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A stunt driver rounds a banked, circular curve. The driver rounds the curve at a high, constant speed, such that the car is just on the verge of skidding to the outside of the curve. A front view of a car driving on a banked curve. The cross section of the banked road is constructed like a ramp. The car drives transversely to the slope of the ramp, so that the wheels of one side of the car are lower than the wheels on the other side of the car. Which forces are directly responsible for producing the car’s centripetal acceleration? Coriolis force centripetal force frictional force normal force gravitational force

2 Answers

3 votes

Final answer:

Centripetal acceleration of a car on a banked curve at constant speed without skidding is caused by the horizontal component of the normal force, with gravitational force also playing a role.

Step-by-step explanation:

The stunt driver rounding a banked circular curve at a constant speed experiences centripetal acceleration due to two main forces: the gravitational force (weight) and the normal force exerted by the road. On a banked curve, the normal force of the road has a horizontal component that provides the necessary centripetal force to keep the car moving in a circular path without sliding outwards.

The frictional force does not contribute in this case, assuming a frictionless surface, nor do the Coriolis force, centripetal force as an independent force (since it's a result, not a cause), or any other force. Thus, the centripetal acceleration is the result of the horizontal component of the normal force.

User Ivan Karpan
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3.6k points
7 votes

Answer: C

Frictional force

Step-by-step explanation:

The description of the question above is an example of a circular motion.

For a car travelling in a curved path, the frictional force between the tyres and the road surface will provide the centripetal force.

Since the road is banked, and the cross section of the banked road is constructed like a ramp. The car drives transversely to the slope of the ramp, so that the wheels of one side of the car are lower than the wheels on the other side of the car, for cornering the banked road, the car will not rely only on the frictional force.

Therefore, the correct answer is option C - the frictional force.

User Peter Walser
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