What would be the relation between the velocity of the gun and bullet, if the mass of gun is less than the mass of bullet?

Velocity of gun is higher than the velocity of bullet

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Velocity of bullet is higher than the velocity of gun

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Velocity of gun = velocity of bullet

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None of the above

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Solution

The correct option is A
Velocity of gun is higher than the velocity of bullet

The conservation of momentum can be applied in the case of the firing. If the momentum is constant, then mass is inversely related to the velocity.

$p = m \times v$

$v = \frac{p}{m}$

In this case, the mass of the bullet is higher than the mass of the gun. Thus, the velocity of the gun is higher than the velocity of the bullet.

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