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## Homework Statement

A sensitive gravimeter is carried to the top of Chicago’s Willis (formerly Sears) Tower, where its reading for the acceleration of gravity is 1.36 mm/s^2 lower than at street level.

Find the building's height, h=?

## Homework Equations

## The Attempt at a Solution

I started this problem with this:

g - g' = 0.00136 m/s^2

now find the change in potential energy of gravity:

GMm/(Radius of earth)^2 - GMm/(Radius of earth + h)^2

using this we should be able to simplify but i am not getting too far from here, it is a bit messy and i am not getting too much to cancel out here...why?

can anyone help me out?

please and thank you!