Question

A satellite of mass 200 kg revolving in a circular orbit of radius 2R around the earth has kinetic energy E. Then it's angular momentum will be​

Answer 1

Given that,

It is given that, a satellite of mass 200 kg revolving in a circular orbit of radius 2R around the earth has kinetic energy E.

To find,

Angular momentum of the satellite.

Solution,

The kinetic energy of the satellite is given by :

$E=\dfrac{1}{2}mv^2$ .....(1)

v is speed of satellite

Equation (1) can be rearranged as :

$mv=\sqrt{2mE}$ .......(2)

The angular momentum of the satellite is given by :

$L=mvr$

Putting equation (2) in above formula as :

$L=r\sqrt{2mE}$

Putting, r = 2R and m = 200 kg we get :

$L=2R\sqrt{2\times 200E}\\\\L=40R\sqrt{E}$

So, the angular momentum of the satellite is $40R\sqrt{E}$.

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A satellite of mass 200 kg revolving in a circular orbit of radius 2R around the earth has kinetic energy E. Then it's angular momentum will be​ ?

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