Question

Calculate g at the bottom of a mine 8km deep and at an altitude 32km above the Earth's surface . Radius of earth is 6.4 ×10^6 and g on Earth's surface is 9.8m/s²

Answer 1

The g at depth 'd' is 9.7877m/s^2 and at altitude 'h' is 9.702m/s^2.

1. To find g at depth d formula is g'=g(1-d/R) where g is acceleration due to gravity on surface ,d is depth or distance below surface and R is the radius of earth.
2. To find g at altitude h formula is g'=g(1-2h/R) where h is height above the surface of earth.