Two satellites A and B of the same mass are going around Earth in concentric orb

Question

Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth's center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth's center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A? Two satellites A and B of the same mass are going around Earth in concentric orbits. The distance of satellite B from Earth's center is twice that of satellite A. What is the ratio of the centripetal force acting on B compared to that acting on A?

Explanation / Answer

centripetal force is provided by the gravitational force of attaraction by the earth.

Ratio of centripetal force = ration of gravitational force = GmA M/ra2 / (GmBM/rb2) = (mA/mB) (rb/ra)2 = (1) (2)2 = 4

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