83. In an amusement park, a car rolls in a track as shown below. Find the speed of the car at A, B, and C. Note that the work done by the rolling friction is zero since the displacement of the point at which the rolling friction acts on the tires is momentarily at rest and therefore has a zero displacement.

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Ch.8 Problem #83
**Problem 83: Amusement Park Physics**

In an amusement park, a car rolls along a track as illustrated. Determine the speed of the car at points A, B, and C. It is important to note that the work done by the rolling friction is zero. This is because the displacement of the point where the rolling friction acts on the tires is momentarily at rest, resulting in zero displacement.

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*Educational Note:*

For this problem, consider the principles of energy conservation and frictional force. When analyzing the motion of the car, take into account kinetic and potential energy transformations between the given points. A hint for solving: use the conservation of mechanical energy, assuming negligible air resistance and other non-conservative forces.
Transcribed Image Text:**Problem 83: Amusement Park Physics** In an amusement park, a car rolls along a track as illustrated. Determine the speed of the car at points A, B, and C. It is important to note that the work done by the rolling friction is zero. This is because the displacement of the point where the rolling friction acts on the tires is momentarily at rest, resulting in zero displacement. --- *Educational Note:* For this problem, consider the principles of energy conservation and frictional force. When analyzing the motion of the car, take into account kinetic and potential energy transformations between the given points. A hint for solving: use the conservation of mechanical energy, assuming negligible air resistance and other non-conservative forces.
**Figure Explanation:**

The diagram shows a trajectory of a ball rolling on a frictionless track. The path includes three critical points labeled as A, B, and C, with specific heights marked on the path.

- The path begins at the top left at a height where the velocity \( v = 0 \).
- The initial height is 50 meters above the reference point, the ground.
- Point A is 20 meters above the ground.
- The ball then moves to Point B, which is 40 meters above the ground.
- Finally, the path ends at Point C, which is at ground level (0 meters).

**Transcription of Problem Statement:**

84. A 200-g steel ball is tied to a 2.00-m "massless" string and released from the height shown in the diagram. Determine the speed of the ball at the different points along its path, assuming no energy is lost to friction.

The text should include a problem statement and measurements mentioned in the figure.
Transcribed Image Text:**Figure Explanation:** The diagram shows a trajectory of a ball rolling on a frictionless track. The path includes three critical points labeled as A, B, and C, with specific heights marked on the path. - The path begins at the top left at a height where the velocity \( v = 0 \). - The initial height is 50 meters above the reference point, the ground. - Point A is 20 meters above the ground. - The ball then moves to Point B, which is 40 meters above the ground. - Finally, the path ends at Point C, which is at ground level (0 meters). **Transcription of Problem Statement:** 84. A 200-g steel ball is tied to a 2.00-m "massless" string and released from the height shown in the diagram. Determine the speed of the ball at the different points along its path, assuming no energy is lost to friction. The text should include a problem statement and measurements mentioned in the figure.
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