A bucket of mass 2.10 kg is whirled in a vertical circle of radius 1.00 m . At the lowest point of its motion the tension in the rope supporting the bucket is 28.0 N . Find the speed of the bucket. Hint: draw a free-body diagram of the bucket at the bottom of the motion. How fast must the bucket move at the top of the circle so that the rope does not go slack? Hint: draw a free-body diagram of the bucket at the top of the motion.

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!