use the DAT, VAT, and VAD equations to find whatever factors we needed. These problems were complicated at first, but became a lot easier with practice.

In Unit 5, we learned all about forces in equilibrium and how to use vectors. We learned the bureku technique, which allows us to break up diagonals on free body diagrams in order to find the information we need. We also learned what force is, which is a push or pull and is a vector quantity, as well as a couple types of force. Lastly, we learned Newton's three laws of physics, which provide us with a greater understanding of why things act the way they do.

In Unit 6, we focused on Newton's second law, which states that Fnet=ma. We learned how to draw and do problems that involve acceleration, which we didn't know how to do in the previous lesson. We also learned more about friction, and how there are two different types: static and kinetic. Static friction is stationary motion, while kinetic friction is moving friction. We also learned how to find the force of friction, which is equal to the coefficient of friction times the normal force. The coefficient of friction is pretty much based on the stickiness of the object.


In all honesty, I absolutely love this class! Mr. Blake makes learning interesting by adding in jokes and relating to us, unlike other teachers, who would just talk at us without waiting to see if we understand. I think the pace of this class is almost perfect, if not a little fast sometimes, but I don't really think there's any way that can be fixed, since we have so much to cover in so little time. I also like how I am beginning to look at things outside of class and being able to relate what they are doing to what we are learning in physics.

Most of the stuff we learned I understand decently, but units 5 and 6 are definitely the two units that I struggled the most with. I have a hard time doing the bureku technique as well as drawing free body diagrams, since I find them so confusing. However, the reason that I have such a hard time with units 5 and 6 could just be because we only learned them this week, and we didn't have enough time to practice. Either way, I'm really looking forward to another fun 3 weeks of physics!!

Wednesday, June 26, 2013

Physics Unit 6

Today we started learning about how to find the acceleration of objects by using Newton's Second  Law of Physics, which states that the net force of an object equals its mass times its acceleration (Fnet=ma). This whole new system is both terrifying and confusing for me, but I hope that this post acts as a good review for me, and hopefully by looking over my notes again, I gain a stronger understanding.

So, there are three steps to take: 1) draw free body diagrams, 2) find acceleration of the system, and 3) choose one mass to find T. Using these three steps, I will show an example problem to help clarify what you are supposed to do.
Problem: There is a box of 50 kg on top of a frictionless table being pulled by a piece of rope which is in a pulley (changes direction of force). At the end of the rope is another box hanging over the side of the table with a mass of 10kg. Find the acceleration of the system and its tension of the string.







1. Draw free body diagrams.











2. Find acceleration of the system.
Ok, so for a while I didn't understand how to find the Fnet, and I'm not entirely sure if what I think is correct actually is correct, but oh well. The way I think you're supposed to find the Fnet is entirely based on your free body diagram. With it, you can see what forces you can use and which you can't. The normal force and the weight of the 50kg box are equal, which means that they have a difference of zero newtons. The 10kg box, on the other hand, has a much higher weight than it does tension, since the box is accelerating down. This means that when pluggin in the answers for the Fnet, you would subtract the smaller value from the bigger one, in this case that would mean that the tension is being subtracted from the weight of the 10kg box. Since the 50kg box is connected to the same string as the 10kg box, they have the same amount of tension, which would be added to the Fnet, since the variables are on the same axis. As for the rest of the equation, you can just plug everything in based on the information you already know.

3. Choose one mass to find the tension.
Once you find the acceleration, you use the same Fnet=ma equation to find the tension. You only had to choose one of the two boxes to find the tension, but I wanted to show that the tensions were the same, so I solved for both. Anyway, for the 50kg box, like I said earlier, its normal force and weight are equal, so the only Fnet I had for it was its tension. The 10kg box, however, had its weight and tension, so I used both. Once you figure out what exactly to plug in, the actual solving of the equation is relatively simple.



I'm not entirely sure if I was even right about my explanations on how to solve everything, but on the bright side, at least I now have a somewhat stronger understanding of how to solve problems like these.


Tuesday, June 25, 2013

Physics Unit 5 (Part 2)

In class today, we learned about Newton's last two laws of physics, so I thought that I would spend this whole post just going over what each law means and how it applies to every day life.


The first law is the Law of Inertia, which states that an object in motion tends to stay in motion while an object at rest tends to stay in rest unless an outside, unbalanced force acts upon it.

The picture above shows Caitlin and me in Driver's Ed, which is a three hour class we attend on Mondays and Wednesdays after physics, and as you can see, we are enjoying every minute of it.  In terms of Newton's first law, Caitlin and I are the objects at rest. We basically sit in the exact same spot hours at a time doing pretty much nothing. In Driver's Ed you eventually give up staring at the clock and sink deeper and deeper into a haze of tiredness and road signs. By the time you are two hours into Driver's Ed, all you can do is fight to stay conscious, so when the instructor announces that it's time to go on break, you are so unprepared for the news that you are instantly overwhelmed with the feeling of elation. Said elation, in relation (it rhymes!!) to the Law of Inertia, is the unbalanced force that pushes the object at rest into motion, and is what causes Caitlin and me to move out of our states of rest and practically skip out of the classroom to do a celebratory dance. 


