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JAMB Physics 2018 Paper

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Question : 70

Total: 87

A particle of mass M initially at rest splits into two. If one of the particles of mass M1 moves with velocity V1 , the second particle moves with velocity

$\frac{M1V1}{M-M1}$
$\frac{M1V1}{M1-M}$
$\frac{M1V1}{M}$
$\frac{MV}{M-M1}$

Solution:

Concept:

Momentum is conserved when the particle splits, and the initial momentum is zero.

Explanation:

Let the second particle have mass

M_2 = M - M_1

and velocity

V_2

.

By conservation of momentum:

0 = M_1 V_1 + (M - M_1) V_2

V_2 = -\frac{M_1 V_1}{M - M_1}

So the second particle moves with speed

\frac{M_1 V_1}{M - M_1}

, in the opposite direction.

Answer:

A.

\frac{M_1 V_1}{M - M_1}

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