A body of mass m kg collides elastically with another body at rest and then continues to move in the original direction with one half of its original speed. The mass of the target body is

Question

A body of mass m kg collides elastically with another body at rest and then continues to move in the original direction with one half of its original speed. The mass of the target body is, m kg, 2 3 m kg, m 3 kg, m 2 kg

MARKS App · Accepted Answer

Velocity of the colliding body after elastic collision is, v 1 = u 1 + 2 m 2 m 1 + m 2 u 2 - u 1 u 1 2 = u 1 + 2 m 2 m + m 2 0 - u 1 m 2 m + m 2 = 1 4 m 2 = m 3 kg

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