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F = ma (Final Problems)
Gravitation
FMA-2022B-22 · 2022B F = ma (AAPT)

2022 F = ma Exam B — Question 22

A cannon just above of a spherical planet with mass M and radius R launches a particle with p the surface p speed v, where GM/R < v < 2GM/R. The initial velocity of the particle makes an angle θ with the vertical direction. Neglect drag. For what θ will the particle never collide with the planet?
Source: Question 22, 2022 F = ma Exam B, © 2022 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.