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F = ma (First 10)
Dynamics
FMA-2014-10 · 2014 F = ma (AAPT)

2014 F = ma Exam — Question 10

10. A radio controlled car is attached to a stake in the ground by a 3.00 m long piece of string, and is forced to move in a circular path. The car has an initial angular velocity of 1.00 rad/s and smoothly accelerates at a rate of 4.00 rad/s2. The string will break if the centripetal acceleration exceeds 2.43 × 102 m/s2. How long can the car accelerate at this rate before the string breaks?
Source: Question 10, 2014 F = ma Exam, © 2014 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.