To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical mass isdropped 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. a. How much kinetic energy does the cylinder have at the instant just before it contacts the mat? b. What average vertical force does the mat exert on the cylinder during the impact, from contact until the cylinder’s vertical velocity is zero?

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Chapter1: Units, Trigonometry. And Vectors
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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical mass isdropped 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.

a. How much kinetic energy does the cylinder have at the instant just before it contacts the mat?

b. What average vertical force does the mat exert on the cylinder during the impact, from contact until the cylinder’s vertical velocity is zero?

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