Question

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

$\frac{1}{2}m{v}^2=\frac{1}{2}k{x}^2\Rightarrow x=v\sqrt{\frac{m}{k}}=10\sqrt{\frac{0.1}{1000}}=0.1m$