Q.57

Expert-verified
Found in: Page 230

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

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

# Two identical horizontal springs are attached to opposite sides of a box that sits on a frictionless table. The outer ends of the springs are clamped while the springs are at their equilibrium lengths. Then a force applied to the box, parallel to the springs, compresses one spring by while stretching the other by the same amount. What is the spring constant of the springs?

The value of spring constant is .

See the step by step solution

## Step 1: Content Introduction

Hooke's law says the force applied on spring is directly proportional to deformation in the spring.

Here, is force applied on spring, is spring constant, is deformation in the spring.

## Step 2: Content Explanation

As we know two springs are identical therefore, spring constant for both springs is same.

Total deformation in spring is

Use Hooke's law