A body of mass M moving with velocity v ms^-1 suddenly breaks into two pieces. One part having

Name: Problem 13, Chapter 8: Master Resource Book in JEE Main Physics
Uploaded: 2022-01-29T07:50:35-08:00
Duration: 3 min 32 s
Channel: Rubeena Zulfiqar
Description: A body of mass M moving with velocity v ms^-1 suddenly breaks into two pieces. One part having mass M/4 remains stationary. The velocity of the other part will be (a) v (b) 2 v (c) (3 v)/(4) (d) (4 v)/(3)

step 1 As the given situation of this question is, as there is a buoy that of mass M and moving with ve

Question

A body of mass $M$ moving with velocity $v \mathrm{~ms}^{-1}$ suddenly breaks into two pieces. One part having mass M/4 remains stationary. The velocity of the other part will be (a) $\mathrm{v}$ (b) $2 \mathrm{v}$ (c) $\frac{3 v}{4}$ (d) $\frac{4 \mathrm{v}}{3}$

   A body of mass $M$ moving with velocity $v \mathrm{~ms}^{-1}$ suddenly breaks into two pieces. One part having mass M/4 remains stationary. The velocity of the other part will be
(a) $\mathrm{v}$
(b) $2 \mathrm{v}$
(c) $\frac{3 v}{4}$
(d) $\frac{4 \mathrm{v}}{3}$

Master Resource Book in JEE Main Physics

D. B. Singh 1st Edition

Chapter 8, Problem 13

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Solved by Expert Rubeena Zulfiqar

01/29/2022

Step 1

Step 1: The initial momentum of the body is given by $Mv$. Show more…

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A body of mass $M$ moving with velocity $v \mathrm{~ms}^{-1}$ suddenly breaks into two pieces. One part having mass M/4 remains stationary. The velocity of the other part will be (a) $\mathrm{v}$ (b) $2 \mathrm{v}$ (c) $\frac{3 v}{4}$ (d) $\frac{4 \mathrm{v}}{3}$

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Key Concepts

Conservation of Linear Momentum

This principle states that the total momentum of an isolated system remains constant when no external forces act on it. In the context of collisions or explosions, even though internal forces may cause parts of the system to change their individual momenta, the vector sum of all momenta before the event equals the vector sum after the event. This concept is fundamental in analyzing systems where bodies split or collide, ensuring that momentum is redistributed among the parts while the total remains unchanged.

Isolated Systems

An isolated system is one in which no external forces are acting, allowing internal forces such as those during an explosion or collision to operate without altering the system's total momentum. Recognizing a system as isolated enables the use of conservation laws, like the conservation of linear momentum, making it crucial for solving problems involving the breakup or interaction of bodies.

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