A moving body collides elastically with another body of...

A moving body collides elastically with another body of equal mass at rest. Then (A) a part of the energy is dissipated as heat. (B) momentum is conserved but $\mathrm{KE}$ is not conserved. (C) both masses start moving with the same velocity. (D) the moving mass transfers whole of its energy to the mass at rest.

A moving body collides elastically with another body of equal mass at rest. Then
(A) a part of the energy is dissipated as heat.
(B) momentum is conserved but $\mathrm{KE}$ is not conserved.
(C) both masses start moving with the same velocity.
(D) the moving mass transfers whole of its energy to the mass at rest.

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Key Concepts

Elastic Collisions Between Equal Masses

In the case of an elastic collision involving equal masses, especially when one mass is initially at rest, the moving mass transfers its kinetic energy entirely to the mass at rest. As a result, the initially moving body comes to rest, and the other body moves away with the velocity the first body originally had.

Conservation of Momentum

In any collision, especially in isolated systems, the total momentum before the collision is equal to the total momentum after the collision. This principle applies irrespective of whether the collision is elastic or inelastic, and it is fundamental in calculating the final velocities of colliding bodies.

Conservation of Kinetic Energy

Kinetic energy is conserved in elastic collisions, meaning that the total kinetic energy of the system remains the same before and after the collision. This distinguishes elastic collisions from inelastic ones, where some kinetic energy is transformed into other forms of energy, such as heat or sound.

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