Question

A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun is 50 cm long and mass of gun is 3 kg, then value of impulse supplied to the gun will be

(1) 12 Ns
(2) 6 Ns
(3) 36 Ns
(4) 3 Ns

Answer 1

The value of the impulse supplied to the gun, given that the 10 g bullet eaves the barrel of gun with a velocity of 600 m/s is 6Ns (option 2)

How to calculate the impulse supplied to the gun?

Impulse is defined as the product of force and time.

Impulse = Force × time

However, impulse supplied to an object is considered as the change in the momentum of the object in the opposite direction. Thus,

Impulse = Change in momentum of object

Now, we shall calculate the impulse supplied to the gun. This is shown below:

• Mass of bullet = 10 g / 1000 = 0.01 Kg
• Velocity of bullet = 600 m/s
• Impulse =?

Impulse = Mass of bullet × velocity of bullet

= 0.01 × 600

= 6 Ns

Therefore, the correct answer is option 2