Question

A ball of the mass 20 gram is fired with velocity of hundred metre per second if mass of the gun is 10 kg what will be recoil velocity of gun?

Answer 1

Answer:

$\bigstar{\bold{Recoil\:velocity\:=-0.2\:m/s}}$

Explanation:

$\Large{\underline{\underline{\bf{Given:}}}}$

• Mass of bullet (m₂) = 20 g = 0.02 kg
• Mass of gun (m₁) = 10 kg
• Velocity of bullet (v₂) = 100 m/s

$\Large{\underline{\underline{\bf{To\:Find:}}}}$

• Recoil velocity of gun (v₁)

$\Large{\underline{\underline{\bf{Solution:}}}}$

→ Recoil velocity of a gun is given by the formula

  v₁ = -m₂v₂/m₁

→ Substituting the given datas we get

  v₁ = -(0.02 × 100)/10

  v₁ = -0.2 m/s

$\boxed{\bold{Recoil\:velocity\:=-0.2\:m/s}}$

Here recoil velocity is negative since the direction of the bullet is opposite to that of the gun.

$\Large{\underline{\underline{\bf{Notes:}}}}$

→ Momentum is always conserved in an isolated system. That is the momentum before collissio is equal to the momentum after collission.