Q. 36

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Found in: Page 625

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

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# Two spheres are charged equally and placed apart. When released, they begin to accelerate at . What is the magnitude of the charge on each sphere?

is the magnitude of charge in the sphere.

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## Step 1: Introduction

A mathematical object's volume, or size, is a quality that indicates whether it is larger or smaller than other objects of the same kind. The stated result of an arrangement —of the class of objects to something that relates —is an object's magnitude.

## Step 2: Find the magnitude of charge

Along the line that joins their centres, the two spheres simultaneously acted upon by a stress of equal size and opposing direction. Coulomb's law determines the magnitude of this foce.

with denotes each structure's charge and denotes the distance between their centres. Newton's second law states that the total between acceleration and force.

We have

Substitute in

Already we have

And . Incorporating this into the charge expression

.

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