Concept explainers
Find the change in the force of gravity between two objects when both masses are doubled and the distance between them is also doubled.
Change in the force of gravity.
Answer to Problem 57A
The resulting force of gravity between the planets is unchanged.
Explanation of Solution
Given:
Mass of both planets is doubled.
Distance between the planets is also doubled.
Formula Used:
From Newton’s law of gravitation,
Calculation:
Let the initial force of gravity is,
As, Mass of both planets is doubled.
So,
And distance between the planets is also doubled.
So,
Therefore, the resulting force of gravity between the planets is
It means the force is unchanged.
Conclusion:
Therefore, the resulting force of gravity between the planets is unchanged.
Chapter 13 Solutions
Conceptual Physics: The High School Physics Program
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