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Four problems about tension and circular motion

(See attached file for full problem description)

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1. In a tug-of-war, each man on a 5-man team pulls with an average force of 500 N. What is the tension in the center of the rope?

A zero newtons
B 100 N
C 500 N
D 2500 N
E 5000 N

2. A ball moves with a constant speed of 4 m/s around a circle of radius 0.25 m. What is the period of the motion?

A 0.1 s
B 0.4 s
C 0.7 s
D 1 s
E 2 s

3. A race car is traveling at constant speed around a circular track. What happens to the centripetal acceleration of the car if the speed is doubled?

A It remains the same.
B It increases by a factor of 2.
C It increases by a factor of 4.
D It is decreased by a factor of one-half.
E It is decreased by a factor of one-fourth.

4. A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate the unbanked curve?

A 5 m/s
B 10 m/s
C 20 m/s
D 40 m/s
E 100 m/s
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(See attached file for full problem description)

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Solution Summary

This solution contains four questions. The first is a tug of war tension question. The next three relate to circular motion of a ball, a race car and car tires.

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