Physics, asked by xiiaoyi7314, 1 year ago

a gun of mass 3 kg fires a bullet of mass 30g the bullet takes 0.003 s to move through the barrel of gun and acquires a velocity of 100m/s .calculate the velocity with which the gun recoils and the force exerted on gun man due to recoil of the gun

Answers

Answered by pari2710
1
law of conservation of linear momentum.
m1u1+m2u2=m1v1+m2v2
Answered by Anonymous
68

ANSWER :

The velocity with which the gun recoil is \sf - 1 \: m/s^{2}

The force exerted on gun man due to recoil of the gun is 1000 N.

GIVEN :

Mass of gun = 3 kg.

Mass of bullet = 30 g.

Time, t = 0.003 sec.

Velocity, v = 100 m/s.

TO CALCULATE :

The velocity with which the gun recoils.

The force exerted by the gun man due to recoil of the gun.

FORMULA :

\sf Force \: = \: \dfrac {\Delta p}{\Delta t}

SOLUTION :

Net force on gun and bullet, system is zero.

\hookrightarrow \sf 3 \: \times \: v \: (30 \times 10^{-3}) \: \times 100 \: = \: 0

\hookrightarrow \sf 3v \: = \: - (30 \: \times \: 10^{-1}

\therefore \boxed{\sf V \: = \: - 1 \: m/s^{2}}

\bold\green{Force \: = \: \dfrac {\Delta p}{\Delta t}}

\hookrightarrow↪ \sf \dfrac {m(v \: - \: 0)}{0.003}

\hookrightarrow↪ \sf \dfrac {3 \: \times \: 1}{0.003}

\therefore \boxed{\sf F \: = \: 1000 \: N}

hope help u mate ✌

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