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Please include the graph as well. Given a ball with an unknown mass, a spring wi

ID: 1518541 • Letter: P

Question

Please include the graph as well.

Given a ball with an unknown mass, a spring with spring constant 950 N/m and a meter stick. You develop an experiment by using various compressions of the spring to launch the ball vertically. You use the meter stick to measure the ball's maximum height above the launch point for every compression. Your data is below. Use an appropriate graph of the data to determine the ball's mass. Also, Assume the spring is ideal and obeys Hooke's law. Note, please submit graph and supporting calculations.

Explanation / Answer

1/2kx^2 = mgh

1/2*950*(0.02)^2 = m1*10*32

m1 = 59*10^-5 kg

1/2*950*(0.03)^2 = m2*650

m2 = 65*10^-5kg

m3 = 66*10^-5kg

m4 = 62*10^-5kg

m = m1+m2+m3+m4/4 = (62 + 66 + 65 + 59)*10^-5/4 = 63*10^-5 kg