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Question
30 true or false 1 point an eraser is tied to a string; a person holds the string and applies a tension force as the eraser is moved in a circle at constant speed. this is an example of work being done. true false
Work is calculated as \(W = F\times d\times\cos\theta\), where \(F\) is the force, \(d\) is the displacement, and \(\theta\) is the angle between the force and the displacement. In the case of the eraser moving in a circular path at constant speed, the tension force is directed towards the center of the circle (centripetal force), and the displacement at any instant is tangent to the circle. So, \(\theta = 90^{\circ}\), and \(\cos(90^{\circ})=0\). Thus, \(W = 0\).
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B. False