A solid sphere of ice and a solid sphere of plastic are placed at the top of an inclined plane of length L and simultaneously released from rest, as shown in (Figure 1). Each has mass m and radius R. Assume that the coefficient of friction between the ice sphere and the incline is zero and that the plastic sphere rolls down the incline without slipping. Derive expressions for the following quantities in terms of L, 0, m, and R: (a) the total kinetic energy of each sphere at the bottom of the incline; (b) the translational speed of each sphere at the bottom of the incline; (c) the translational kinetic energy of each sphere at the bottom of the incline; (d) the rotational kinetic energy of each sphere at the bottom of the incline. Figure < 1 of 1 Part B Write an expression for the kinetic energy of the ice sphere in terms of its translational speed v. Express your answer in terms of some or all of the variables m, R, and v. ▾ View Available Hint(s) Hint 1. Translational kinetic energy Kinetic energy of an object moving without rotation equals its translational kinetic energy. Kice = Submit Part C [ΨΕΙ ΑΣΦ Kplastic = Request Answer Write an expression for the kinetic energy of the plastic sphere in terms of its translational speed v. Express your ans in terms of some or all of the variables R. and v. View Available Hint(s) ΠΫΠΙ ΑΣΦ ? 3 ?
A solid sphere of ice and a solid sphere of plastic are placed at the top of an inclined plane of length L and simultaneously released from rest, as shown in (Figure 1). Each has mass m and radius R. Assume that the coefficient of friction between the ice sphere and the incline is zero and that the plastic sphere rolls down the incline without slipping. Derive expressions for the following quantities in terms of L, 0, m, and R: (a) the total kinetic energy of each sphere at the bottom of the incline; (b) the translational speed of each sphere at the bottom of the incline; (c) the translational kinetic energy of each sphere at the bottom of the incline; (d) the rotational kinetic energy of each sphere at the bottom of the incline. Figure < 1 of 1 Part B Write an expression for the kinetic energy of the ice sphere in terms of its translational speed v. Express your answer in terms of some or all of the variables m, R, and v. ▾ View Available Hint(s) Hint 1. Translational kinetic energy Kinetic energy of an object moving without rotation equals its translational kinetic energy. Kice = Submit Part C [ΨΕΙ ΑΣΦ Kplastic = Request Answer Write an expression for the kinetic energy of the plastic sphere in terms of its translational speed v. Express your ans in terms of some or all of the variables R. and v. View Available Hint(s) ΠΫΠΙ ΑΣΦ ? 3 ?
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
Concept explainers
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
Question
Help with parts B & C would be great, thanks!
Transcribed Image Text:A solid sphere of ice and a solid sphere of plastic are placed
at the top of an inclined plane of length I and
simultaneously released from rest, as shown in (Figure 1).
Each has mass m and radius R. Assume that the coefficient
of friction between the ice sphere and the incline is zero and
that the plastic sphere rolls down the incline without slipping.
Derive expressions for the following quantities in terms of L,
0, m, and R: (a) the total kinetic energy of each sphere at
the bottom of the incline; (b) the translational speed of each
sphere at the bottom of the incline; (c) the translational
kinetic energy of each sphere at the bottom of the incline; (d)
the rotational kinetic energy of each sphere at the bottom of
the incline.
Figure
1 of 1
Part B
Write an expression for the kinetic energy of the ice sphere in terms of its translational speed v.
Express your answer in terms of some or all of the variables m, R, and v.
View Available Hint(s)
Kice
Hint 1. Translational kinetic energy
Kinetic energy of an object moving without rotation equals its translational kinetic energy.
=
Submit
Part C
Kplastic
Submit
-- ΑΣΦ
Write an expression for the kinetic energy of the plastic sphere in terms of its translational speed v.
Express your answer in terms of some or all of the variables m, R, and v.
► View Available Hint(s)
=
Request Answer
?
VE ΑΣΦ
?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
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