A body of mass 0.1 g moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is

Options

A. 0.01 m
B. 0.1m
C. 0.2 m
D. 0.5 m

Answer

B

Explanation

`(1)/(2)mv^(2)=(1)/(2)kx^(2)rArr x = v sqrt((m)/(k))=10 sqrt((0.1)/(1000))=0.1m`