Home Physics Work, Energy, Power and Collision Energy A spherical ball of mass collides head on w…
Physics Work, Energy, Power and Collision Energy MCQ (Single Correct)

A spherical ball of mass collides head on with another ball of mass at read. The collision is elastic. The fraction of kinetic energy lost by is:

A
B
C
D

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The correct answer is:
A

: According to momentum conservation, we get

……(i)

Where is the initial velocity of spherical ball of mass before collision and are the final velocities of the balls of masses and after collision.

According to kinetic energy conservation, we get

…..(ii)

Form Egs. (i) and (ii), it follows that

Or

Substituting this in Eq. (i) we get

The initial kinetic energy of the mass is

The final kinetic energy of the mass is

(Using (iii))

The fraction of kinetic energy lost by is

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