Newton's second law is the Law of Acceleration, which states that the acceleration of an object is directly proportional to an object's net force, and the acceleration of an object is also inversely proportional to the object's net mass. The equation for the law is Acceleration = Sum of force ÷ mass. 


In this picture we see our friend, Bob, who likes golf. Newton's second law talks about how acceleration is equal to the amount of force of an object divided by its mass. Bob just hit a golf ball, and it has a high acceleration.


Now, in this picture we see Bob, trying to hit a truck out of the way because it is right above his golf ball. Unfortunately, our friend Bob isn't all that smart, and he thinks that he would be able to move the truck if he hits it with his golf club. Bob had swung with all his strength when hitting the golf ball, and since it went so far, he thinks that if he hits it just as hard, the truck will move. Too bad Bob didn't know about Newton's second law of physics. Because the mass of the truck is so much greater than the mass of the golf ball, the acceleration of the truck is going to be a lot less than the golf ball's. In other words, the truck isn't going to move at all.



Newton's last law of physics is the Action-Reaction law, which states that for every force (action), there is an equal and opposite force (reaction), which is equal in magnitude, but opposite in direction.

In this picture, my friend's and I are playing a game at Dave and Buster's that involves pushing the buttons that light up in order to get more points. My friends and I are very aggressive, so we ended up hitting the buttons incredibly hard, which in turn, made our hands incredibly sore after. Part of the reason why our hands were so sore, besides the fact that we were just slapping hard plastic over and over again, is because of what Newton's law stated. As we were hitting the buttons, the buttons were pushing back against our hands with the same amount of force that we were hitting them with. In other words, the whole time we were slapping the buttons with all our strength, the buttons were punching us back just as hard. It's funny, because right now the "I am rubber, you are glue; whatever you say bounces off me and sticks onto you" saying is going through my head right now, and it actually applies to Newton's law in a way, except instead of saying something we're just hitting the rubber and the rubber's just hitting us right back.




Monday, June 24, 2013

Physics Unit 5

Today, we started Unit 5, which revolves around forces in equilibrium. Force is either a push or pull and is a vector quantity. Force in equilibrium is when the force is balanced. We learned about different kinds of forces as well as the Newton's first law of physics, which has to do with inertia; it states that an object in motion will stay unless acted upon by an outside, unbalanced force. Inertia, by the way, is an object's ability to continue doing what they are doing.

We reviewed vectors and how to solve them (woohoo, trigonometry). We learned that vectors would be equivalent if they have the same magnitude and the same direction. Basically, if two vectors start at the same spot and end at the same spot, they're equivalent. While there are diagonal vectors, we only focused on how to make vectors into right triangles by drawing extra vectors, in order to make it easier to solve with vectors. By having the vectors as right triangles, we can use SOH CAH TOA to find the lengths of vectors or their angles.

We also learned the three steps to using vectors to solve for sides or angles, which is:
1. Break up diagonals (Bureku) into x and y.
2. Add all values together to get a sum (axes are still independent) resultant.
3. UKERUB (Bureku backwards) - take x and y sums and create a new vector.




Sunday, June 23, 2013

Physics Unit 4 (Part 2)




In the beginning of class, we had our lab practical, which was basically the same thing that we did in the previous class, where we launched a plastic ball out of a ball-shooter-thing. The reason for shooting the lab/lab practical was to practice our equation solving of two separate variables, which we did in order to predict where the ball would land.  During the lab, we kinda failed a little bit, and we were consistently hitting the same area in between the 2 and 3 section of the paper (yay precision!). HOWEVER, during the lab practical, we consistently hit right around the middle of 5 (yay accuracy AND precision!!) and it was kind of amazing (my group cheered really loudly and I felt really bad afterwards for doing so). If you squint and move your face about an inch away from the computer screen, you can see the little dent that we made and circled with a pencil for better evidence. 


After the lab practical, we basically spent the rest of the day learning about how to launch rockets while predicting various elements like where they would land, or what their velocity would be. We used SOH  CAH TOA, with the original velocity as the hypotenuse, the horizontal initial velocity as the adjacent, and the the initial velocity of y as the opposite. We only used one angle for solving equations to keep everything consistent. For example, if you had an initial velocity of 25 m/s, and the angle was 40 degrees, and you wanted to find the initial horizontal velocity, you would do Cos 40° = VoX ÷ 22 m/s, you would find that the initial horizontal velocity would be 19.2 m/s.



Thursday, June 20, 2013

Physics Unit 4

So, we started Unit 4 today, and we started off with learning how to use the DAT, VAT, and VAD graphs on objects that are moving both up or down and left and right. In other words, we are learning how to use the equations on stuff that is either being thrown or dropped. The idea of graphing two different things at once was a really terrifying idea for me, but now, while it is still very terrifying, using the equations on them isn't as difficult as I thought it would be.


We had a lab today which involved shooting a little plastic ball out of the object in the picture above. The reason for this lab was to practice solving for the two equations on both distance and height, since the ball was moving forward and down at the same time. This lab along with all the other practice problems that we had were really helpful and I gained a stronger understanding of what to do. Unfortunately, while my group's lab practice wasn't very accurate, we were very precise and hit the same area every time we tried shooting the ball.