0

Guest

Courses New

A gun of mass M fires a bullet of mass m horizontally. The energy of firing is such that it is sufficient to project the bullet vertically to a height h. The velocity of recoil of the gun is

A gun of mass M fires a bullet of mass m horizontally. The energy of firing is such that it is sufficient to project the bullet vertically to a height h. The velocity of recoil of the gun is

Grade:12th pass

1 Answers

Khimraj
3007 Points
6 years ago
When a bullet is fired from the gun, the gun also move back in opposite direction to velocity of bullet, that velocity of gun is recoil velocity. let the speed of bullet is v and that of gun is V. then from conservation of linear momentum
MV + mv =0.
So V = -(mv)/M         --(1)
Here negative sign indicates that recoil velocity is in opposite direction that of velocity of bullet.
Also the energy of firing is sufficient to project the bullet vertically to a height h. then from work energy theorem
1/2(mv2) = mgh
So v = (gh)1/2
Then from equation (1) velocity of ecoil of the gun is
V = [m(gh)1/2]/M
Hope it clears. If still  you have doubt you can ask me. If you like answer then please approve it.

Think You Can Provide A Better Answer ?

Other Related Questions on Mechanics

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More