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A satellite has kinetic energy K, potent...

A satellite has kinetic energy K, potential energy V and total energy E. Which of the following statements is true ?

A

`K=-V//2`

B

`K=V//2`

C

`E=-K//2`

D

`E=-K//2`

Text Solution

Verified by Experts

The correct Answer is:
A
As potential energy of satellite, `V=(GMm)/(r )`
Kinetic energy of satellite, `K=(GMm)/(2r)`
Total energy of satellite, `E-K+V`
`E=(GMm)/(2r)-(GMm)/(r )=-(GMm)/(2r)" or "K+V=(V)/(2), :. K=-(V)/(2)`.
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