Question

A 5 kg rifle fires a 10g bullet at a velocity of 500m/s find the recoil velocity of the rifle?

Answer 1

Answer:

Explanation:

From conservation of momentum

Initial momentum=Final momentum

0=1/100kg*500m/s+5kg*v

-5kgm/s=5kg*v

v=-1m/s

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Answer 2

Answer:

$\bigstar{\bold{Recoil\:velocity\:=\:-1\:m/s}}$

Explanation:

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

• Mass of rifle (m₁) = 5 kg
• Mass of bullet (m₂) = 10 g =0.01 kg
• Velocity of bullet (v₂) = 500m/s

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

• Recoil velocity of rifle (v₁)

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

→ Recoil velocity of rifle is given by the equation

  v₁ = -m₂v₂/m₁

→ Substituting the given datas, we get

  v₁ = -0.01×500/5

  $\boxed{\bold{Recoil\:velocity\:= -1\:m/s}}$

→ Recoil velocity of gun is negative since it is in the direction opposite to that of motion of the bullet.

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

• Remember to convert all the given datas to the SI units before calculating.
• Momentum before collission is equal to the momentum after collission in an isolated system.