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A mass of 0.5 kg moving with a speed of ...

A mass of `0.5 kg` moving with a speed of `1.5 m//s` on a horizontal smooth surface, collides with a nearly weightless spring of force constant `k =50 N//m` The maximum compression of the spring would be.

A

0.12m

B

1.5m

C

0.5m

D

0.15m

Text Solution

Verified by Experts

The correct Answer is:
D
From law of conservation of energy,
`1/2mv^(2) = 1/2 xxkx^(2) rArr (0.5)(1.5)^(2) = 50x^(2)`
`rArr x^(2) = (1.25/50) rArr x = 0.15`
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