A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR²/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s 4.75 h = ? + m/s X-

College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter10: Rotational Motion And Angular Momentum
Section: Chapter Questions
Problem 5CQ: The moment of inertia of a long rod spun around an axis through one end perpendicular to its length...
icon
Related questions
Question

1.A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by
I = 2MR2 /3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters?

Problem 2
A ball is initially rolling along the ground with a linear speed of 4.75 meters per second
(m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is
reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by
I = 2MR?/3. Assume the total mechanical energy of the ball is conserved, and it rolls
without slipping the whole time. What is the height of the hill, in meters?
2.05
m/s
4.75
h = ?
m/s
Transcribed Image Text:Problem 2 A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR?/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s 4.75 h = ? m/s
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Rotational Kinetic energy
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.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University