Question

Find the angular momentum of satellite of mass 400 kg moving around the earth in radius 4 into 10 ^7

Answer 1

Given:

The mass of the satellite m=400 Kg

The radius of earth R=4×10⁷

To find:

The angular momentum of the satellite

Solution:

The formula of velocity is

v=$\sqrt{} \frac{GM}{R}$

The formula of angular momentum is

L= MvR

Using these two formula we get

L=$\sqrt{GMmR}$

Putting the above values

L=$\sqrt{400. 4.4.10^{7} }$

L=5×10¹² Kgm²/sec

So the angular momentum is 5×10¹² Kgm²/sec