Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Under what circumstances is momentum conserved?

Momentum is conserved only in the absence of net external force (F_net) acting on the system.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1: The statement of the law of conservation of momentum.

The Law of conservation of momentum states that the total momentum of a system always remains constant before and after collisions or we can say that the initial momentum before the collision of a system is equal to the final momentum of the system after the collision

Step 2: Proving that the momentum will conserve only in the absence of net external force.

We have the equation for the momentum of an object of mass m moving with a velocity, v is given by $p = m v$

According to the law of conservation of momentum, $p = a c o n s \tan t$

Or $m v = a c o n s \tan t$

We know that m is a constant, so v must be a constant so that the above equation is valid.

That is $v = a c o n s \tan t$

The velocity of an object is constant only when there is no force acting.

That is when F = 0, $v = a c o n s \tan t$

We have Newton’s second law of motion in terms of momentum given by the equation,

$F_{n e t} = \frac{Δ p}{Δ t}$ ,

where F_netis the net external force acting on the system.

Substitute the value of $F_{n e t} = 0 N$ in the above equation we get,

$\frac{Δ p}{Δ t} = 0$

Or we can say that, $∆ p = 0$ , or there is no change in momentum or momentum is a constant or momentum is conserved.

Hence, momentum will conserve only when there is no net external force acting on the system.

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College Physics (Urone)

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Short Answer

Under what circumstances is momentum conserved?

Step by Step Solution

Step1: The statement of the law of conservation of momentum.

Step 2: Proving that the momentum will conserve only in the absence of net external force.

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College Physics (Urone)

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Short Answer

Under what circumstances is momentum conserved?

Step by Step Solution

Step1: The statement of the law of conservation of momentum.

Step 2: Proving that the momentum will conserve only in the absence of net external force.

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