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Let R denote the radius of the Earth. Suppose a satellite (call it 1) is sitting on the surface of the Earth, and another identical satellite (call...

Let R denote the radius of the Earth. Suppose a satellite (call it 1) is sitting on the surface of the Earth, and another identical satellite (call it 2) is at an altitude 2R above the surface. The force of the Earth's gravity on satellite 2, compared to that on satellite 1, is (A) the same, (B) half as strong , (C) one-fourth as strong, (D) one-ninth as strong, (E) twice as strong, (F) four times as strong, (G) nine times as strong.

Show how you arrived to your answer. (Hint #1: draw a sketch and compute a suitable ratio of quantities.) (Hint#2: you do not need to know the numerical values of G, M, or R.)

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