Two satellites A and B move round the earth in the same orbit. The mas

1.	Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A. (a) Speeds of A and B are equal. (b) The potential energy of earth + A is same as that of earth + B. (c) The kinetic energy of A and B are equal. (d) The total energy of earth + A is same as that of earth + B.
Answer» (a) Speeds of A and B are equal. EXPLANATION: The velocity of a satellite in an orbit, v = √(GM/a). So the velocity of a satellite in an orbit is in independent of its mass. So (a) is true. The potential energy of the earth satellite system = -GMm/a, so it is dependent on the mass of the satellite. Hence (b) is not true. Since the K.E. (½mv²) depends on the mass, so (c) is not true. Again the total energy of the system = -GMm/2a. It is also dependent on mass, so (d) is not true.

Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A. (a) Speeds of A and B are equal. (b) The potential energy of earth + A is same as that of earth + B. (c) The kinetic energy of A and B are equal. (d) The total energy of earth + A is same as that of earth + B.

Answer»

(a) Speeds of A and B are equal.

EXPLANATION:

The velocity of a satellite in an orbit, v = √(GM/a). So the velocity of a satellite in an orbit is in independent of its mass. So (a) is true. The potential energy of the earth satellite system = -GMm/a, so it is dependent on the mass of the satellite. Hence (b) is not true. Since the K.E. (½mv²) depends on the mass, so (c) is not true. Again the total energy of the system = -GMm/2a. It is also dependent on mass, so (d) is not true.

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