Two satellites A and B move round the earth in the same orbit. The mass of B is twice the mass of A.
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.
1 Answers
(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.