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Issac Physics Problem that I am stuck with

Calculate the gravitational field due to the Moon, g
M, on the surface of the Earth nearest the Moon. The radius of the Earth is 6.37×10^6 m, the mass of the Moon is Mm =7.38×10^22 kg, and the distance between them is R=3.85×10^8 m.
Question Index: Vectors and Fields - Between a Planet and a Moon 27.3
I keep on getting 2.6855x10^-3 which is very wrong. I don't know how to do the question.
Reply 1
Well it's asking for a gravitational field strength so you want to use g=GM/R^2

M is the mass of the Moon and R is the distance is the distance between the earth and the moon minus the radius of the earth (cos it's usual to give the distances between moons and planets as the distance between the centres of mass - so our calculation of orbital period etc. will work)

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