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Q. 25 - Excercises And Problems

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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

# A massless spring is attached to a support at one end and has a 2.0 mC charge glued to the other end. A -4.0 mC charge is slowly brought near. The spring has stretched 1.2 cm when the charges are 2.6 cm apart. What is the spring constant of the spring?

The spring constant is

See the step by step solution

## Step 1: Given information

The charge on the spring is 2.0 mC.

The charge of -4.0 mC is slowly brought near to spring.

The spring has stretched 1.2 cm when the charges are 2.6 cm apart.

## Step 2: Explanation

Coulombs law states the the force of attraction or repulsion between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of distance between them.

It can be given as,

Here, is coulombs constant.

Put the values in the above formula as,

Spring constant is the ratio of force applied on the spring to the displacement of the spring. Thus,

Thus, the spring constant of the spring is .