(D) In a one-dimensional elastic collision between two bodies of equal mass,the velocities of the bodies are interchanged after the collision.Given: I

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(D) In a one-dimensional elastic collision between two bodies of equal mass,the velocities of the bodies are interchanged after the collision.Given: Initial velocity of mass $m_1$ is $u_1 = +3 \, m/s$ and initial velocity of mass $m_2$ is $u_2 = -5 \, m/s$.Since $m_1 = m_2$,after the elastic collision,the final velocity of mass $m_1$ becomes $v_1 = u_2 = -5 \, m/s$ and the final velocity of mass $m_2$ becomes $v_2 = u_1 = +3 \, m/s$.

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

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Two equal masses $m_1$ and $m_2$ moving along the same straight line with velocities $+3 \, m/s$ and $-5 \, m/s$ respectively collide elastically. Their velocities after the collision will be respectively

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A
$+4 \, m/s$ for both
B
$-3 \, m/s$ and $+5 \, m/s$
C
$-4 \, m/s$ and $+4 \, m/s$
D
$-5 \, m/s$ and $+3 \, m/s$

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Work, Energy, Power and Collision

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Elastic Collision

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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.

Easy

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Three blocks are initially placed as shown in the figure. Block $A$ has mass $m$ and initial velocity $v$ to the right. Block $B$ with mass $m$ and block $C$ with mass $4m$ are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of block $A$ is

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$Assertion$ : If collision occurs between two elastic bodies,their kinetic energy decreases during the time of collision.
$Reason$ : During collision,intermolecular space decreases and hence elastic potential energy increases.

EasyAIIMS 2011

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$A$ ball after falling from a height of $10 \ m$ strikes the roof of a lift which is descending with a velocity of $1 \ m/s$. The recoil velocity of the ball will be ............. $m/s$. (Assume elastic collision)

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An alpha-particle of mass $m$ undergoes a $1$-dimensional elastic collision with a nucleus of unknown mass $M$ at rest. It is scattered directly backwards,losing $64\%$ of its initial kinetic energy. The mass of the nucleus is .......... $m$.

DifficultJEE MAIN 2019

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Two equal masses $m_1$ and $m_2$ moving along the same straight line with velocities $+3 \, m/s$ and $-5 \, m/s$ respectively collide elastically. Their velocities after the collision will be respectively

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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.

Three blocks are initially placed as shown in the figure. Block $A$ has mass $m$ and initial velocity $v$ to the right. Block $B$ with mass $m$ and block $C$ with mass $4m$ are both initially at rest. Neglect friction. All collisions are elastic. The final velocity of block $A$ is

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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.

$Assertion$ : If collision occurs between two elastic bodies,their kinetic energy decreases during the time of collision.
$Reason$ : During collision,intermolecular space decreases and hence elastic potential energy increases.