(A) For a head-on elastic collision between two bodies of equal masses $(m_1 = m_2 = m)$,the velocities are exchanged.Let the initial velocities be $u

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(A) For a head-on elastic collision between two bodies of equal masses $(m_1 = m_2 = m)$,the velocities are exchanged.Let the initial velocities be $u_1$ and $u_2$,and the final velocities be $v_1$ and $v_2$.According to the properties of a one-dimensional elastic collision with equal masses,$v_1 = u_2$ and $v_2 = u_1$.Given the final velocities are $v_1 = +3 \, m/s$ and $v_2 = -2 \, m/s$.Therefore,the initial velocities must be $u_1 = v_2 = -2 \, m/s$ and $u_2 = v_1 = +3 \, m/s$.Thus,the original velocities are $-2 \, m/s$ and $+3 \, m/s$.

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

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After a head-on elastic collision between two balls of equal masses,one is observed to have a speed of $3 \, m/s$ along the positive $x$-axis and the other has a speed of $2 \, m/s$ along the negative $x$-axis. The original velocities of the balls are:

A
$-2 \, m/s$ and $+3 \, m/s$
B
$+2 \, m/s$ and $+3 \, m/s$
C
$-3 \, m/s$ and $+2 \, m/s$
D
$+3 \, m/s$ and $-2 \, m/s$

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Work, Energy, Power and Collision

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Elastic Collision

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

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Two masses $m_A$ and $m_B$ moving with velocities $v_A$ and $v_B$ in opposite directions collide elastically. After the collision,the masses $m_A$ and $m_B$ move with velocities $v_B$ and $v_A$ respectively. The ratio $\frac{m_A}{m_B} = $

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$A$ ball of mass $m$ suspended from a rigid support by an inextensible massless string is released from a height $h$ above its lowest point. At its lowest point, it collides elastically with a block of mass $2m$ at rest on a frictionless surface. Neglect the dimensions of the ball and the block. After the collision, the ball rises to a maximum height of

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After a head-on elastic collision between two balls of equal masses,one is observed to have a speed of $3 \, m/s$ along the positive $x$-axis and the other has a speed of $2 \, m/s$ along the negative $x$-axis. The original velocities of the balls are:

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

$A$ billiard ball moving with a speed of $5 \, m/s$ collides with an identical ball originally at rest. If the first ball stops after collision,then the second ball will move forward with a speed of ........... $m/s$.

Two masses $m_A$ and $m_B$ moving with velocities $v_A$ and $v_B$ in opposite directions collide elastically. After the collision,the masses $m_A$ and $m_B$ move with velocities $v_B$ and $v_A$ respectively. The ratio $\frac{m_A}{m_B} = $

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