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

Asked on by hrrjack

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neela | High School Teacher | (Level 3) Valedictorian

Posted on

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.)

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