A satellite has kinetic energy K, potential energy V and total en

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 Multiple Choice QuestionsMultiple Choice Questions

221.

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m respectively from the origin. The resulting gravitational potential due to this system at the origin will be

  • − G

  • - 83 G

  • - 43 G

  • − 4 G


222.

An artificial satellite moves in a circular orbit around the earth. Total energy of the satellite is given by E. The potential energy of the satellite is 

  • - 2E

  • 2E

  • 2E3

  • - 2E3


223.

Two particles of mass m1 and m2 approach each other due to their mutual gravitational attraction only. Then

  • accelerations of both the particles are equal

  • acceleration of the particle of mass m1 is proportional to m1

  • acceleration of the particle of mass m1 is proportional to m2

  • acceleration of the particle of mass m1 is inversely proportional to m1


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224.

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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