EXPT 1: Work Done by a non-constant spring force
We are going to measure work done when a spring is stretched at a measured distance. Our set up is a cart on a track when a force probe attached to a spring onto the cart. A motion detector will be on the other side of the track.
For the cart being pulled by a horizontal force along a horizontal surface toward the motion detector. A constant and non-constant force graph of F vs. x will have work defined under the curve. This method of using an area under a curve will always give us the correct value for work, even when the forces vary with the displacements. This idea of using the area under a curve to find the amount of work by forces that vary with displacements works even when the graphs do not form a specific geometric shape.
To obtain the spring constant a measurement of the stretch part of the spring is needed. Then you take the instantaneous moment of force and the stretched spring. That force divided by the stretched spring should give the value of the spring constant.
EXPT 2: Kinetic Energy and the Work-Kinetic Energy Principle
The same apparatus is used for this experiment but instead of pulling the cart to the motion detector. The cart will start at a stretched length and let go while the sensors record the data.
We plotted force and kinetic energy vs. position. Three different spots were highlighted to see that the force vs. position graph is to equal kinetic energy.
For work-energy principle the change in the kinetic energy of an object is equal to the net work done on the object.
EXPT 3: Work-KE theorem
A movie was shown where we used the experiment from it and plotted their Force vs. Position graph.
We then found the work done under the curve by splitting each section under the curve.
Total work was 25.67 N m
In the video an object with mass 4.3 kg was clocked at 45 ms at a distance given 15 cm.
We used this data to found the velocity the object was traveling.
Velocity was 3.33 m/s.
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