A steel ball with mass m is suspended from the ceiling at the bottom end of a light, 15.0-m-long rope. The ball swings back and forth like a pendulum. When the ball is at its lowest point and the rope is vertical, the tension in the rope is three times the weight of the ball, so T = 3mg. (a) What is the speed of the ball as it swings through this point? (b) What is the speed of the ball if T = mg at this point, where the rope is vertical?

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A steel ball with mass m is suspended from the ceiling at the
bottom end of a light, 15.0-m-long rope. The ball swings back and forth
like a pendulum. When the ball is at its lowest point and the rope is
vertical, the tension in the rope is three times the weight of the ball,
so T = 3mg. (a) What is the speed of the ball as it swings through this
point? (b) What is the speed of the ball if T = mg at this point, where
the rope is vertical?

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