Question

A gun of mass 500g fires a bullet of mass 10g with a speed of 100m/s find initial momentum of the gun and bullet

Answer 1

Given:

• Mass of Bullet = 10g
• Velocity of Bullet = 100 m/s
• Mass of gun = 500 g (0.5kg)

To Find:

• Momentum of Bullet?
• Velocity of Gun?
• Momentum of Gun?

Solution:

❖Momentum of Bullet;

Mass of bullet is 10g

=> 1kg = 1000 g

=> kg = 10/1000

=> kg = 0.01 kg

$\bigstar{\underline{\boxed{\sf{ Momentum = Mass \times Velocity }}}}$

Where

• p = Momentum
• m = Mass
• v = Velocity

➙ p = m × v

➙ p = 0.01 × 100

➙ p = 1 kg.m/s

• Momentum of bullet is 1kg.m/s.

$\bigstar{\underline{\underline{\boxed{\sf{ \green{Momentum_{(Bullet)} } = \blue{Momentum_{(Gun)} } }}}}}$

After substituting values,

➙ Momentum (bullet) = Momentum (Gun)

➙ m × v = m × v

➙ 0.01 × 100 = 0.5 × v

➙ 1/0.5 = v

➙ v = 2 m/s

• Velocity of Gun is 2 m/s.

❖Momentum of Gun;

$\bigstar{\underline{\boxed{\sf{ Momentum = Mass \times Velocity }}}}$

➙ p = m × v

➙ p = 0.5 × 2

➙ p = 1 kg.m/s

Hence,

• The Momentum of gun is 1 kg.m/s.

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