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A diver of mass 67.9 kg stands on one end of a diving board of mass 21.7 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board?     2,015 N     518 N     1,439 N     863 N

A diver of mass 67.9 kg stands on one end of a diving board of mass 21.7 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board?     2,015 N     518 N     1,439 N     863 N

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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9. A diver of mass 67.9 kg stands on one end of a diving board of mass 21.7 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board?
   
2,015 N
   
518 N
   
1,439 N
   
863 N
### Understanding Lever Mechanics through a Diving Board Example In this educational diagram, we explore basic principles of levers as demonstrated using a diving board scenario. The image shows a side view of a diving board extending over a pool. **Description & Components:** 1. **Diving Board**: - The diving board is depicted as a long, horizontal structure, typically made of a flexible material. - It is supported at one end by a stationary structure, often referred to as the fulcrum. 2. **Measurements**: - The distance from the stationary support to the end of the diving board (where it is attached to the support structure) measures 1.00 meter. - From this point, the board extends an additional 2.00 meters outwards, where a diver is positioned, ready to dive. 3. **Diver Position**: - A figure stands at the edge of the extended diving board, showing the typical position a diver would assume before diving. **Educational Insights:** - **Lever Mechanics**: - A diving board functions as a type of lever – specifically, a Class 1 lever, where the fulcrum is between the effort and the load. - In this scenario, the diver jumping off the board applies effort at a distance from the fulcrum, causing the board to exert a downward force on the supported end and an upward force on the diver, propelling them into the air. - **Lever Arm Calculation**: - The lengths given (1.00 m and 2.00 m) can be used to calculate forces at play using the principles of moments (torque). This visual example serves as a practical demonstration of lever mechanics in a real-world context, helping students visualize and understand fundamental physics concepts. ### Additional Notes: - **Safety Considerations**: - Always ensure diving boards are structurally sound and used under supervision to prevent accidents. - Proper posture and stance, as illustrated, are critical for a safe and effective dive. This image and its explanation provide students with a clear and practical application of the principles of physics, helping to bridge theoretical concepts with everyday observations.
Transcribed Image Text:### Understanding Lever Mechanics through a Diving Board Example In this educational diagram, we explore basic principles of levers as demonstrated using a diving board scenario. The image shows a side view of a diving board extending over a pool. **Description & Components:** 1. **Diving Board**: - The diving board is depicted as a long, horizontal structure, typically made of a flexible material. - It is supported at one end by a stationary structure, often referred to as the fulcrum. 2. **Measurements**: - The distance from the stationary support to the end of the diving board (where it is attached to the support structure) measures 1.00 meter. - From this point, the board extends an additional 2.00 meters outwards, where a diver is positioned, ready to dive. 3. **Diver Position**: - A figure stands at the edge of the extended diving board, showing the typical position a diver would assume before diving. **Educational Insights:** - **Lever Mechanics**: - A diving board functions as a type of lever – specifically, a Class 1 lever, where the fulcrum is between the effort and the load. - In this scenario, the diver jumping off the board applies effort at a distance from the fulcrum, causing the board to exert a downward force on the supported end and an upward force on the diver, propelling them into the air. - **Lever Arm Calculation**: - The lengths given (1.00 m and 2.00 m) can be used to calculate forces at play using the principles of moments (torque). This visual example serves as a practical demonstration of lever mechanics in a real-world context, helping students visualize and understand fundamental physics concepts. ### Additional Notes: - **Safety Considerations**: - Always ensure diving boards are structurally sound and used under supervision to prevent accidents. - Proper posture and stance, as illustrated, are critical for a safe and effective dive. This image and its explanation provide students with a clear and practical application of the principles of physics, helping to bridge theoretical concepts with everyday observations.
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