Question

Given:
Mass of the earth = 6X10²⁴kg.
Radius of the earth = 6.4 X 10⁶ m
G = 6.7 x 10¹¹Nm²kg^-2
Using this data, calculate the force of gravity due to the earth acting on a 100 kg person stannding on the ground.

Answer 1

We know that law of gravitation.
F = G ( m₁Xm₂)/R².
Mass of earth = 6X10²⁴kg.
Mass of the person = 100 kg.
G = 6.7 X10^-11 Nm²kg^-2.
Radius of earth = 6.4 X 10¹⁴.
F = (6.7 X10^-11X 100 X 6 X10¹⁴ )/ (6.4 X6.4 X10¹²) = 981.4N
Force of gravity due to earth acting on a 100 kg person is 981.4 N.