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Question 413 of 949

A car is traveling around a circular track with a constant speed. Which of the following statements about the forces acting on the car is true?

  • The net force acting on the car is zero because the speed is constant.
  • The centripetal force required to keep the car moving in a circle is directed outward from the center of the circle.
  • The car experiences a net inward force towards the center of the circle, providing the necessary centripetal force.
  • The friction between the tires and the track is irrelevant to the motion of the car.

Correct Answer: C

Explanation
The correct option is **C. The car experiences a net inward force towards the center of the circle, providing the necessary centripetal force.** ### Detailed Explanation: 1. **Understanding Circular Motion**: - When an object moves in a circular path at a constant speed, it is undergoing uniform circular motion. Although the speed is constant, the direction of the velocity vector is continuously changing. This change in direction means that the object is accelerating, even if its speed remains the same. 2. **Centripetal Force**: - To maintain circular motion, an object requires a net force directed towards the center of the circle. This force is known as the **centripetal force**. It is essential for keeping the car on its circular path. The centripetal force can be provided by various forces, such as tension, gravity, or friction. 3. **Net Inward Force**: - In the case of a car traveling around a circular track, the friction between the tires and the track provides the necessary centripetal force. This frictional force acts inward, towards the center of the circle, allowing the car to maintain its circular path. If this inward force were to disappear, the car would no longer follow the circular path and would instead move off in a straight line due to inertia (as described by Newton's first law of motion). 4. **Why Option C is Correct**: - Option C correctly states that the car experiences a net inward force towards the center of the circle, which is necessary for circular motion. This inward force is what keeps the car from skidding off the track and is crucial for maintaining the circular path. ### Why the Other Options are Incorrect: - **Option A: The net force acting on the car is zero because the speed is constant.** - This statement is incorrect because, while the speed is constant, the direction of the velocity is changing. Therefore, there is an acceleration (centripetal acceleration) acting on the car, which means there must be a net force acting on it. According to Newton's second law, a net force is required to produce acceleration. - **Option B: The centripetal force required to keep the car moving in a circle is directed outward from the center of the circle.** - This statement is misleading. The centripetal force is always directed inward towards the center of the circle. The confusion may arise from the concept of centrifugal force, which is a perceived force that seems to act outward when in a rotating reference frame. However, in the context of real forces acting on the car, the centripetal force is indeed directed inward. - **Option D: The friction between the tires and the track is irrelevant to the motion of the car.** - This statement is incorrect because friction is crucial for providing the centripetal force needed for the car to navigate the circular track. Without sufficient friction, the car would not be able to maintain its circular path and would slide outward due to inertia. ### Summary of Key Points: - A car in circular motion experiences a net inward force (centripetal force) necessary for maintaining its path. - The centripetal force is provided by friction between the tires and the track. - Constant speed does not imply zero net force; direction change indicates acceleration. - Misunderstanding of forces can lead to confusion about circular motion dynamics. This thorough understanding of forces in circular motion is essential for solving problems related to dynamics and kinematics in physics.
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