To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical...
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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick. How much work does the mat do to stop the fall of the cylinder?
Homework Answers
Potential energy stored at the top will be converted to work done against spring:
So, mg(h +d) = W
So, 20*9.8*(1 + 0.04) = W
So, W = -203.8 J <----- answer
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