Question

a body of mass 0.1 kg moving with a velocity of 10 m/s hits 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:

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

Answer 1

The correct option is B 0.1 m

Given that,

Mass $m=0.1kg$

Velocity $v=10m/s$

Force constant $k=1000N/m$

Now, by using the formula

$\frac{1}{2}m{v}^2=\frac{1}{2}k{x}^2$

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

$x^2=0.01$

$x=0.1m$

Hence, the compression of the spring is $0.1m$