What is the force of gravity on a body of mass 150 kg lying on the surface of the earth?
(Mass of earth =6×1024 kg; Radius of earth = 6.4×106m;G=6.7×10−11Nm2/kg2)
The formula for the force (F) according to law of gravitation is given by,
F = G×ME×mobjR2
Given :
Mass of earth, ME =6×1024kg;
Radius of earth, R = 6.4×106m;
Gravitation, G =6.7×10−11Nm2kg2
Mass of a body mobj = 150 kg
Plug in the values to the formula,
F =6.7×10−11×6×1024×150(6.4×106)2
F= 6.7×6×150×10(−11+24)(6.42×106×2)
F = 6030×101340.96×1012
F = 147.21×10(13−12) = 147.21×10
F= 1472 N