(C) Initial kinetic energy of ball $A$ is $K = p^2 / (2m)$,so $p = \sqrt{2mK}$.Initial velocity of ball $A$ is $u_1 = p/m = \sqrt{2K/m}$.After collisi

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(C) Initial kinetic energy of ball $A$ is $K = p^2 / (2m)$,so $p = \sqrt{2mK}$.Initial velocity of ball $A$ is $u_1 = p/m = \sqrt{2K/m}$.After collision,ball $A$ moves in the negative $x$-direction with kinetic energy $K' = K/9$.Let $v_1$ be the final velocity of ball $A$. Then $\frac{1}{2}mv_1^2 = K/9$,which gives $v_1 = \sqrt{2K/(9m)} = \frac{1}{3}\sqrt{2K/m} = u_1/3 = p/(3m)$.Since the collision is one-dimensional,we apply the law of conservation of linear momentum:$p_{initial} = p_{final}$$p = -mv_1 + p_B$$p_B = p + mv_1$Substituting $v_1 = p/(3m)$:$p_B = p + m(p/(3m)) = p + p/3 = 4p/3$.

Class 11 Physics Work, Energy, Power and Collision Elastic Collision

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$A$ ball $A$ of mass $m$ moving along the positive $x$-direction with kinetic energy $K$ and momentum $p$ undergoes an elastic head-on collision with a stationary ball $B$ of mass $M$. After the collision,the ball $A$ moves along the negative $x$-direction with kinetic energy $K/9$. The final momentum of $B$ is:

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A
$p$
B
$p/3$
C
$4p/3$
D
$4p$

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There is a head-on elastic collision between two particles moving in the same direction with speeds $5 \,m/s$ and $3 \,m/s$ respectively. After the collision,the velocity of the first particle becomes $4 \,m/s$ in the same direction. What is the velocity of the second particle?

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$STATEMENT-1$: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Because
$STATEMENT-2$: In an elastic collision, the linear momentum of the system is conserved.

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There is a head-on elastic collision between two particles moving in the same direction with speeds $5 \,m/s$ and $3 \,m/s$ respectively. After the collision,the velocity of the first particle becomes $4 \,m/s$ in the same direction. What is the velocity of the second particle?

$A$ ball hits the floor and rebounds. For this elastic collision case,which of the following is true?

In the figure,determine the type of collision. The masses of the blocks,and the velocities before and after the collision are given. The collision is

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$STATEMENT-1$: In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Because
$STATEMENT-2$: In an elastic collision, the linear momentum of the system is conserved.