A bungee jumping company wants to set up a bungee jumping location on the top of a bridge that is 300 m above the ground. For safety reasons, the company wants to select a bungee cord spring constant such that a jumper with a mass of 115 kg will reach his lowest point – that is, the point when the change in gravitational potential energy equals the amount of energy stored in the bungee cord at the bottom of the jump at 50 m above the ground. What is the approximate spring constant the company should choose, assuming that air resistance, friction, and the weight of the cord can be ignored and that the cord immediately begins to stretch as soon as the jumper begins to fall? (Recall that g = 9.8 m/s)
A bungee jumping company wants to set up a bungee jumping location on the top of a bridge that is 300 m above the ground. For safety reasons, the company wants to select a bungee cord spring constant such that a jumper with a mass of 115 kg will reach his lowest point – that is, the point when the change in gravitational potential energy equals the amount of energy stored in the bungee cord at the bottom of the jump at 50 m above the ground. What is the approximate spring constant the company should choose, assuming that air resistance, friction, and the weight of the cord can be ignored and that the cord immediately begins to stretch as soon as the jumper begins to fall? (Recall that g = 9.8 m/s)
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)...
Related questions
Topic Video
Question
A bungee jumping company wants to set up a bungee jumping location on
the top of a bridge that is 300 m above the ground. For safety reasons, the
company wants to select a bungee cord spring constant such that a jumper
with a mass of 115 kg will reach his lowest point – that is, the point when the
change in gravitational potential energy equals the amount of energy stored
in the bungee cord at the bottom of the jump at 50 m above the ground.
What is the approximate spring constant the company should choose,
assuming that air resistance, friction, and the weight of the cord can be
ignored and that the cord immediately begins to stretch as soon as the
jumper begins to fall? (Recall that g = 9.8 m/s)
Expert Solution
Step 1
SOlution:
Given that
Mass of the jumper, m = 115 kg
Height of the bridge, H =300 m
Height of the jumper at the lowest point, h=50 m
So the extension in string is x = (300-50)=250 m
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON