How deep would a mine shaft have to be for the gravitational acceleration at the bottom to be reduced by a factor of 5 from its value on the Earth's surface?
G = 6.67 * 10-11
ME = 5.97 * 1024 kg
RE = 6.38 * 106 m
The Attempt at a Solution
I set g/5 equal to the equation g=r(GME/RE3). I got it wrong. I also tried dividing the result by 5, and it still didn't work. What else am I supposed to do?