Concept explainers
Find the maximum weight for which the toy works properly.
Answer to Problem 67E
The toy can work properly for a maximum of 39.5-pound weight.
Explanation of Solution
Given:
For a weight of 25 pound if there is a compression of 1.9 inches
Hooke's law says that compression of spring is directly proportional to force applied. If force applied is in terms of weight of child W in a toy than compression y depends upon weight. For a weight of 25 pound if there is a compression of 1.9 inches than can formulate a linear model based on which let's calculate compression for any weight or visa versa.
Using Hooke's law linear model for compression of spring in toy is
So using Hooke's law for this spring a compression of 3 inches can be generated by a weight w given as
So toy can work properly for a maximum of 39.5 pound weight.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning