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AP Physics 1
3.4 Conservation of Energy
2.9 Circular Motion
Multi-Unit
IntermediateMCQMathematicalConceptual20.4k
A ball of mass m is at the bottom of a vertical circular path of radius L. A velocity vector v_0 points horizontally to the right. The circular path is indicated by a dashed line. The position at the top of the circle is also shown with a dashed circle representing the ball at that location.
A ball of mass m launched from the bottom of a vertical loop.
A student conducts three trials where a small ball is attached to a light string of length \(L\) and swung in a vertical circle. In each trial, the ball is launched from the bottom of the loop with a specific launch speed \(v_0\). The table below shows the mass of the ball and the launch speed for each trial.

CaseMassLaunch Speed \(v_0\)
1\(M\)\(\sqrt{7gL}\)
2\(2M\)\(\sqrt{6gL}\)
3\(M\)\(\sqrt{6gL}\)

Which of the following correctly ranks the tension \(T\) in the string when the ball is at the top of the loop for the three cases?

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