Question

the period of revolution of an artificial satellite just above the earth T and the density of the earth p. show that T square is a Universal constant​

Answer 1

Answer:

density is ρ and let radius be r

So, mass=

3

4πρr

3

and let mass of body be m.

Time period T is given by T=2π

GM

r

3

=2π

3

4Gπρr

3

r

3

Solving the above equation we get G=

T

2

ρ

3π