The graph between $\sqrt E $and $\frac{1}{p}$ is ($E$=kinetic energy and $p = $ momentum)

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 ......... $J$

For the pulley system the kinetic energy of the $6\,kg$ block after $5\,s$ is ............ $\mathrm{J}$

A ball is thrown up with a certain velocity at an angle $\theta$ to the horizontal. The kinetic energy $KE$ of the ball varies with horizontal displacement $x$ as

A particle of mass $'m'$ and charge $'q'$ is accelerated through a potential difference of $'V'$ volt. Its energy is

If the kinetic energy of a body is directly proportional to time $t,$ the magnitude of force acting on the body is

$(i)$ directly proportional to $\sqrt t$
$(ii)$  inversely proportional to  $\sqrt t$
$(iii)$ directly proportional to the speed of the body
$(iv)$ inversely proportional to the speed of body