An interplanetary spaceship passes through the point in space where the gravitat

Question

An interplanetary spaceship passes through the point in space where the gravitational forces from the moon and the earth on the ship exactly cancel.

Part a. How far from the center of the earth is it?

moon Orbit Period 27.3 days

An interplanetary spaceship passes through the point in space where the gravitational forces from the moon and the earth on the ship exactly cancel. Part a. How far from the center of the earth is it? moon Mass 6.38 x 10^6m 5.97 x 10^24kg Earth Radius m moon Orbit Period 27.3 days Earth Mass m moon Orbit Radius from earth kg moon Radius

Explanation / Answer

GMeMs/X^2=GMmMs/(R-X)^2

BY SOLVING FOR X:

X=3.79*10^8 m

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