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

Options

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

Answer

C

Explanation

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`