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AP Physics 1
2.9 Circular Motion
2.5 Newton’s Second Law
2.2 Forces and Free-Body Diagrams
AdvancedMCQMathematicalConceptual20.4k
A diagram of a circle with a center point. A solid line representing a string extends from the center to a mass at the very bottom, labeled Point B. Another solid line extends from the center to the mass at the very top, labeled Point T. A downward arrow is labeled g to represent the acceleration due to gravity.
A mass moving in a vertical circle of radius L.
A ball of mass \(m\) is attached to a light string of length \(L\) and whirled in a vertical circle. At the bottom of the circle (Point B), the ball has speed \(v_B\) and the tension in the string is \(T_B\). At the top of the circle (Point T), the ball has speed \(v_T\) and the tension in the string is \(T_T\). The speeds at these two points are related by the equation \(v_B^2 - v_T^2 = 4gL\). In terms of \(m\) and \(g\), what is the value of the difference in the tension magnitudes \(T_B - T_T\)?

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