Monday, February 27, 2012

Unit reflection

This unit, we learned about multiple aspects of physics. The most important parts were the work-energy theorem, relationship between kinetic and potential energy, and the mechanics of work, kinetic energy, and potential energy.
We learned that work equals force times distance.
If a person pushes on a wall, he does no work because the wall does not move. If he carries a book, he does no work on the book because the force and distance vectors are perpendicular.
The work-energy theorem states that the change in energy equals work.
If we know the work and initial or final energy of an object, we can calculate the total energy of the object.
Kinetic and potential energy are inversely related. If one goes up, the other goes down by the same amount.
If an object's total energy is 10,000, and it's not moving, it has 10,000 joules of potential energy. If it has 5,000 joules of potential energy, it has 5,000 joules of kinetic energy.
An object's kinetic energy is calculated using this formula:
If an object's speed is doubled, its kinetic energy is quadrupled. If an object's speed is halved, it has one quarter of its original kinetic energy.
An object's potential energy is calculated using the following formula:
This also shows the work-energy theorem. If an object's mass and acceleration due to gravity are the same, but one has more potential energy, that one has more height. If one's potential energy is higher, but they have the same height and acceleration due to gravity, the one with more energy has more mass.

Sunday, February 26, 2012

Mousetrap car final blog

Unfortunately, when all was said and done, our mousetrap car was not victorious. However, we paid attention to how physics affected our car, so we can give an account of how what we've learned this year figured into our car.
The most obvious was Newton's laws of motion. The first law, that an object in motion would stay in motion in a straight line unless interfered with, was important for designing our steering. We knew that if our car turned, the steering was off. This allowed us to align our wheels as straight as possible. The second law, that acceleration is the net force divided by the mass, allowed us to figure out how to get a faster car. By reducing the mass and increasing the acceleration, we made our car have slightly more force than it did previously. The third law, that every action has an equal and opposite reaction, meant that we had to figure out how to direct the backwards force. The lever pushed the car forward, but the wheels pushed backwards against the floor. This propelled the car forward.
The friction of the floor against the wheels was both a boon and a hindrance. It pushed the car forward, but too much meant that we had a slow car, and we did not win. The friction used up energy from the mousetrap and acted on the car in the backwards direction.
We chose to use CDs for wheels, as they have a larger tangential velocity than a small wheel with the same rotational velocity. This allowed the car to move faster than with a small wheel. Originally, we planned to use 45s, but the difficulty in procuring them, plus the potential difficulty in securing them to the axle, caused us to scrap that plan. We also powered our car with the same plan. The tangential velocity of the skewer on the trap was higher than that of the trap itself, meaning more momentum and acceleration for the skewer.
The law of conservation of energy says that energy is never created or destroyed, just transferred. We used the skewer attached to the trap to impart a lot of energy to the wheels. Kinetic energy equals 1/2 mass times the velocity squared, so if the skewer had high velocity, the car would have lots of energy.
Our lever arm was a skewer. It was about 10 inches long. This, times the force of our car, meant that the torque was higher than the torque if we hadn't used a skewer. there, the lever arm would only be a few inches.
While the rotational velocity of our wheels was high, so was the rotational inertia. This meant a slow start, and therefore, low acceleration. we were unable to fully overcome this problem. Thus, our car did not move when it wax propelled. This was unfortunate.
We do not know how much work the car did. While we know how far it traveled, and we could determine the mass of the car, we don't know its acceleration. Thus we cannot determine the force, and therefore cannot determine work.
The general design of our car was the same as it was at the start, with some changes. Most notably, we replaced cotton balls in our plans with rolled-up paper towels. We also used a skewer instead of a pencil for a lever arm, and used a rubber band to connect the back axle and the end of the lever arm skewer. Mostly, though, the plan was unchanged.
We encountered a problem propelling our car. We could not get it to go, so we were unable to do a run. Thus, we were not victorious. This is still unfortunate.
If we were to do this project again, I would choose to develop a better way of propelling our car. Everything else worked fine. The wheels rolled, it went mostly straight, and the car stayed together. We just couldn't propel it.

Tuesday, February 21, 2012

Mousetrap car: Day 2

Today, followed a better formula. While our initial plan of replacing the CDs with plastic bottle caps was a failure due to the drill resistance of the caps, we used rolled-up paper towels and tape to position our CDs on the skewer axles. This worked better than any previous design. This design was able to roll 5 meters with us pushing it, so we decided to use it.

Friday, February 10, 2012

Mousetrap car: day 1

We were unable to progress far, due to a breakdown of communications. We succeeded in drilling holes for the eyelets, and inserting those. However, we were unable to progress further than that. We hope to do more work on the car over the weekend.

Mousetrap Blog

We are using the following items to construct our mousetrap cars:
Food skewers (axles)
4 CDs (wheels)
Mousetrap (body and power source)
Eyelets (to hold the axles)
cotton balls (to keep the CDs in place)
A pen or pencil (to help power the car)
String
Process:
We will screw the bolts in. Then, we will put in the skewers. After that, we will glue on the pen to the mouse trap (to give the trap a higher rotational velocity). Then, we will put the CDs on the axles, and tie the string to the pen and rear axle. We will activate the trap, propelling the car forward.