Question

Acceleration due to gravity on the surface of the earth of radius 6.378 into 10 ^ 6 metre is 9.8 m per second square find the mass of the earth assume the value of g

Answer 1

g = GM/R²

where g = acceleration due to gravity

G = Gravitational constant 

M = mass of earth 

R = radius of earth 

g = GM/R²

M = gR²/G 

M = 9.8 x 6.4 x 10^12 / 6.67 x 10 -11

M = 6.018 x 10^24 kg