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Two astronauts, Jack (mass = 100 kg) and Kate, are floating in space 2m apart, far away from any massive sources, and are deeply in love. The love they feel is actually the gravitational force between them. Meanwhile, 10^13m away from Kate, a menacing Jupiter (mass = 2 x 10^27 kg), seeks to destroy their love. Jack and Jupiter are situated on opposite sides of Kate. Does "love" prevail? (in other words, does Jack's gravitational force exceed that of Jupiter?)

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