A bullet of mass 20 gram is horizontally fired with a velocity 150 metre per second from pistol of mass - Science - Force and Laws of Motion

Question

A bullet of mass 20 gram is horizontally fired with a velocity 150
metre per second from pistol of mass 2 kg what is the recoil
velocity of the pistol

Anshu Agrawal · Accepted Answer

Dear student,
Mass of bullet, m1 = 20g (= 0 02
kg)
Mass of
pistol, m2 = 2
kg
Initial velocity
of the bullet (u1) and pistol (u2) =
0
Final velocity of
the bullet, v1 = +150m
s-1
Let v be the
recoil velocity of the
pistol
The total momentum
of the pistol and bullet is zero before the fire (Since both are at
rest)
Total momentum of
the pistol and bullet after it is fired
is

= (0 02 kg x 150 m
s-1) + (2 kg x v m
s-1)
= (3 + 2v) kg m
s-1
Total momentum
after the fire = Total momentum before the
fire
3 + 2v =
0
→v = -1 5
m/s
Thus, the recoil
velocity of the pistol is 1 5 m/s

Regards

A bullet of mass 20 gram is horizontally fired with a velocity 150 metre per second from pistol of mass 2 kg what is the recoil velocity of the pistol