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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.8, Problem 20E

To determine

**To find:** The value of

Expert Solution

Therefore, the value of

**Given:**

The equation for magnitude

Rewrite the equation as below.

**Calculation:**

Calculate the value of rate of change of force

Differentiate the equation (1) as below.

The expression

The minus sign before the

Therefore, the value of

(b)

To determine

**To find:** How fast does the force change when the distance between the bodies

Expert Solution

Therefore, when distance between the earth and the object

**Given:**

The equation for magnitude

Rewrite the equation as below.

**Calculation:**

Calculate how fast the force change

The force exerted by the earth on the object decreases at the rate of

Use the first derivative of force equation.

Substitute

Therefore, when distance between the earth and the object