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FMA-2019A-21 · 2019A F = ma (AAPT)

2019 F = ma Exam A — Question 21

A spherical cloud of dust has uniform mass density ρ and radius R. Satellite A of negligible mass is orbiting the cloud at its edge, in a circular orbit of radius R, and satellite B is orbiting the cloud just inside the cloud, in a circular orbit of radius r, with r < R. If v is the speed of satellite i and T is the i i period of satellite i, which of the following is true? Neglect any drag forces
Source: Question 21, 2019 F = ma Exam A, © 2019 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.