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.

Options

A. 0.15 m
B. 0.12 m
C. 1.5 m
D. 0.5 m

Answer

A

Explanation

The kinetic energy of mass is converted into potential energy of a spring
`(1)/(2)mv^(2)=(1)/(2)kx^(2)rArr x = sqrt((mv^(2))/(k))=sqrt((0.5xx(1.5)^(2))/(50))=0.15 m`