A man fires a bullet of mass 20 g at a speed of 100 m/s. The gun is of 2 kg mass. By what velocity the gun rebounds backward?

Question

A man fires a bullet of mass 20 g at a speed of 100 m/s. The gun is of 2 kg mass. By what velocity the gun rebounds backward? (A) 2 m/s (B) 1 m/s (C) 5 m/s (D) 6 m/s

Tardigrade Admin · Accepted Answer

Linear momentum will remain conserved m g v g = m b v b v g =( m b v b / m g ) =(20 × 10-3 × 100/2)=1 m / s

Q. A man fires a bullet of mass $20 g$ at a speed of $100 m / s$ . The gun is of $2 k g$ mass. By what velocity the gun rebounds backward?

2 m/s

1 m/s

5 m/s

6 m/s

Linear momentum will remain conserved
$m_{g} v_{g} = m_{b} v_{b}$
$v_{g} = \frac{m _{b} v _{b}}{m _{g}}$
$= \frac{20 \times 1 0 ^{- 3} \times 100}{2} = 1 m / s$

Q. A man fires a bullet of mass 20g at a speed of 100m/s. The gun is of 2kg mass. By what velocity the gun rebounds backward?