(a) Derive an expression for the speed required for a satellite to move in a circular…

PHYSICS · Subjective · CBSE · Physics · Gravitation · Gravitation

Problem

(a) Derive an expression for the speed required for a satellite to move in a circular orbit of radius

R + h

around Earth in terms of

g

R

, and

h

. (b) A low-Earth satellite is required to have an orbital speed of

6.0\,\text{km\,s}^{-1}

. Calculate the altitude

h

(in kilometres) at which this is possible. Take

R = 6.4\times10^{3}\,\text{km}

and

g = 9.8\,\text{m\,s}^{-2}