If the increase in the kinetic energy of a body is $22\%$, then the increase in the momentum will be ........... $\%$

A force acts on a $2\,kg$ object so that its position is given as a function of time as $x= 3t^2 + 5.$ What is the work done by this force in first $5\,seconds$ ? ................ $\mathrm{J}$

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

$A$ 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?

A body of mass $5\,kg$ rests on a rough horizontal surface of coefficient of friction $0.2.$ The body is pulled through a distance of $10\,m$ by a horizontal force of $25\, N$. The kinetic energy acquired by it is ......... $J$

The potential energy in joules of a particle of mass $1\, kg$ moving in a plane is given by $U = 3x + 4y$, the position coordinates of the point being $x$ and $y$, measured in metres. If the particle is initially at rest at $(6,4)$, then