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 18N/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. 49m How much would the cord's length change in order to touch the water? m v List the energy types at the initial and final time and whether work and loss (due to non- 125m conservative forces) occur as well as the corresponding amounts of energy. initial: GPE unit work? no work v = unit v reference level loss? no loss unit final: EPE unit What mass student would barely touch the water? kg v Would a student with a mass of 31kg hit the water? no

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Author:Raymond A. Serway, Chris Vuille
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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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**Title: Bungee Jumping Physics Problem**

**Description:**

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 18 N/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.

**Problem:**

- How much would the cord's length change in order to touch the water?

  [Input Box] m
  
- 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.

  - initial: [Dropdown] GPE = [Input Box] unit
  - work? [Dropdown] no work = [Input Box] unit
  - loss? [Dropdown] no loss = [Input Box] unit
  - final: [Dropdown] EPE = [Input Box] unit

- What mass student would barely touch the water?

  [Input Box] kg
  
- Would a student with a mass of 31kg hit the water?

  [Dropdown] no

**Diagram Explanation:**

The diagram represents a vertical drop from a height of 125 meters above the water level. A bungee cord is illustrated, with an individual jumping off the bridge and falling towards the water. The natural length of the bungee cord is 49 meters, with the water marked as the reference level at the bottom. The illustration includes the stages from jumping to the point of touching the water surface, accompanied by the changing length of the stretched bungee cord.
Transcribed Image Text:**Title: Bungee Jumping Physics Problem** **Description:** 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 18 N/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. **Problem:** - How much would the cord's length change in order to touch the water? [Input Box] m - 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. - initial: [Dropdown] GPE = [Input Box] unit - work? [Dropdown] no work = [Input Box] unit - loss? [Dropdown] no loss = [Input Box] unit - final: [Dropdown] EPE = [Input Box] unit - What mass student would barely touch the water? [Input Box] kg - Would a student with a mass of 31kg hit the water? [Dropdown] no **Diagram Explanation:** The diagram represents a vertical drop from a height of 125 meters above the water level. A bungee cord is illustrated, with an individual jumping off the bridge and falling towards the water. The natural length of the bungee cord is 49 meters, with the water marked as the reference level at the bottom. The illustration includes the stages from jumping to the point of touching the water surface, accompanied by the changing length of the stretched bungee cord.
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