### Determine the radius r of the tire

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Q1. An 18.0 g rifle bullet travelling 245 m/s buries itself in a 3.50 kg pendulum hanging on a 3.00 m long string, which makes the pendulum swing upward in an arc. Find out the vertical and horizontal components of the pendulum's displacement.

Q2. A stone has a mass of 3.00 x 10-3 kg and is wedged into the tread of an automobile tire. The coefficient of static friction between the stone and each side of tread channel is 0.76. When the tire surface is rotating at the maximum speed of 13m/s the stone flies out of the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 1.8N. Suppose that only static friction supplies the centripetal force, and determine the radius r of the tire.

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