Concept explainers
Find the amount of work required to lift a 100-kilogram object 1.5 meters.
Answer to Problem 73E
The amount of work required to lift a 100-kilogram object 1.5 meters is 1470 joules
Explanation of Solution
Given:
Work done W in lifting an object depends upon mass m to be lift and height h to be liftedExplanation:
Work done W in lifting an object depends upon mass m to be lift and height h to be lifted. Let's calculate a formula calculating constant of proportionality using the fact 2116.8 joules of work has been done while lifting an object of 120 kilograms to a height of 1.8 meter. Finally calculate work done in lifting an object of 100 kilogram to a height of 1.5 meter.
As work done W jointly varies as mass m and height h mathematical model for work done can be written.
Where
Using data let's calculate constant of proportionality.
Now calculate work done for lifting 100-kilogram mass to a height of 1.5 meter.
So, work done for given data is 1470 joules.
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