Question

A fieldgun of mass 1.5 t, fires a shell of mass 15 kg with a velocity of 150 m/s. Calculate the velocity of the recoil of the gun.​

Answer 1

Answer:

Mass of shell =1.5kg

Velocity of shell V

1

=159m/s

Recoil velocity =2.5 m/s

mass of gun =M

According to the conservation of momentum,

mv

1

=mv

2

1.5×150=M×2.5

M=

2.5

1.5×159

M=90kg

Answer 2

Answer:

Given:-

Mass of the fieldgun = 1.5 t

Mass of the shell = 15 kg

Velocity of the shell = 150 m/s

To find:-

Velocity of the recoil of the gun.

Solution:-

Momentum of the gun = Mass of the gun × Velocity of recoil of the gun.

= 1500 kg × velocity of recoil of the gun

Now, momentum of the shell = Mass of the shell × Velocity of the shell

= 15 kg × 150 m/s

By the law of conversation of momentum:

Momentum of the gun = Momentum of the shell.

Momentum of the gun = 1500 kg × velocity of recoil of the gun

= 15 kg × 150 m/s

Therefore, velocity of the gun

$= \frac{15 \times 150}{1500}$

= 1.5 m/s.