A ball of mass 1.0 kg. moving with a veloity of 2 m/s collides directly with a stationary ball of mass 2 kg. If the first ball comes to rest after collision the velocity of the second ball after impact will be

0 m/s

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0.5 m/s

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1.0 m/s

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1.5 m/s

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Solution

The correct option is C 1.0 m/s
$m_{1} = 1 k g,$ $u_{1} = 2 m / s e c$

$m_{2} = 2 k g$ , $u_{2} = 0 k g$

$V_{1} = 0$ , $V_{2} = ?$

$m_{1} u_{1} + m_{2} u_{2} = m_{1} v_{1} + m_{2} v_{2}$

$1 \times 2 + 2 \times 0 = 1 \times 0 + 2 \times V_{2}$

$∴ V_{2} = \frac{2}{2} = 1 m / s e c$

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