Bungee Cord Escape. You are running from pirates on a tropical island somewhere in the Caribbean. You had somehow become separated from the rest of your group and now find yourself on the edge of cliff with your pursuers less than 10 minutes behind you. According to a sign posted on the guardrail at the cliff's edge, the drop to the beach below is h = 145 ft. Your team members (waiting for you on the beach, near your boat) have a rope, but there is no time for anyone to climb the cliff to save you. You break into a deserted cabin nearby, and rummage around for a rope. Instead, you find a brand new, still-in-package, bungee cord that must have been intended for tourists jumping from a nearby bridge. You figure you might be able to attach it to the guardrail and jump to the beach, letting go at the bottom before it reverses your motion. You read the bungee cord specifications on the package: the total length of the cord is Lo = 100 ft, the maximum elastic deformation is 200% (i.e., it can safely triple its length), and the elastic constant is k = 80.0 N/m. (a) If you weigh 165 lb, how far is the bungee cord designed to let you fall before it stops you and reverses your direction? Will this afford you a safe landing? (b) You realize that you don't have to hang from the very end of the bungee, but rather from some point in the middle. From where should you grasp the bungee cord so that you land softly on the beach? (Determine at what distance from the end of the cord the point of grasp is to be.) Will you be able to perform the jump and stay under the elastic deformation limit? (a) Number i (b) Number ◆ Units Units ✪ ✪ ✪

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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$**Bungee Cord Escape** *Scenario:* You are running from pirates on a tropical island somewhere in the Caribbean. You had somehow become separated from the rest of your group and now find yourself on the edge of a cliff with your pursuers less than 10 minutes behind you. According to a sign posted on the guardrail at the cliff’s edge, the drop to the beach below is $ h = 145 $ ft. Your team members (waiting for you on the beach, near your boat) have a rope, but there is no time for anyone to climb the cliff to save you. You break into a deserted cabin nearby, and rummage around for a rope. Instead, you find a brand new, still-in-package, bungee cord that must have been intended for tourists jumping from a nearby bridge. You figure you might be able to attach it to the guardrail and jump to the beach, letting go at the bottom before it reverses your motion. You read the bungee cord specifications on the package: the total length of the cord is $ L_0 = 100 $ ft, the maximum elastic deformation is 200% (i.e., it can safely triple its length), and the elastic constant is $ k = 80.0 $ N/m. *(a)* If you weigh 165 lb, how far is the bungee cord designed to let you fall before it stops you and reverses your direction? Will this afford you a safe landing? *(b)* You realize that you don’t have to hang from the very end of the bungee, but rather from some point in the middle. From where should you grasp the bungee cord so that you land softly on the beach? (Determine at what distance from the end of the cord the point of grasp is to be.) Will you be able to perform the jump and stay under the elastic deformation limit? - **(a)** [Input box for answer] Units: [Dropdown] - **(b)** [Input box for answer] Units: [Dropdown]$

Transcribed Image Text:**Bungee Cord Escape** *Scenario:* You are running from pirates on a tropical island somewhere in the Caribbean. You had somehow become separated from the rest of your group and now find yourself on the edge of a cliff with your pursuers less than 10 minutes behind you. According to a sign posted on the guardrail at the cliff’s edge, the drop to the beach below is $ h = 145 $ ft. Your team members (waiting for you on the beach, near your boat) have a rope, but there is no time for anyone to climb the cliff to save you. You break into a deserted cabin nearby, and rummage around for a rope. Instead, you find a brand new, still-in-package, bungee cord that must have been intended for tourists jumping from a nearby bridge. You figure you might be able to attach it to the guardrail and jump to the beach, letting go at the bottom before it reverses your motion. You read the bungee cord specifications on the package: the total length of the cord is $ L_0 = 100 $ ft, the maximum elastic deformation is 200% (i.e., it can safely triple its length), and the elastic constant is $ k = 80.0 $ N/m. *(a)* If you weigh 165 lb, how far is the bungee cord designed to let you fall before it stops you and reverses your direction? Will this afford you a safe landing? *(b)* You realize that you don’t have to hang from the very end of the bungee, but rather from some point in the middle. From where should you grasp the bungee cord so that you land softly on the beach? (Determine at what distance from the end of the cord the point of grasp is to be.) Will you be able to perform the jump and stay under the elastic deformation limit? - **(a)** [Input box for answer] Units: [Dropdown] - **(b)** [Input box for answer] Units: [Dropdown]

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