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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.11, Problem 29E

**(a)**

To determine

**To express**: Hooke’s law for spring as equation.

Expert Solution

Hooke’s law for spring is

Hooke’s law:

The force required to keep the spring stretched beyond the natural length is directly proportional to the extension of spring beyond natural length.

Mathematically,

Here,

Thus, Hooke’s law as an equation is

**(b)**

To determine

**To find:** The spring constant

Expert Solution

The value of spring constant is

**Given:**

Natural length of spring (

Force required to stretch it up to

**Calculation:**

The spring is stretched up to

Use Hooke’s Law,

Substitute, 30 for

Multiply both the sides by

Thus, the value of

**(c)**

To determine

**To find:** The force required to keep the spring stretched to

Expert Solution

The force required is

**Given:**

The stretched length of the spring is

**Calculation:**

The natural length of spring is

Use Hooke’s Law,

Substitute 6 for

Thus, the value of