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Question

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

A
K=V/2
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B
K=V/2
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C
E=K/2
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D
E=K/2
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Solution

The correct option is B K=V/2

As we know that for the earth and satellite system,

Kinetic energy, K=GMm2a

Potential energy, V=GMma

And total energy, E=Gmm2a

Where, a= radius of the orbit of the satellite and

On the basis of above three expression for the energies, we have

K=GMm2a=⎜ ⎜ ⎜GMma2⎟ ⎟ ⎟=V2


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