There are many factors that went into making the mousetrap car travel the required 5 meters. Based on Newton's first law the mousetrap car would stay at rest unless a force was applied to it, so when the mousetrap was set off the metal bar applied a force that pulled the string that pulled on the axel of the back wheels to cause motion in the wheels. Newton's second law states that force=mass x acceleration which explains how when the car has a small mass and a great force from the metal bar the acceleration of the car is greater. Newton's third law states that every action has an equal and opposite reaction, so when the wheels push the ground backwards the ground pushes the wheels forward causing the mousetrap to move forward.
The disc wheels of our car were lined with balloon rubber causing friction between the ground and the wheels. This enables the wheels to get the most out of the distance so that the wheels wouldn't slide on the ground rather than move forward. Another form of friction is the friction between the axel and the car itself. The less friction between the two the more the axel can move causing more rotations and more distance. If there were more friction between these two the axel would not rotate fast and the car would take more time to go the 5 meter distance.
Anna and I decided to use four wheels in order to keep the car balanced on all sides. We used four discs as our wheels with small axles so that there would be larger RPM. Since the axel was small and there were more rotations, the outer rim of the disc would have to go farther in order to keep up with the rotational velocity of the center of the disc. We also made most of the mass (tape) near the center of the axis of rotation on the wheel so that the wheels would turn faster. If the mass were on the rim, it would slow the car down because the mass is spread out.
The tangential speed is the distance over time which our car moved. The point of winning this project was to have the greatest tangential speed. Our tangential speed was 1.538m/s.
The Conservation of Energy states that energy cannot be created or destroyed; it may be transferred from one form to another, but the total amount of energy never changes. The potential energy, or the energy stored and held in readiness, in the car is found when the lever arm is set back and held with the spring the car and lever arm is not moving but there is energy ready to be used. As soon as the lever arm is let go and begins to move the kinetic energy in the lever arm increases until it reaches the end of its path and stops. The kinetic energy is the energy due to the position of the lever arm. When the car trap is set off the energy from the trap is transferred to the wheels to make the car move. The energy from the wheels is transferred to the ground. Some energy may be transferred into heat from the friction.
The lever arm was a very important part of the car. It allowed us to use more string and increase the amount of distance traveled by increasing the number of rotations of the axle. However it decreased the amount of force, thus decreasing the speed and amount of power created by the car.
The original design of the car had smaller wheels in the front, was lower to the ground, and used many different kinds of materials. Originally the front wheels were bobbins and the back wheels were discs while the axles were needles. After about 28 hours of full on experimenting, glue, testing, remodeling... twice, and crying we finally start from scratch and finished! The original wheels were too small in the front which caused us to make the front wheels even and the clips holding the axles were not strong enough which caused us to change them to hooks. Also, the glue holding the wheels added too much friction to the axle slowing down the car, so we used rolled up tape to secure the discs to the axles. Anna and I constantly changed the lever arm, but in the end we stayed with our original plan of the plastic hanger stick.
We cannot calculate the exact amount of work because the force on car is not parallel to the distance it moves. Also, since the velocity was not constant so we could not find the amount of kinetic and potential energy from the car. We cannot find the force the spring exerted to accelerate the car because you cannot calculate the work. In order to find the force you have to know the amount of work done.
If I were to do this again I would use slightly smaller wheels in the front instead of a drastic size difference or no difference at all. I would also find smaller axles and find a way to use less lever arm so to increase the force and RPMs of the car. This is a video of our car: