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A 66-kg person drops from rest a distance of 1.25 m to a platform of negligible...

A 66-kg person drops from rest a distance of 1.25 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass. The platform drops 9.9 cm before the person comes to rest. What is the spring constant of the spring in N/m?

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Answer #1

Mass of person, m= 66 kg

Height from which it has been dropped, h= 1.25 m

compression of spring, x= 9.9 cm

Let the spring constant of spring be k.

By the law of conservation of energy, potential energy man is equal to potential energy stored in spring due to compression.

so.

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