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 .............. $\mathrm{m}$
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 .............. $\mathrm{m}$
$0.01$
$0.1$
$0.2$
$0.5$
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 .............. $\mathrm{m}$
$\frac{1}{2}m{v^2} = \frac{1}{2}k{x^2}$
==>$x = v\sqrt {\frac{m}{k}} = 10\sqrt {\frac{{0.1}}{{1000}}} = 0.1\,m$
Other Language