A small model car with mass m travels at constant speed on

Chapter 5, Problem 5.47

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QUESTION:

A small model car with mass m travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Fig. E5.45). If the normal force exerted by the track on the car when it is at the bottom of the track (point A) is equal to 2.50mg, how much time does it take the car to complete one revolution around the track?

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QUESTION:

A small model car with mass m travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m (Fig. E5.45). If the normal force exerted by the track on the car when it is at the bottom of the track (point A) is equal to 2.50mg, how much time does it take the car to complete one revolution around the track?

ANSWER:


Given:
m = mass of car
B = Radius = 5 m
N = Normal force = 2.50mg

The car is travelling in a vertical circle with a constant speed.
Using the formula for centripetal acceleration,
a_c = (v^2)

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