×
Log in to StudySoup

Forgot password? Reset password here

Inside a starship at rest on the earth, a ball rolls off

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 15E Chapter 3

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 0 419 Reviews
20
3
Problem 15E

Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance D from the foot of the table. This starship now lands on the unexplored Planet X. The commander, Captain Curious, rolls the same ball off the same table with the same initial speed as on earth and finds that it lands a distance 2.76 D from the foot of the table. What is the acceleration due to gravity on Planet X?

Step-by-Step Solution:

Solution 15E Step 1: 0 This problem can be considered as a projectile motion fired at an angle of 0 grom a height of “h”. So, x0= 0and y = o which are the horizontal and vertical displacements of the ball. Again, x = v0t --------------(1) 2 and y = h 1/2 gt -----------------(2) When the ball reaches the bottom, the vertical displacement can be set to zero. So, 2 y = h 1/2 gt = 0 2 h = 1/2 gt t = gh----------------(3) This is the time required for the ball to reach the ground. Step 2: From equation (1), we can deduce “t” as a function of x, t = x/v -----------------(4) 0 Let’s put this value in equation (2), y = h 1/2 gt = h 1/2 × g × ( ) . v0 Again by setting y = 0, we can get a very useful result which will tell us about the horizontal range. I.e; 2 h 1/2 × g × (v) = 0 0 x 2 h = 1/2 × g × ( )0 x = 2hv ---------------(5) g 0

Step 3 of 3

Chapter 3, Problem 15E is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Inside a starship at rest on the earth, a ball rolls off

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

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