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## Homework Statement

The magnitude of the gravitational force exerted by the Earth on an object of mass m at the Earth's surface is

Fg = G*M*m/ R^2

where M and R are the mass and radius of the Earth.

Let's say the object is instead a height y << R above the surface of the Earth. Using a Taylor series or binomial expansion, find a polynomial expression in y for the force of gravity acting on this object, correct to first order (i.e., in this case, the lowest "non-trivial" order of the Taylor series).

## Homework Equations

taylor series equation

## The Attempt at a Solution

I set up the equation as Fg=G*M*m/(R+y)^2 centered around y=0

I'm just lost on how to set this up, what is the right equation and point to center around?