Work and Kinetic Energy

The lab we just did today is finding the relationship between work ad kinetic energy.
First of all, we need to set up a modal to find the equation for kinetic energy.

As the pictures show above, we connected a car and the force sensor that is on one side of track with spring and set the motion sensor on the other side, so we were able to measure velocity of car and force that applied on the car. And then, we put a wooden block on the track and put the spring on the block in order to reduce the friction from track to spring. 

For studying the work and kinetic energy, we need to know how much work the car had done.

we created a graph that represent the force and car's position.

Therefore, the area below line is work the car had done.

Now, we also need to create a line that describes kinetic energy:

As what we can see, the work line and kinetic energy line is almost overlapping together. Thus, the relationship is work=kinetic energy.