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Question

# A 2kg block is dropped from a height of 0.4 m on a spring of force constant K = 1960 Nm−1. The maximum compression of the spring is 0.1 m0.2 m0.3 m0.4 m

A

0.1 m

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B

0.2 m

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C

0.3 m

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D

0.4 m

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Solution

## The correct option isA0.1 m When a block is dropped from a height, its potential energy gets converted into kinetic energy and finally spring get compressed due to this energy.∴ Gravitational potential energy of block = Elastic potential energy of spring⇒mg(h+x)=(½)*k*x2⟹(2)(9.8)(0.4+x)=1/2(1960)(x)2⇒x=0.1m

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