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A body of mass 5 kg moving with a speed ...

A body of mass 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 = 5 N/m. The maximum compression of the spring would be

A

0.5 m

B

0.15 m

C

1.5 m

D

0.12 m

Text Solution

Verified by Experts

The correct Answer is:
C
At maximum compression the whole kinetic energy of ball = potential energy of spring.
`(1)/(2)mv^(2)=(1)/(2)kx^(2) rArr x = vsqrt((m)/(k))`
`x=1.5xxsqrt((5)/(5))=1.5`
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