A rigid ball of mass m strikes a rigid wall a | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The impulse imparted by the wall on the ball is equal to the change in momentum of the ball.Let the initial velocity be $\vec{v}_i$ and the final

Vedclass · Accepted Answer

$mv$

Vedclass · Answer

(C) The impulse imparted by the wall on the ball is equal to the change in momentum of the ball.Let the initial velocity be $\vec{v}_i$ and the final velocity be $\vec{v}_f$.The initial momentum is $\vec{p}_i = m\vec{v}_i$ and the final momentum is $\vec{p}_f = m\vec{v}_f$.Taking the normal to the wall as the $x$-axis,the initial velocity components are $v_{ix} = v \cos 60^\circ$ (towards the wall) and $v_{iy} = v \sin 60^\circ$ (parallel to the wall).The final velocity components are $v_{fx} = -v \cos 60^\circ$ (away from the wall) and $v_{fy} = v \sin 60^\circ$ (parallel to the wall).The change in momentum $\Delta \vec{p} = \vec{p}_f - \vec{p}_i = m(\vec{v}_f - \vec{v}_i)$.$\Delta p_x = m(v_{fx} - v_{ix}) = m(-v \cos 60^\circ - v \cos 60^\circ) = -2mv \cos 60^\circ = -2mv(0.5) = -mv$.$\Delta p_y = m(v_{fy} - v_{iy}) = m(v \sin 60^\circ - v \sin 60^\circ) = 0$.The magnitude of the impulse is $|\Delta \vec{p}| = |-mv| = mv$.

$A$ rigid ball of mass $m$ strikes a rigid wall at $60^\circ$ and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be

Similar Questions

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

$A$ ball of mass $0.5 \ kg$ is dropped from a height of $40 \ m$. The ball hits the ground and rises to a height of $10 \ m$. The impulse imparted to the ball during its collision with the ground is (Take $g = 9.8 \ m/s^2$)

An athlete runs for some distance before taking a long jump. Why?

$A$ machine gun can fire $200$ bullets $\min^{-1}$. If $35 \ g$ bullets are fired at a speed of $750 \ m \ s^{-1}$,the average force exerted by the gun on the bullets is, (in $N$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module