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=?
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!