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Q.58

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 230

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Short Answer

A spring of equilibrium length and spring constant hangs from the ceiling. Mass is suspended from its lower end. Then a second spring, with equilibrium length and spring constant , is hung from the bottom of . Mass is suspended from this second spring. How far is below the ceiling?

The distance between ceiling and lower attached mass is

See the step by step solution

Step by Step Solution

Step 1: Content Introduction

The spring force is calculated as

Here, is the spring force, is the spring constant and is the change in the length of spring.

Looking at the following diagram,

The stretch in the upper spring is calculated as

The stretch in the lower spring is calculated as

Step 2: Content Explanation

The total length is calculated as follows:

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