Purpose: To explore the conservation and transfer of energy of a vertically-oscillating mass-spring system.
Procedure:
1) We need to identify all the different forms energy will take in this experiment. We know that th hanging mass will have both a kinetic energy and a potential energy. However, the mass itself is not the only thing interacting in this eperiment. The spring itself will also have its own KE and GPE, but because it is a spring it has a third energy form of elastic potential energy. Below are the equations we used for each:
2) We set up a column style apparatus with a force sensor attached to the top of our clamped bars, a spring with a hanging mass attached, and at the bottom we have a motion sensor reading upward. We then calibrated and oriented all the equipment as needed.
3) The only variable we will have to do extra work to find is the spring constant. To do this we slowly stretch the spring downward and plot the force vs distance stretched in logger pro. Once this is complete we simple have logger pro calculate a linear fit to the graph whereas our slope is equal to our spring constant.
4) Now we used our equations to set up calculated columns within logger pro and simply release the system from a sthertched position and have logger pro collect data for each seperate energy.
5) Observing each different energy oscilate we can see how the energy is trasfered from one type to another as they fluxuate in opposite paterns.
6) Our column and graph for the total energy stored in the system was reassuring that the energy is conserved.
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