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141.

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

  • K = − V/2

  • K = V/2

  • E = K/2

  • E = − K/2


A.

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 m = mass of the satellite

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

K = GMm2a = - - GMna2 = - V2


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