A ball is tied to the end of an 80.0-cm string and swings in a vertical circle a

Question

A ball is tied to the end of an 80.0-cm string and swings in a vertical circle about a fixed center under the influence of gravity. The speed of the mass at the bottom of the swing is 6.00 m/s. Which of the following statements is true? 40) A) This question cannot be answered without knowing the mass of the ball. B) The ball has enough energy to continue revolving in a complete vertical circle. C) This question cannot be answered without knowing the tension in the string. D) The ball does not have enough energy to reach the top of the circle. E) The ball has enough energy to reach the top of the circle but the string becomes slack before it can reach that point

Explanation / Answer

the minimum speed required at bottom of the circle to complete the vertical motion = sqrt(5gr)= sqrt(5x9.8x0.8) = 6.26 m/s

in this case the speed at bottom is 6m/s

so answer option is E) The ball has enough energy to reach the top of the circle but the string becomes slack before it can reach that point

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