In the figure shown,a small ball hits oblique | vedclass

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

Question

(A) The surface is smooth and horizontal,so there is no impulsive force acting in the $x$-direction during the collision. Therefore,the velocity compo

Vedclass · Accepted Answer

$2 \, m/s, 2 \, m/s$

Vedclass · Answer

(A) The surface is smooth and horizontal,so there is no impulsive force acting in the $x$-direction during the collision. Therefore,the velocity component in the $x$-direction remains unchanged.$v_x = u_x = 2 \, m/s$In the $y$-direction (normal to the surface),the coefficient of restitution $e$ is defined as the ratio of the velocity of separation to the velocity of approach.$e = \frac{v_y}{u_y}$Given $e = \frac{1}{2}$ and $u_y = 4 \, m/s$,we have:$v_y = e 	imes u_y = \frac{1}{2} 	imes 4 = 2 \, m/s$Thus,the components just after the collision are $v_x = 2 \, m/s$ and $v_y = 2 \, m/s$.

In the figure shown,a small ball hits obliquely a smooth and horizontal surface with speed $u$ whose $x$ and $y$ components are indicated. If the coefficient of restitution is $\frac{1}{2}$,then its $x$ and $y$ components $v_x$ and $v_y$ just after collision are respectively

Similar Questions

$A$ ball falls from a height $h$ upon a fixed horizontal floor. The coefficient of restitution for the collision between the ball and the floor is $e$. The total distance covered by the ball before coming to rest is [neglect the air resistance].

In an inelastic collision,what is conserved?

$A$ $1 \,kg$ ball moving at $12 \,ms^{-1}$ collides with a $2 \,kg$ ball moving in the opposite direction at $24 \,ms^{-1}$. If the coefficient of restitution is $2/3$, then their velocities after the collision are

$A$ body falls freely onto a hard horizontal surface. If the coefficient of restitution between the surface and the body is $e = 0.8$,then the ratio of the maximum height to which the body rises after the second impact to the initial height of the body is:

Ball $P$ of mass $m$ moving with velocity $v$ collides with another ball $Q$ of mass $2m$,which is at rest. If $v_P$ and $v_Q$ are the final velocities of $P$ and $Q$ respectively after the collision,then (Assume the coefficient of restitution is $e = 1/3$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module