A vehicle of mass $m$ is moving on a rough horizontal road with momentum $P$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is
$\frac{P}{{2\mu \,m\,g}}$
$\frac{{{P^2}}}{{2\mu \,m\,g}}$
$\frac{P}{{2\mu \,m{\,^2}g}}$
$\frac{{{P^2}}}{{2\mu \,m{\,^2}g}}$
If momentum of a body is increased by $20 \%$, then its kinetic energy increases by$....\%$
Which of the following statements is correct ?
A body of mass $5\,kg$ is moving with a momentum of $10\,kg\,ms ^{-1}$. Now a force of $2\,N$ acts on the body in the direction of its motion for $5\,s$. The increase in the Kinetic energy of the body is $...........J$.
A rifle bullet loses $1/20^{th}$ of its velocity in passing through a wooden plank. The least number of planks required to stop the bullet is :-
A bomb of mass $16\ kg$ at rest explodes into two pieces of masses $4\ kg$ and $12\ kg.$ The velolcity of the $12\ kg$ mass is $4$ $ms^{-1}$. The kinetic energy of the other mass is .............. $\mathrm{J}$