Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202330 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
30 January
Shift
Evening Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2023 · 30 January · Evening Shift · Physics · Center of Mass, Momentum and Collision

A machine gun of mass 10kg fires 20g bullets at the rate of 180...

A machine gun of mass 10kg10kg fires 20g20g bullets at the rate of 180180 bullets per minute with a speed of 100ms–1100m{s}^{– 1} each. The recoil velocity of the gun is :

Options

  1. A0.02ms−10 . 02m{s}^{- 1}
  2. B2.5ms−12 . 5m{s}^{- 1}
  3. C1.5ms−11 . 5m{s}^{- 1}
  4. D0.6ms−10 . 6m{s}^{- 1}

Correct answer

D. 0.6ms−10 . 6m{s}^{- 1}

Step-by-step solution

Number of bullets fired per second 18060=3\dfrac{180}{60} = 3.

Applying momentum conservation, we get

3[(20×10−3)×100]=10v3\left[\left(20 \times {10}^{- 3}\right) \times 100\right] = 10v

⇒v=0.6ms−1⇒ v = 0 . 6m{s}^{- 1}

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

Two identical bodies A and B of equal masses have initial velocities v_1 = 4 i m/s and… JEE Main 2026The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect… JEE Main 2026Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which… JEE Main 2026The position of an object having mass 0.1 kg as a function of time t is given as r =… JEE Main 2026A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses… JEE Main 2026In a perfectly inelastic collision, two spheres made of the same material with masses 15… JEE Main 2026Given below are two statements : Statement I : For a mechanical system of many particles… JEE Main 2026In a scattering experiment, a particle of mass 2 m collides with another particle of mass… JEE Advanced 2025 Full Center of Mass, Momentum and Collision list All JEE Main PYQs