A gun fires a bullet of mass 40 g with a velocity of 50 m / s. Because of this the gun is push

Name: Problem 483, Chapter 4: JEE Physics
Uploaded: 2021-10-10T10:26:04-08:00
Duration: 2 min 3 s
Channel: Narendra Kumar
Description: A gun fires a bullet of mass 40 g with a velocity of 50 m / s. Because of this the gun is pushed back with a velocity of 1 m / s. The mass of the gun is (A) 1.5 kg (B) 3 kg (C) 2 kg (D) 2.5 kg

step 1 A gun fires a bullet of mass 40 gram with a velocity of 50 meter per second because of this gun

Question

A gun fires a bullet of mass $40 \mathrm{~g}$ with a velocity of $50 \mathrm{~m} / \mathrm{s}$. Because of this the gun is pushed back with a velocity of $1 \mathrm{~m} / \mathrm{s}$. The mass of the gun is (A) $1.5 \mathrm{~kg}$ (B) $3 \mathrm{~kg}$ (C) $2 \mathrm{~kg}$ (D) $2.5 \mathrm{~kg}$

   A gun fires a bullet of mass $40 \mathrm{~g}$ with a velocity of $50 \mathrm{~m} / \mathrm{s}$. Because of this the gun is pushed back with a velocity of $1 \mathrm{~m} / \mathrm{s}$. The mass of the gun is
(A) $1.5 \mathrm{~kg}$
(B) $3 \mathrm{~kg}$
(C) $2 \mathrm{~kg}$
(D) $2.5 \mathrm{~kg}$

JEE Physics

StemEZ 1st Edition

Chapter 4, Problem 483

Instant Answer

Solved by Expert Narendra Kumar

10/10/2021

Step 1

In this case, the gun and the bullet form an isolated system. Before the gun is fired, the total momentum of the system is zero (as both the gun and the bullet are at rest). After the gun is fired, the total momentum of the system should still be zero. Show more…

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A gun fires a bullet of mass $40 \mathrm{~g}$ with a velocity of $50 \mathrm{~m} / \mathrm{s}$. Because of this the gun is pushed back with a velocity of $1 \mathrm{~m} / \mathrm{s}$. The mass of the gun is (A) $1.5 \mathrm{~kg}$ (B) $3 \mathrm{~kg}$ (C) $2 \mathrm{~kg}$ (D) $2.5 \mathrm{~kg}$

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Key Concepts

Conservation of Momentum

This principle states that in the absence of external forces, the total momentum of a closed system remains constant. It is the fundamental idea used to analyze problems where an object explodes or separates into parts, such as a gun firing a bullet, because the forward momentum of the bullet must be balanced by the backward momentum of the gun.

Recoil Effect

The recoil effect is the observable reaction where a firearm moves backward when it discharges a projectile. This backward motion is a direct consequence of the conservation of momentum, showing how the momentum lost by the bullet is gained as recoil momentum by the gun.

Newton's Third Law

Newton's Third Law states that for every action, there is an equal and opposite reaction. In the context of a firing gun, the bullet exerts a force on the gun as it is propelled forward, and the gun experiences an equal and opposite force, resulting in its recoil.

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