Consider the situation as shown in the figure | vedclass

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

Question

(B) Let the velocity of the wall be $v_w = 20 \ m/s$ (to the right,positive direction).The velocity of the ball before collision is $u = -10 \ m/s$ (t

Vedclass · Accepted Answer

$600$

Vedclass · Answer

(B) Let the velocity of the wall be $v_w = 20 \ m/s$ (to the right,positive direction).The velocity of the ball before collision is $u = -10 \ m/s$ (to the left,negative direction).The mass of the ball is $m = 500 \ g = 0.5 \ kg$.In an elastic collision with a massive wall moving with velocity $v_w$,the velocity of the ball after collision $v$ is given by the formula $v = 2v_w - u$.Substituting the values: $v = 2(20) - (-10) = 40 + 10 = 50 \ m/s$.The change in kinetic energy of the ball is $\Delta KE = KE_f - KE_i = \frac{1}{2} m v^2 - \frac{1}{2} m u^2$.$\Delta KE = \frac{1}{2} 	imes 0.5 	imes (50^2 - (-10)^2) = 0.25 	imes (2500 - 100) = 0.25 	imes 2400 = 600 \ J$.

Similar Questions

When two particles collide elastically,then impulsive force can't change

$A$ body of mass $m$ having an initial velocity $v$,makes a head-on collision with a stationary body of mass $M$. After the collision,the body of mass $m$ comes to rest and only the body having mass $M$ moves. This will happen only when:

$A$ body $A$ of mass $4m$ moving with speed $u$ collides with another body $B$ of mass $2m$,which is at rest. The collision is head-on and elastic in nature. After the collision,the fraction of energy lost by the colliding body $A$ is

$A$ sphere of mass $m$,moving with velocity $3u$,collides head-on with another identical sphere at rest. If $e$ is the coefficient of restitution,what will be the ratio of the velocity of the second sphere to that of the first sphere after the collision?

Two masses $m_{a}$ and $m_{b}$ moving with velocities $v_{a}$ and $v_{b}$ in opposite directions collide elastically. After the collision,$m_{a}$ and $m_{b}$ move with velocities $v_{b}$ and $v_{a}$ respectively. The ratio $m_{a} : m_{b}$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module