A solid cylinder of mass `3 kg` is rolling on a horizontal surface with velocity `4 ms^(-1)`. It collides with a horizontal spring of force constant `200 Nm^(-1)`. The maximum compression produced in the spring will be `:`

Options

A. 0.2 m
B. 0.5 m
C. 0.6 m
D. 0.7 m

Answer

C

Explanation

( c) `(1)/(2) xx 3 (4)^2 + (1)/(2) xx ((3 xx R^2))/(2) xx ((4)/(R))^2 =(1)/(2) Kx^2`
`rArr x 0.6 m`.]