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The total energy of an artificial satell...

The total energy of an artificial satellite of mass m revolving in a circular orbit around the earth with a speed v is

A

`1/2 mv ^(2)`

B

`1/4 mv ^(2)`

C

`-1/4 mv ^(2)`

D

`- mv ^(2)`

Text Solution

Verified by Experts

Total energy of the satellite is
`E = - (1)/(2) (GM_(e)m)/(R _(e))`
where `K = (1)/(2) ( GM _(e) m )/( R _(a))`
`therefore` Total energy =- Kinetic energy
`E = - 1/2 mv ^(2)`
Putting the value of KE in the form of mass of a satellite (m) and speed (v).
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