Question

A gun of mass 8 kg fires a bullet of mass 40 gram with a velocity of 100 ms-1. Calculate the recoil velocity of gun.​

Answer 1

Answer:

0.5 m/s

Explanation:

M(g) =8kg

M(b) =40gram=0.04kg

v(b)=100 m/s

By conservation of linear momentum

• M(g) * v(g) =M(b) * v(b)
• 8*v(g)=0.04*100
• v(g) =4/8=0.5 m/s

Answer 2

Answer:

mass of the gun mg =8 kg

mass of the bullet mb =0.04 kg

velocity of the bullet vb=100 m/s

recoil velocity of the gun Vg =?

As no external force is acting on the system, the total linear momentum of the system is conserved.

$8 \times v = 0.04 \times 100 \\ v = \frac{4}{8} = 0.5 \: \frac{m}{s}$