Question

derive the formula of critical velocity of setallite assuming the mass of the planet M and mass of setallite as M​​

Answer 1

Explanation:

Consider a satellite of mass m revolving round the Earth at a, height 'h' above the surface of the Earth.

Let M be the mass and R be the radius of the Earth.

The satellite is moving with velocity V and the radius of the circular orbit is r = R + h.

Centripetal force = Gravitational force

Mv²/r=vGMm/r^2

v^2= GM/r

Vc=√Gm/R+H

This is the expression for critical velocity of a satellite moving in a circular orbit around the Earth,

We know that,

gh= GM (R+h)²

GM = gh (R+ h)²

Substituting in equation (1), we get

Vc = gh (R+h)2/R+H

Vc = √gh (R+ h)

where gh is the acceleration due to gravity at a height above the surface of the Earth.

PLEASE MARK BRAINLIST