Asked by danny

Imagine a spaceship on its way to the moon from the earth. Find the point, as measured from the center of the earth, where the force of gravity due to the earth is balanced exactly by the gravity of the moon. This point lies on a line between the centers of the earth and the moon. The distance between the earth and the moon is 3.85×108 m, and the mass of the earth is 81.4 times as great as that of the moon.
Answered by danny
help anyone
Answered by tenzin
hey are you from city college
Answered by Dave
Use newton's law of gravitation
F=G*(m1m2/r^2)
we get:
G*(81.4 m1*m2)/r^2 = G*(m1*m2)/(3.85x10^8-r)^2

you can then cancel the G, m1, m2 and get
81.4/r^2=1/(3.85x10^8-r)^2

take sqrt:
sqrt(81.4)(3.85x10^8-r)= r

solve for r
r=346,585,261m

..... and yes Tenzin hes from CCNY lol
Answered by nope.
Hey, hedberg! I have him right now for Spring 2016...save me.
Answered by nope.
i mean hes a wonderful teacher. He just goes crazy hard on tests and quizzes. gonna fail lmfao
Answered by Anonymous
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