30 Oct 2021
Problem 20a
Page 238
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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30 Oct 2021
Given information
Note that given,
Newton’s Law of Gravitation says that the magnitude of the force exerted by a body of mass on a body of mass is .
Step-by-step explanation
Step 1.
Know that the equation that models the force is .
Find by using the power rule.
Note that this is the rate at which the gravitational force varies as the distance between the two bodies varies. The negative sign suggests that it weakens as the distance between them grows, something we intuitively understand.