![PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37](https://www.bartleby.com/isbn_cover_images/9780134378060/9780134378060_largeCoverImage.gif)
Concept explainers
Stretchable ropes ate used to safely arrest the fall of rock climbers. Suppose one end of a rope with unstretched length ℓ is anchored to a cliff and a climber of mass m is attached to the other end. When the climber is a height ℓ above the anchor point, he slips and falls under the influence of gravity for a distance 2ℓ, after which the rope becomes taut and stretches a distance x as it stops the climber (see Fig. 7–33). Assume a stretchy rope behaves as a spring with spring constant k. (a) Applying the work-energy principle, show that
(b) Assuming m = 85 kg, ℓ = 8.0 m and k = 850 N/m, determine x/ℓ (the fractional stretch of the rope) and kx/mg (the force that the rope exerts on the climber compared to his own weight) at the moment the climber’s fall has been stopped.
FIGURE 7–33
Problem 90.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 7 Solutions
PHYSICS F/SCI.+ENGR.,CHAPTERS 1-37
Additional Science Textbook Solutions
Campbell Essential Biology (7th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Chemistry: Structure and Properties (2nd Edition)
Biology: Life on Earth with Physiology (11th Edition)
Applications and Investigations in Earth Science (9th Edition)
- A person is running a temperature of 41.0°C. What is the equivalent temperature on the Fahrenheit scale? (Enter your answer to at least three significant figures.) °Farrow_forwardWhat is the period of a rock of mass 2.0kg tied to the end of a spring 0.625m long string that hangs in a doorway and has an elastic constant of 40N/m?arrow_forwardGive an example of friction speeding up an object.arrow_forward
- Which is the higher temperature? (Assume temperatures to be exact numbers.) (a) 272°C or 272°F? 272°C 272°F They are the same temperature. (b) 200°C or 368°F? 200°C 368°F They are the same temperature.arrow_forwardWhat is the direction of a force vector given by ~v = −6Nˆi − 8Nˆj?arrow_forwardWhat can be said of the position vector of an object far from any influences on its motion?arrow_forward
- ་ Consider a ball sliding down a ramp as shown above. The ball is already in motion at the position 1. Which direction best approximates the direction of acceleration vector a when the object is at position 2?arrow_forwardPlease solve and answer the question correctly please. Thank you!!arrow_forwardPlease solve and answer the question correctly please. Thank you!!arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780534408961/9780534408961_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133104261/9781133104261_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781133939146/9781133939146_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305116399/9781305116399_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168277/9781938168277_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)