Lab: Verify the integral of the force with respect to the distance is equal to kinetic energy of the block

 Lab: Verify the integral of the force with respect to the distance is equal to kinetic energy of the block

Purpose:
Through the motion of the block pulled by the spring to verify the integral of the force with respect to the distance is equal to kinetic energy of the block.

Equipment:
track, block, spring, motion sensor, force sensor.

Experiment:
1. Set up the apparatus as the pictures show.
2. Calibrate the force sensor, and zero it.
3. Stretch the block and the spring to a certain length.
4. Release the block and record the position and force.
5. Add calculated column of Kinetic Energy.
6. Do the integral of the force.
7. Click examine and move the mouse along the Kinetic Energy curve with the same portion of the integral of the force. Record the value of the integral of the force and Kinetic Energy.
8. Change the range of the integral and record the value in two other different place.

Result:

Number one: 
Integral: 0.8197m*N
Kinetic Energy: 0.636J

Number second: 
Integral: 1.203m*N
Kinetic Energy: 1.164J


Number three: 
Integral: 1.556m*N
Kinetic Energy: 1.331J


Conclusion:
 Within a certain error, the integral of the force with respect to the distance is equal to kinetic energy of the block. The work done by the force convert into the Kinetic Energy of the block.