# Satellite A has twice the mass of satellite B, and rotates in the same orbit. Compare the two satellite's speedsMultiple Choice: A) the speed of B is twice the speed of A B) the speed of B is...

Satellite A has twice the mass of satellite B, and rotates in the same orbit. Compare the two satellite's speeds

Multiple Choice:

A) the speed of B is twice the speed of A

B) the speed of B is half the speed of A

C) the speed of B is one-fourth the speed of A

D) the speed of B is equal to the speed of A

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The equation governing the satellite speed, derived from the Newton Kepler's Law is given by:

v^2 =( GM/R)^(1/2) , where, G is the gravitational constant and M is the mass of the planet and R is the distance of the orbitting satellite from the planet, irrespective of its mass.

Therefore, the different satellites with different masses but with same distance from the planet has the same velocity and period also. (This could also be confirmed by the 3rd law of Kepler, which does not involve the mass of the satellite.)