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Impulse-Momentum Theorem of a Bullet

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A gun fires a bullet of mass 17 grams out of a barrel 24 cm long. The bullet is accelerated down the length of the barrel with an average force of 16 Newtons.

Using the Impulse-Momentum Theorem, determine the velocity with which the bullet exits the barrel.

What average force is exerted by the individual holding the gun?

The individual firing the gun has mass 63 kg and is standing on a nearly frictionless skateboard, initially at rest. With what velocity will the individual be moving immediately after firing the gun?

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Solution Preview

A gun fires a bullet of mass 17 grams out of a barrel 24 cm long.   The bullet is accelerated down the length of the barrel with an average force of 16 N.  

a) Using the Impulse-Momentum Theorem, determine the velocity with which the bullet exits the barrel.

b) What average force is exerted by the individual holding the gun?

c) The individual firing the gun has mass 63 kg and is standing on a nearly frictionless skateboard, initially at rest.  With what velocity will the individual be moving immediately after firing the gun?

Solution: a) As per impulse-momentum theorem, impulse applied on a body is equal to change in its momentum.

FΔt = Δ(mv) = ...

Solution Summary

This solution provides a step-by-step explanation of the given velocity problems.

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