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AP Physics 1
2.9 Circular Motion
AdvancedMCQProportional Analysis15.5k
A side-view diagram showing a small sphere of mass m attached to a string of length R. The sphere is at the top of a vertical circle, which is indicated by a dashed circular path. A horizontal velocity vector labeled v_0 points to the right from the sphere. Two downward arrows from the sphere represent the force of gravity mg and the tension force T.
Sphere at the top of a vertical circular path of radius R.
A small sphere of mass \(m\) is attached to an ideal string of length \(R\) and whirled in a vertical circle. When the sphere is at the highest point of its path, it has a speed \(v_0\) and the tension in the string has a magnitude \(T\). The speed of the sphere is then increased such that the new speed at the highest point is \(2v_0\). What is the new magnitude of the tension in the string when the sphere is at the highest point with this new speed?

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