Question

A small ball is put into a cone and made to move at constant speed v in a horizontal circle of constant radius r. (See figure below.) (a) What is the ball’s centripetal acceleration? (b) What is its tangential acceleration? (c) What force can counteract the force of gravity so that the ball keeps moving in a horizontal circle? (d) Use these insights to determine the height h the ball is circling above the bottom of the cone. [Hint: This is equivalent to finding the angle the cone makes with its vertical axis.]

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