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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1, Problem 131RE

a.

To determine

**To calculate:**For the given equation which depicts Hooke’s law for a given spring, given by

Expert Solution

In the equation

**Given information:**

Hooke’s law equation for a given spring, given by

**Formula used:**

Hooke’s Law precisely states that force required for a given spring to keep it stretched

It can be represented as the following equation:

Where

Slope-intercept equation for a given line which has slope as

Slope m of the line passing through two points in general say

Point-slope equation for a given line passing along point

**Calculation:**

Consider theHooke’s law equation for a given spring, given by

Recall that Hooke’s Law precisely states that force required for a given spring to keep it stretched

It can be represented as the following equation:

Where

Therefore, the equation

Now recall, Slope-intercept equation for a given line which has slope as

Therefore, comparing this with

Slope

And

The slope

And, the

**b.**

To determine

**To calculate:**For the given equation which depicts Hooke’s law for a given spring, given by

Expert Solution

The length of the spring when

**Given information:**

Hooke’s law equation for a given spring, given by

**Formula used:**

Hooke’s Law precisely states that force required for a given spring to keep it stretched

It can be represented as the following equation:

Where

Slope-intercept equation for a given line which has slope as

Slope m of the line passing through two points in general say

Point-slope equation for a given line passing along point

**Calculation:**

Consider the Hooke’s law equation for a given spring, given by

Recall that Hooke’s Law precisely states that force required for a given spring to keep it stretched

It can be represented as the following equation:

Therefore, the equation

Now recall, Slope-intercept equation for a given line which has slope as

Therefore, comparing this with

Slope

And

Let

Therefore,

Put

Hence, the length of the spring when