Assuming earth to be a sphere of a uniform density, what is the value of gravitational acceleration in a mine 100 km below the earth's surface (Given R = 6400km) :

9.66 m/s2 7.64 m/s2 5.06 m/s2 3.10 m/s2

9.66 m/s2

Acceleration due to gravity at depth d : \(g' = g(1 - \frac{d}{R})\) \(g' = 9.8(1 - \frac{1}{64})\) \(g' = g(\frac{63}{64})\) = 9.66 m/s2