Mousetrap Car
In this blog-post I will be explaining the Physics behind my mousetrap car and how the final product came out!1. It took my car 4.65 seconds to go 5m. It ended up in 5th place in my class
2 and 3. Below is a picture of Dylan and I holding our car. I have added labels to the vital and most visible parts of our car.
4. If you want to see our car race in action, watch the video below!!
5. I will now go into more detail about the actual creation of our car and how each step had physics properties involved in it.
Physics Behind the Mousetrap Car
A) Each of Newton's three laws can be applied to the mousetrap car. I will list each one.
NEWTONS 1st LAW : Newton's first law states that "An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an outside force." Therefore, in this case, when we set the mousetrap and let it release, the car will want to continue to move until something else stops it. This 'something else' could be air particles, the frictions between the wheel and the ground, or even the wall (if you car does not go perfectly straight like mine). Although in this experiment, friction is the real and most common enemy.
NEWTONS 2nd LAW : Newton's second law states that "Acceleration is produced when a force acts on a mass." This means that as the mass increases, you will need a greater amount of force to accelerate the object. If you remember, the formula for acceleration is acceleration = force / mass. This means that for every extra piece that we added on to our car, we were going to need a greater force to accelerate it. We tried to avoid having such a large mass by using the knitting needles as the main part of the car instead of a block of wood or something heavy. We knew that by having a light car, we wouldn't need such a strong force to give us an ample acceleration.
NEWTONS 3rd LAW : Newton's third law states that "For every action, there is an equal and opposite re-action". For every action that occurs (lets say you pushing your friend) there is an equal and opposite re-action (meaning theoretically when you push your friend, they are pushing back against you with the exact amount of force that you exerted on them.) A perfect example to explain equal and opposite forces is the example of the horse and buggy. If you do not remember this example, I will quickly explain it again.
Horse and buggy- First of all, there is the force of the horse pulling on the buggy and the buggy pulling back on the horse. This creates an action and reaction pair and the forces and both equal and opposite. Then there is the horse pushing the ground back and the ground pushing the horse forward. This is also an action & reaction pair of equal and opposite forces. The last set of action and reaction pairs is between the buggy pushing the earth forward and the earth pushing the buggy backwards. There is one thing you have to remember about the horse/ground reaction and the buggy/ground reaction. In order for the buggy to be moving (which in this case, let's say that it is), the arrows that you draw between the horse and the ground when making a diagram must be bigger than the set of arrows between the buggy and the ground.
There are multiple action/reaction pairs in my mousetrap car, but the main one that I think is most important to mention is the forces between the wheels and the ground. The wheels push the ground backwards while the ground pushes the car forward.
B) This is the main reason why we need friction between the ground and the wheels of our car. We attempted to create more friction but wrapping the plastic lining of a balloon around each of the wheels. This is one of the ways to increase friction. The other way, which I did not consider until out class discussion, is that you can increase friction by simply increasing the weight of the car. Although, you have to be careful with how much mass you add on to the car because if it becomes too heavy, like I said earlier, you will need a much larger force to accelerate it which may not be able to be achieved when the weight gets to a certain intensity.
C) I think that the size of the wheels on my mousetrap car were a great advantage to me. We used four, standard CD's for our wheels. Like many parts to this project, you had to find the right balance with the size of the wheels. This all ties in with torque, force and lever arm. If you put HUGE wheels on your car (like the size of records) you would have a HUGE torque, but you would need so much more rotational inertia in order to get the wheels to move. Oppositely, if you had very small wheels (like ones taken off of a toy car) you would barely need any rotational inertia to get them to move, but the torque would be super small. You have to find the right balance between all of these challenges. There were a few surprises that I learned from discussing the mousetrap car in class, after we raced them. I learned that the car will always have the same torque regardless of the size of the lever arm. This can be very misleading because we know that when you increase the lever arm, you require a smaller force and when you shorten the level arm, you need a larger force. So, while the lever arm does not affect the torque of the car, it DOES make the distance larger. Just like in previous cases, you have to find a balance between the length of the lever arm and the amount of force used to maintain that constant torque.