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An engineer is trying to determine the mass of a student who will barely touch the water when jumping off a bridge shown with an ideal bungee cord with a spring constant of 24N/m. The height of the bridge and natural length of the bungee cord are shown. Neglect drag, energy gained from the jump and loss due to impact with the water. 70m How much would the cord's length change in order to touch the water? List the energy types at the initial and final time and whether work and loss (due to non- 175m conservative forces) occur as well as the corresponding amounts of energy. initial: GPE J work? no work reference level loss? no loss V = final: EPE J What mass student would barely touch the water? kg Would a student with a mass of 89kg hit the water? yes

An engineer is trying to determine the mass of a student who will barely touch the water when jumping off a bridge shown with an ideal bungee cord with a spring constant of 24N/m. The height of the bridge and natural length of the bungee cord are shown. Neglect drag, energy gained from the jump and loss due to impact with the water. 70m How much would the cord's length change in order to touch the water? List the energy types at the initial and final time and whether work and loss (due to non- 175m conservative forces) occur as well as the corresponding amounts of energy. initial: GPE J work? no work reference level loss? no loss V = final: EPE J What mass student would barely touch the water? kg Would a student with a mass of 89kg hit the water? yes

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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### Determining the Mass of a Student for a Bungee Jump **Scenario:** An engineer is trying to determine the mass of a student who will barely touch the water when jumping off a bridge using an ideal bungee cord with a spring constant of 24 N/m. The height of the bridge and natural length of the bungee cord are shown. You should neglect drag, energy gained from the jump, and energy loss due to impact with the water. **Problem Statement:** 1. **Cord Length Change:** - How much would the cord's length change in order to touch the water? 2. **Energy Types:** - List the energy types at the initial and final time and whether work and loss (due to non-conservative forces) occur as well as the corresponding amounts of energy. 3. **Mass Determination:** - What mass student would barely touch the water? - Would a student with a mass of 89 kg hit the water? **Diagram Explanation:** To the right of the text, a diagram is presented: - The bungee jump set-up is illustrated with the following points: - **Bridge Height:** 175 meters above the reference level (the water surface). - **Natural Length of Bungee Cord:** 70 meters. - A student is shown in three stages: standing on the bridge, mid-fall, and at the lowest point touching the water without submersion. **Inputs and Selections:** 1. **Cord Length Change Input Box:** - An entry field labeled "l" with units in meters (m). 2. **Energy Types and Calculations:** - **Initial Gravitational Potential Energy (GPE):** Dropdown to select the value. - **Work Done:** Dropdown to select whether work occurs. - **Energy Loss:** Dropdown to select whether energy loss occurs. - **Final Elastic Potential Energy (EPE):** Entry field to input the value in joules (J). 3. **Mass Calculation:** - An entry field to input the student's mass in kilograms (kg). 4. **Mass Eligibility Check:** - Dropdown to select if a student with a mass of 89 kg would hit the water (yes/no option). **Questions & Answers:** - Users fill in the required fields based on given data and their calculations to determine: - The length change of the bungee cord. - Initial
Transcribed Image Text:### Determining the Mass of a Student for a Bungee Jump **Scenario:** An engineer is trying to determine the mass of a student who will barely touch the water when jumping off a bridge using an ideal bungee cord with a spring constant of 24 N/m. The height of the bridge and natural length of the bungee cord are shown. You should neglect drag, energy gained from the jump, and energy loss due to impact with the water. **Problem Statement:** 1. **Cord Length Change:** - How much would the cord's length change in order to touch the water? 2. **Energy Types:** - List the energy types at the initial and final time and whether work and loss (due to non-conservative forces) occur as well as the corresponding amounts of energy. 3. **Mass Determination:** - What mass student would barely touch the water? - Would a student with a mass of 89 kg hit the water? **Diagram Explanation:** To the right of the text, a diagram is presented: - The bungee jump set-up is illustrated with the following points: - **Bridge Height:** 175 meters above the reference level (the water surface). - **Natural Length of Bungee Cord:** 70 meters. - A student is shown in three stages: standing on the bridge, mid-fall, and at the lowest point touching the water without submersion. **Inputs and Selections:** 1. **Cord Length Change Input Box:** - An entry field labeled "l" with units in meters (m). 2. **Energy Types and Calculations:** - **Initial Gravitational Potential Energy (GPE):** Dropdown to select the value. - **Work Done:** Dropdown to select whether work occurs. - **Energy Loss:** Dropdown to select whether energy loss occurs. - **Final Elastic Potential Energy (EPE):** Entry field to input the value in joules (J). 3. **Mass Calculation:** - An entry field to input the student's mass in kilograms (kg). 4. **Mass Eligibility Check:** - Dropdown to select if a student with a mass of 89 kg would hit the water (yes/no option). **Questions & Answers:** - Users fill in the required fields based on given data and their calculations to determine: - The length change of the bungee cord. - Initial
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