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# Force of gravitational attraction

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(A) A satellite revolves around a planet at an altitude equal to the radius of the planet. The force of gravitational interaction between the satellite and the planet is F_0. Then the satellite moves to a different orbit, so that its altitude is tripled. Find the new force of gravitational interaction F_2. Express your answer in terms of F_0.

(B) Two satellites revolve around the Earth. Satellite A has mass m and has an orbit of radius r. Satellite B has mass 6m and an orbit of unknown radius r_b. The forces of gravitational attraction between each satellite and the Earth is the same. Find r_b. Express your answer in terms of r.

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#### Solution Preview

(A) Let R be the radius of the planet. F is proportional to (1/r^2) where r is the distance between the ...

#### Solution Summary

Simple application of formula.

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