Question

Find the value of the acceleration due to gravity at a height of 12,800 km from the surface of the earth . Earth's radius = 6400 km

Answer 1

acceleration at a height = g. h
height= 12800 km
Radius = 6400 km
acceleration at surface of earth = g.e

g.h = g.e ÷ (1 + h / r) ^2
= 10 ÷ ( 1 + 12800/ 6400)^2
= 10 ÷( 1+ 2)^2
= 10 ÷ 9
= 1.11 m/ s^2