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Standard XII

Physics

Momentum

Two balls A a...

Question

Two balls A and B of masses $40 g$ and $50 g$ are moving at speeds of $40 m / s$ and $30 m / s$ respectively. If after colliding, $B$ stars moving with a velocity of $25 m / s$ , what is the velocity of A?

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Solution

Mass of ball A, $m_{1} = 40 g$
Mass of ball B, $m_{2} = 50 g$
Initial velocity of ball A, $u_{1} = 40 m / s$
Initial velocity of ball B, $u_{2} = 30 m / s$
Final velocity of ball A, $v_{1} = ? = v$
Final velocity of ball B, $v_{2} = 25 m / s$
According to the law of conservation of momentum
$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$
$40 \times 40 + 50 \times 30 = 40 \times v + 50 \times 25$
$1600 + 1500 = 40 v + 1250$
$3100 - 1250 = 40 v$
$1850 = 40 v$
$v = \frac{1850}{40}$
$v = 46.45 m / s$
Hence, Final velocity of ball A, $v_{1} = v = 46.25 m / s$

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Two balls A and B of masses 40g and 50g are moving at speeds of 40m/s and 30m/s respectively. If after colliding, B stars moving with a velocity of 25m/s, what is the velocity of A?

Two balls A and B of masses $40 g$ and $50 g$ are moving at speeds of $40 m / s$ and $30 m / s$ respectively. If after colliding, $B$ stars moving with a velocity of $25 m / s$ , what is the velocity of A?