Solution to problems – class 9 – Set 1 Q35
Last updated on June 18th, 2019 at 06:15 am
Problem Statement
What
is the force of gravity on a body of mass 150 kg lying on the surface of the
earth ?
(Mass of earth = 6 × 10^24 kg; Radius of earth = 6.4 × 10^6 m; G = 6.7 ×
10–11 Nm2/kg^2)
Solution
M1 = mass of the body = 150 kg
M2 = mass of the earth = 6 x 1024 kg
Distance between the body and the center of the earth = radius of the earth = r = 6.4 × 106 m
Force of gravity on the body = gravitational force between the body and the earth = F
F = (G M1 M2) / r2 = (6.7 x 10 -11) (150 x 6 x 1024) / (6.4 × 106) 2 = 1472 N