Question

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

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

Answer 1

The correct option is B $0.1m$

Given$-$

$m=0.1kg$

$v=10m/s$

$k=1000N/m$

As moving object strikes on the spring, the kinetic energy of object is used in compressing the spring$.$

Kinetic energy of object $=$ Work done in compression

$1/2m{v}^2=1/2k{x}^2$

$x^2=m{v}^2/k$

$x^2=0.1\times {10}^2/1000$

$x^2={10}^{-2}$

$x=0.1m$

Compression produced in the spring is $0.1m.$

Hence,

option $\left(B\right)$ is correct answer.