Concept explainers
To find: The value of
Answer to Problem 20E
Therefore, the value of
Explanation of Solution
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 find: How fast does the force change when the distance between the bodies
(b)
Answer to Problem 20E
Therefore, when distance between the earth and the object
Explanation of Solution
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
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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