Concept explainers
By what factor does the force of gravity between two planets change when the masses remain the same, but the distance between them is decreased by four?
Factor of changing force of gravity.
Answer to Problem 62A
The resulting force of gravity between the planets is 16 times the original force.
Explanation of Solution
Given:
Mass of both planets remains same.
Distance between the planets is reduced by four times.
Formula Used:
From Newton’s law of gravitation,
Calculation:
Let the initial force of gravity is,
As, mass of both planets remains same.
So,
And distance between the planets is reduced by four times.
So,
Therefore, the resulting force of gravity between the planets is
It means the force is increased.
Conclusion:
Therefore, the resulting force of gravity between the planets is 16 times the original force.
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