A ball with an initial velocity of 8.00 m/s rolls up a

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Problem 28PE Chapter 10

Physics: Principles with Applications | 6th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

Physics: Principles with Applications | 6th Edition

4 5 0 245 Reviews
12
1
Problem 28PE

A ball with an initial velocity of 8.00 m/s rolls up a hill without slipping. Treating the ball as a spherical shell, calculate the vertical height it reaches. (b) Repeat the calculation for the same ball if it slides up the hill without rolling.

Step-by-Step Solution:

Step-by-step solution Step 1 of 3 The ball is similar to a spherical shell and the rotational kinetic energy is converted into the potential energy of the ball, which is equated as, Step 2 of 3 (a) Kinetic energy of the ball is, Here, is the moment of inertia of the ball and is the angular velocity of the ball. The moment of inertia of the spherical shell (ball) is, Here is the mass of the ball, is the radius of the shell, The rotational kinetic energy of the ball is equal to the potential energy. Also the linear velocity is given as, The potential energy of the ball after getting the vertical height is, Here is the gravitational acceleration of the ball, is the height of the ball. Substitute, the kinetic energy and potential energy of the ball and 8m/s for v as, So, the height attained by the ball is .

Step 3 of 3

Chapter 10, Problem 28PE is Solved
Textbook: Physics: Principles with Applications
Edition: 6th
Author: Douglas C. Giancoli
ISBN: 9780130606204

×
Log in to StudySoup
Get Full Access to Physics: Principles With Applications - 6th Edition - Chapter 10 - Problem 28pe

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Physics: Principles With Applications - 6th Edition - Chapter 10 - Problem 28pe
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here