Figure shows the vertical section of frictionless surface. A block of mass $2\, kg$ is released from the position $A$ ; its $KE$ as it reaches the position $C$ is .............. $\mathrm{J}$

$A$ block of mass $m$ slides down a plane inclined at an angle $\theta$ . Which of the following will $NOT$ increase the energy lost by the block due to friction?

Velocity-time graph for a body of mass $10\, kg$ is shown in figure. Work-done on the body in first two seconds of the motion is  ................ $\mathrm{J}$

Consider a drop of rain water having mass $1\, g$ falling from a height of $1\, km.$ It hits the ground with a speed of $50\, m s^{-1}$. Take $g$ constant with a value $10 \, m s^{-1}$. The work done by the $(i)$ gravitational force and the $(ii)$ resistive force of air is

A bungee jumper is jumping with help of elastic ideal rope (Force constant $K$). Jumper steps off the bridge and falls from the rest towards the river below. He does not hit the water. The mass of jumper is $m$, natural length of rope is $l$. Gravity is $g$, assume every thing ideal. then, choose the incorrect option

The graph between the resistive force $ F$ acting on a body and the distance covered by the body is shown in the figure. The mass of the body is $25\, kg$ and initial velocity is $2\, m/s$. When the distance covered by the body is $4m$, its kinetic energy would be .............. $\mathrm{J}$