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2 Problems on Motion on circular Path: Centripetal force

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1. A 1000 kg car rounds a turn of radius 30m at a velocity of 9 m/s.
(a) How much centripetal force is required?
(b) Where does this force come from?

2. The maximum force a road can exert on the tires of a 3200 lb car is
2000 lb. What is the maximum velocity at which the car can round a turn of radius 320 ft?

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Solution Preview

Please see the attached file for complete solution.

1. A 1000 kg car rounds a turn of radius 30m at a velocity of 9 m/s.

(a) How much centripetal force is required?
The centripetal force acting on a body of mass m moving on a circular path of radius R with a constant speed v is given by

Substituting ...

Solution Summary

Two problems about calculating the centripetal force and radius of curvature.

$2.19