A $0.5\, kg$ ball moving with a speed of $12\,m/s$ strikes a hard wall at an angle of $30^o $ with the wall. It is reflected with the same speed at the same angle. If the ball is in contact with the wall for $0.25$ seconds, the average force acting on the wall is  ……….. $N$

A particle of mass m moving with a velocity $u$ makes an elastic one dimensional collision with a stationary particle of mass $m$ establishing a contact with it for extremely small time $T$. Their force of contact increases from zero to $F_0$ linearly in time $\frac{T}{4}$, remains constant for a further time $\frac{T}{2}$ and decreases linearly from  $F_0$  to zero in further time $\frac{T}{4}$ as shown. The magnitude possessed by $F_0$  is

Below figure shows the position-time graph of a body of mass $0.04\; kg$. Suggest a suitable physical context for this motion. What is the time between two consecutive impulses received by the body ? What is the magnitude of each impulse ?

The magnitude of force acting on a particle moving along $x$-axis varies with time $(t)$ as shown in figure. If at $t=0$ the velocity of particle is $v_0$, then its velocity at $t=T_0$ will be

The linear momentum $p$ of a body of mass $5 \,kg$ varies with time $t$ as, $p = 5t^2 + t + 5$ It follows that the body is moving with