Concept explainers
At what distance from the Earth will a spacecraft traveling directly from the Earth to the Moon experience zero net force because the Earth and Moon pull in opposite directions with equal force?
The distance from the Earth where a spacecraft traveling directly from Earth to the Moon experience zero net force.
Answer to Problem 30P
Solution:
Explanation of Solution
Given:
The Earth and Moon pull in opposite directions with equal forces.
Formula Used: F (gravitational force)
Where,
r : the distance between
G : Universal gravitational constant.
Calculations: Let the zero point be
Using a 1 kg test mass at this point,
Considering the gravitational forces,
Mass of Earth:
Mass of Moon:
This means, the distance of the point is
So,
Conclusion:
The distance from the Earth where a spacecraft traveling directly from Earth to the Moon experience zero net force is
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