In the figure shown all the surfaces are frictionless, and mass of the block, $m = 1\, kg$. The block and wedge are held initially at rest. Now wedge is given a horizontal acceleration of $10\, m/s^2$ by applying a force on the wedge, so that the block does not slip on the wedge. Then work done by the normal force in ground frame on the block in $\sqrt 3 $ seconds is ......... $J$

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 ........ $m$

Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

A graph between kinetic energy and momentum of a particle is plotted as shown in the figure. The mass of the moving particle is ........ $kg$.

What is the shape of the graph between the speed and kinetic energy of a body

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