Question

from a rifle of mass 4 kg A bullet of mass 50 gram is fired with an initial velocity of 35 M per second calculate the initial recoil velocity of the rifle

Answer 1

mass of gun = 4kg

mass of bullet = 50gm

(1000g = 1kg) 50gm= 0.05kg

initial velocity = 35 m/s

momentum of bullet = momentum of gun

mass of × velocity = mass of × recoil velocity

bullet of bullet gun of gun

0.05× 35 = 4 × R (R= recoil velocity of gun)

1.75 = 4 ×R

1.75÷ 4 = R

0.43 m/s = R ans..

Answer 2

$\underline{ \underline{ \bf{Answer}}} : - \\ \implies \: \bf{recoil \: velocity \: = 0.44 \: \frac{m}{s} } \\ \\ \underline{\underline{\bf {Step - by - step \: explanation}}} : - \\ \\ \underline{\bf{ To \: find}} - \\ \\ \bf{find \: recoil \: velocity \: of \: rifle} \\ \\ \underline{\bf{Solution}} : - \\ \\ \bf{velocity \: of \: \: bullet \:( v1) = 35 \: \frac{m}{s} } \\ \\ \bf{ mass \: of \: bullet \: (m1) = 50 \: g = 0.050 \: kg} \\ \\ \bf{mass \: of \: rifle \: (m2) = 4 \: kg } \\ \\ \bf{recoil \: velocity \: of \: rifle \: (v2) =? }$

Since,No external force acts on the rifle then the change in momentum is zero.

Momentum of rifle = (momentum of bullet)

$\implies \: \bf{m2 \: v2 = m1 \: v1} \\ \\ \implies \: \bf{4 \times v2 = 0.050 \times 35} \\ \\ \implies \: \bf{v2 = 0.44 \: \frac{m}{s} } \\ \\ \bf{recoil \: velocity \: of \: rifle \: is \: 0.44 \: \frac{m}{s} }$