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Physics Practice Problems 7-3 (use example problem on back)
1. Suppose the mass of the rubber stopper in the Example Problem on the back is doubled, but all other given
quantities remain the same. How would the velocity, acceleration, and force change?
2. If the radius in the Example Problem were twice as large, but all other given quantities remained the same,
how would velocity, acceleration, and force change?
3. If the stopper were swung in the same circle so it had a period half as large as in the example, how would
the answers change?
4. A runner moving at a speed of 8.8 m/s rounds a bend with a radius of 25 m.
a. Find the centripetal acceleration of the runner.
b. What supplies the force needed to give this acceleration to the runner?
5. Racing on a flat track, a car going 32 m/s rounds a curve 56 m in radius.
a. What is the car's centripetal acceleration?
b. What would be the minimum coefficient of static friction between tires and road that would be
needed for the car to round the curve without skidding?
6. A racing car rounds a curve that is banked.
a. Sketch the auto tire on the incline, drawing vectors representing all the forces on the tire.
b. Components of what two forces provide the centripetal acceleration for the auto tire, and therefore,
the auto?