Question

derive an expression for the same . what is the velocity on the surface of 1)moon​

Answer 1

Answer:

whose velocity are u asking about?

Answer 2

Answer:

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

∴

r

Mv

c

2

=

r

2

GMm

∴v

c

2

=

r

GM

∴v

c

=

R+h

GM

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

We know that,

g

h

=

(R+h)

2

GM

GM=g

h

(R+h)

2

Substituting in equation (1), we get

∴v

c

=

R+h

g

h

(R+h)

2

∴v

c

=

g

h

(R+h)

where g

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