A bullet of mass $5 g$ is fired at a velocity $900 m s^{- 1}$ from a rifle of mass $2.5 k g .$ What is recoil velocity of the rifle?

0.9 m s^{- 1}

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180 m s^{- 1}

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900 m s^{- 1}

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1.8 m s^{- 1}

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Solution

The correct option is C $1.8 m s^{- 1}$
$m_{1} = 2.5 k g$ (mass of rifle )
$m_{2} = 0.005 k g$ (mass of Bullet )
$v_{1} = ?$ velocity of $9$ un
$v_{2} = 900 m / s$ (velocity of bullet)
Accordive to conversation of movement
$m_{1} v_{1} \mp m_{2} v_{2}$
$= 25 v_{1} = 0. 005 \times 9.00$
$∴ v_{1} = 9 / 5 = 1.8 m / s$

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