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Circular Motion

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Why is it necessary to never allow brakes to lock up in order to successfully pull out of a skid on the ice?

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https://brainmass.com/physics/circular-motion/circular-motion-locked-brakes-117198

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(Please see the attached file).

To understand the given situation, let us first understand the motion of a vehicle on a curved track. Fig.1 shows a vehicle of mass m traveling with a speed v on a circular track of mean radius R. As we know, for any object to move on a circular track, a force is required to act on it, directed towards the centre of the circular track (centripetal force). The magnitude of this force must be at least equal to mv^2/R. From where does this force come for motion of the vehicle on the circular track? Answer is - from friction between the tires and the track as explained hereunder.

To understand better, let us look at fig.2, which gives a view of the vehicle as seen from the ...

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Step-by-step solution provided to discuss why it is necessary to never allow brakes to lock up in order to successfully pull out of a skid on the ice.

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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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