a. The net work done by gravity on the cyclist.
b. The speed of the cyclist.
Answer to Problem 83GP
Solution:
a. The work done by gravity is
b. The speed of the cyclist is
Explanation of Solution
Given:
The inclination of the hill is
The mass of the cyclist is 85 kg.
The cyclist travels 180 m along the inclined plane.
Formula used:
To calculate the work done by gravity on the cyclist, the height h , which the cyclist travels, must be calculated from the data given.
The work done by gravity is,
To calculate the final velocity of the cyclist, one uses the
Here, s is the distance moved and a is the acceleration.
Calculations:
Part a
Thework done by gravity:
Part b The acceleration of the cyclist along the inclined plane is:
From the kinematics equation:
Conclusion:
a. The work done by gravity is 10.5 kJ.
b. The speed of the cyclist is 15.5 m/s.
Chapter 6 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
College Physics: A Strategic Approach (3rd Edition)
Conceptual Physical Science (6th Edition)
Modern Physics
Applied Physics (11th Edition)
Conceptual Integrated Science
Essential University Physics: Volume 2 (3rd Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON