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A group of physics students, each of whom can pull with 100lb of force, is planning to topple a 9600lb statue that the school built for the meanest teacher. Assume the statue does not slide.Answer all questions relative to the rotation point. How much torque is caused by the statue's weight? How much tension must the students generate to "barely balance" the statue? What is the minimum number of students (whole number) needed to topple the statue?

A group of physics students, each of whom can pull with 100lb of force, is planning to topple a 9600lb statue that the school built for the meanest teacher. Assume the statue does not slide.Answer all questions relative to the rotation point. How much torque is caused by the statue's weight? How much tension must the students generate to "barely balance" the statue? What is the minimum number of students (whole number) needed to topple the statue?

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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A group of physics students, each of whom can pull with 100lb of force, is planning to topple a 9600lb statue that the school built for the meanest teacher. Assume the statue does not slide.Answer all questions relative to the rotation point.

How much torque is caused by the statue's weight?

How much tension must the students generate to "barely balance" the statue?

What is the minimum number of students (whole number) needed to topple the statue?

### Understanding Scale and Proportion: A Practical Example In this diagram, we focus on illustrating the concept of scale and proportion using two primary subjects: a life-sized model figure and a group of smaller figures representing students. #### Diagram Details: 1. **Life-sized Model Figure:** - The model figure stands at a height of 5 feet. - This figure is labeled "REFINGER #1." - The height is represented by five square units, with each unit equating to one foot on the vertical scale. 2. **Group of Smaller Figures:** - These smaller figures are positioned to the right of the life-sized model. - The students are depicted standing on a platform or pedestal, raising them to a height equivalent to the model figure, though their individual heights are less than the model figure itself. - The actual number of student figures must be calculated based on their relative size compared to the 5-foot model figure. #### Usage in Education: This diagram can be used to teach students about the concepts of scale and proportion in a visual manner. By analyzing the relative sizes and heights, students can learn how to apply mathematical calculations to real-world examples. It introduces the concept of unit measurement and extrapolation through a relatable and easily understandable image. #### Note: - **Important Calculation:** - The note included in the diagram specifies that the actual number of students in relation to the height of the model figure should be calculated. - This involves understanding that each smaller figure has a height that is a fraction of the 5-foot model, and thus, several smaller figures stacked together height-wise should match the height of the larger figure. By integrating visual aids like this diagram, educators can enhance the learning experience, making abstract mathematical concepts more tangible and relatable for students.
Transcribed Image Text:### Understanding Scale and Proportion: A Practical Example In this diagram, we focus on illustrating the concept of scale and proportion using two primary subjects: a life-sized model figure and a group of smaller figures representing students. #### Diagram Details: 1. **Life-sized Model Figure:** - The model figure stands at a height of 5 feet. - This figure is labeled "REFINGER #1." - The height is represented by five square units, with each unit equating to one foot on the vertical scale. 2. **Group of Smaller Figures:** - These smaller figures are positioned to the right of the life-sized model. - The students are depicted standing on a platform or pedestal, raising them to a height equivalent to the model figure, though their individual heights are less than the model figure itself. - The actual number of student figures must be calculated based on their relative size compared to the 5-foot model figure. #### Usage in Education: This diagram can be used to teach students about the concepts of scale and proportion in a visual manner. By analyzing the relative sizes and heights, students can learn how to apply mathematical calculations to real-world examples. It introduces the concept of unit measurement and extrapolation through a relatable and easily understandable image. #### Note: - **Important Calculation:** - The note included in the diagram specifies that the actual number of students in relation to the height of the model figure should be calculated. - This involves understanding that each smaller figure has a height that is a fraction of the 5-foot model, and thus, several smaller figures stacked together height-wise should match the height of the larger figure. By integrating visual aids like this diagram, educators can enhance the learning experience, making abstract mathematical concepts more tangible and relatable for students.
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