Work-Kinetic Energy Theorem Lab

Purpose:

For this lab, we are trying to prove the Work-KE theorem which states that the integral of the force with respect to position (work) is equal to the Kinetic Energy at the same point in position.

Experiment:
We place a cart with mass m and connect it to a spring which is then connected to a force sensor. On the opposite end, we have a motion sensor that detects the position of the cart. We set the equilibrium point of the cart as our initial position x=0 and pull the card back a small distance. We then let go of the cart and record the data.

Above is a picture of our cart being pulled 

Above we have the force exerted by the spring in the Purple line. The red shading represents the integration of force which matched our selected points on the graph