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73. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in his seat at point A?

73. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in his seat at point A?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Ch.6 Problem 73
**Physics Problem: Roller Coaster Dynamics** Consider a child with a mass of 40.0 kg who is in a roller coaster car traveling through a loop with a radius of 7.00 m. At point A, the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. **Questions:** (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in the seat at point A? **Diagram:** - The image shows a segment of a roller coaster track with points A and B indicated at different positions on a loop. The loop is shown with tracks leading in and out, simulating the roller coaster path. This problem requires us to use concepts of circular motion to calculate forces at different points in the loop.
Transcribed Image Text:**Physics Problem: Roller Coaster Dynamics** Consider a child with a mass of 40.0 kg who is in a roller coaster car traveling through a loop with a radius of 7.00 m. At point A, the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. **Questions:** (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in the seat at point A? **Diagram:** - The image shows a segment of a roller coaster track with points A and B indicated at different positions on a loop. The loop is shown with tracks leading in and out, simulating the roller coaster path. This problem requires us to use concepts of circular motion to calculate forces at different points in the loop.
The image depicts a diagram of a roller coaster loop. The loop is circular, with a roller coaster car positioned on the track at the bottom left side of the loop. Key elements in the diagram: 1. **Roller Coaster Track**: The looping track is illustrated with a double line indicating the pathway for the roller coaster car. 2. **Angle Notation**: Inside the loop, there is a dashed line forming a chord between two points on the track, points A and B, forming an angle of 30° at the center of the loop. 3. **Roller Coaster Car**: A simple illustration of a roller coaster car is shown approaching the loop from the left side. 4. **Support Structures**: The loop is supported by vertical and diagonal beams to maintain its structure. This diagram is useful for studying the physics of circular motion and understanding concepts such as centripetal force, gravitational potential energy, and kinetic energy as the roller coaster car moves through the loop.
Transcribed Image Text:The image depicts a diagram of a roller coaster loop. The loop is circular, with a roller coaster car positioned on the track at the bottom left side of the loop. Key elements in the diagram: 1. **Roller Coaster Track**: The looping track is illustrated with a double line indicating the pathway for the roller coaster car. 2. **Angle Notation**: Inside the loop, there is a dashed line forming a chord between two points on the track, points A and B, forming an angle of 30° at the center of the loop. 3. **Roller Coaster Car**: A simple illustration of a roller coaster car is shown approaching the loop from the left side. 4. **Support Structures**: The loop is supported by vertical and diagonal beams to maintain its structure. This diagram is useful for studying the physics of circular motion and understanding concepts such as centripetal force, gravitational potential energy, and kinetic energy as the roller coaster car moves through the loop.
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