An object of mass $10 \,kg$ is projected from ground with speed $40 \,m / s$ at an angle $60^{\circ}$ with horizontal. The rate of change of momentum of object one second after projection in SI unit is ........ [Take $g=9.8 \,m / s ^2$ ]

A body of mass $m$ is projected at an angle of ${45^o}$ with the horizontal. If air resistance is negligible, then total change in momentum when it strikes the ground is

A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass $m =0.4 kg$ is at rest on this surface. An impulse of $1.0 N s$ is applied to the block at time $t =0$ so that it starts moving along the $x$-axis with a velocity $v ( t )= v _0^{ e ^{-1 / \tau}}$, where $v_0$ is a constant and $\tau=4 s$. The displacement of the block, in metres, at $t=\tau$ is. . . . . . . Take $e ^{-1}=0.37$

In the figure given below, the position-time graph of a particle of mass $0.1 \,Kg$ is shown. The impulse at $t = 2\sec $ is .......... $kg\,m\,{\sec ^{ - 1}}$

When a horse pulls a wagon, the force that causes the horse to move forward is the force

A particle of mass $2\, kg$ is initially at rest. A force acts on it whose magnitude changes  with time. The force time graph is shown below. The velocity of the particle after $10\, s$ is ......... $ms^{-1}$