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A block of mass 4 kg slides on a horizon...

A block of mass `4 kg` slides on a horizontal frictionless surface with a speed of `2m//s`. It is brought to rest in compressing a spring in its path. If the force constant of the spring is `400 N//m`, by how much the spring will be compressed

A

`2 xx 10^(-2)m`

B

`0.2 m`

C

`20m`

D

`200 m`

Text Solution

Verified by Experts

The correct Answer is:
B
`K.E.` of block is converted into elastic `P.E.` in spring i.e., `(1)/(2) mv^(2) = (1)/(2)k x^(2)`
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