A road race is taking place along the track shown in the figure (Figure 1). All of the cars are moving at constant speeds. The car at point F is traveling along a straight section of the track, whereas all the other cars are moving along curved segments of the track.

Assuming that all cars have equal speeds, which car has the acceleration of the greatest magnitude, and which one has the acceleration of the least magnitude?

Give your answer as "X, Y" where X is the car with the greatest magnitude of acceleration and Y is the car with the least magnitude of acceleration.

Hint 1. How to approach the problem opened hint Recall that the magnitude of the acceleration of an object that moves at constant speed along a curved path is inversely proportional to the radius of curvature of the path.

Question

xyobabygirl xyobabygirl

07-11-2019
Physics

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A road race is taking place along the track shown in the figure (Figure 1). All of the cars are moving at constant speeds. The car at point F is traveling along a straight section of the track, whereas all the other cars are moving along curved segments of the track.

Assuming that all cars have equal speeds, which car has the acceleration of the greatest magnitude, and which one has the acceleration of the least magnitude?

Give your answer as "X, Y" where X is the car with the greatest magnitude of acceleration and Y is the car with the least magnitude of acceleration.

Hint 1. How to approach the problem opened hint Recall that the magnitude of the acceleration of an object that moves at constant speed along a curved path is inversely proportional to the radius of curvature of the path.

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skyluke89 skyluke89 · Answer 1 · 2019-11-11T04:08:32+01:00

Car F has the least acceleration and car D has the largest acceleration

Explanation:

An object in a circular motion experiences a centripetal acceleration whose magnitude is given by:

[tex]a=\frac{v^2}{r}[/tex]

where

v is the speed of the object

r is the radius of the turn at that point

Therefore we see that:

- The acceleration of a car in a turn is proportional to the square of the speed

- The acceleration of a car in a turn is inversely proportional to the radius of the turn

According to the second statement, this means that the smaller the radius of the curve (= curve is more "sharp"), the larger the acceleration experienced by the car.

By looking at the figure attached, we notice that:

- Car F is the car with least acceleration, since it is moving in a straight path (because the radius of the curve is the largest possible, technically infinite)

- Car D is the car with greatest acceleration, since it is moving in the section of the track where the turn is more sharp (so, the radius of the curve is the least).

Learn more about centripetal acceleration:

https://brainly.com/question/2562955

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