(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

On the way to the moon, the Apollo astronauts reach a point where the Moon's gravitational pull is stronger than that of the Earth's.

Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5.98e24 Kg and 7.36e22 Kg, respectively, and the distance from the Earth to the Moon is 3.84e8 m.

Answer in units of m.

2. Relevant equations

F=G(m1)(m2)/r(squared)

Where F is force of gravity, G is gravitational constant, m1 is mass of one object, and m2 is mass of second object. And r(squared) is the radius from center to center.

F(C)=mv(squared)/r

where F(c) is centripetal force, m is mass of an object (in Kg), v(squared) is the linear speed of an object (in m/s), and r is the radius from the center of the object being orbited around.

g=Gm1/r(squared)

g is acceleration due to gravity, G is gravitational constant,m1 is mass of object causing gravity, and r(squared) is radius from center to center.

V(squared)=Gm1/R

V(squared) is linear speed, G is gravitational constant, m1 is object causing gravity, and r is radius.

3. The attempt at a solution

I tried using the equation g=Gm1/r(squared) for each the earth and the moon, and setting them equal to each other, but that didn't really work out.

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# Homework Help: Gravitational Pull Question

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