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 $...........J$.

Two masses of $1 \,gm$ and $4 \,gm$ are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

Two carts of masses $200\, kg$ and $300 \,kg$ on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the $200 \,kg$ cart travels a distance of $36 \,m$ and stops, then the distance travelled by the cart weighing $300 \,kg$ is ........ $m$

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

Two bodies are having kinetic energies in the ratio $16: 9$. If they have same linear momentum, the ratio of their masses respectively is

A block moving horizontally on a smooth surface with a speed of $40\, {m} / {s}$ splits into two parts with masses in the ratio of $1: 2$. If the smaller part moves at $60\, {m} / {s}$ in the same direction, then the fractional change in kinetic energy is :-