If the linear momentum is increased by $5\%$, the kinetic energy will increase by.......$\%$

When kinetic energy of a body becomes $36$ times of its original value, the percentage increase in the momentum of the body will be :

The same retarding force is applied to stop a train. The train stops after $80 m$. If the speed is doubled, then the distance will be

The machine as shown has $2$ rods of length $1\, m$ connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor  in a slot As the roller goes back and forth, a $2\, kg$ weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a

Three bodies $A, B$ and $C$ have equal kinetic energies and their masses are $400 \mathrm{~g}, 1.2 \mathrm{~kg}$ and $1.6 \mathrm{~kg}$ respectively. The ratio of their linear momenta is :

A $50\,kg$ man with $20\,kg$ load on his head climbs up $20$ steps of $0.25\,m$ height each. The work done in climbing is......$J$