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## Homework Statement

How high above the surface of the Earth must a mass be located so its gravitational potential energy is only 17.00% of its value on the surface?

## Homework Equations

PEg=(-GMm)/r, PElocal= mgy where y is height the object can fall

## The Attempt at a Solution

I've tried a couple of different things but all my variables cancel out.

(-GMm)/r1=0.17((-GMm)/r2

r1/0.17=r2 If I randomly set r1 to be 1 r2= 5.88235 but that doesn't make sense because if you raise an object by 5m it would have a greater PEg

Any suggestions on where to go?

Thanks!!