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F = ma (11–17)
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FMA-2022B-13 · 2022B F = ma (AAPT)

2022 F = ma Exam B — Question 13

A ballistic pendulum is designed as shown below. ℓ m v m r A uniform ball of mass m and radius r is attached to a massless rigid rod, so that its center is a distance ℓ from the ceiling. The ball has a small tunnel hollowed out. A small block of mass m and speed v goes into the tunnel and collides at the center of the ball, perfectly inelastically. Subsequently, to what maximum height does the block rise?
Source: Question 13, 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.