3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor. (a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE PE, APE (b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 73AP: A mysterious force acts on all particles along a particular line and always points towards a...
icon
Related questions
Topic Video
Question
Figure 9.10: An athlete exerts a force on a soccer ball as a function of distance.
3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor.
(a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final
gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show
your work.
PE
PE,
APE
(b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational
potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the
gravitational potential energy. Show your work.
PE,
PE,
APE
(c) Docs the gravitational potential energy at the initial and final points depend upon the location of the origin of the coordinate
system?
(d) Does the change in gravitational potential energy depend on the location of the origin of the coordinate system?
(e) Use conservation of mechanical energy and show symbolically (use variables, not numbers, other than %) that the final speed
of the book depends on the change in gravitational potential energy, and hence is independent of your choice of coordinate
system origin.
Transcribed Image Text:Figure 9.10: An athlete exerts a force on a soccer ball as a function of distance. 3. A 1.0 kg book initially at rest falls from a height of 1.5 m to the floor. (a) Set the origin of the coordinate system at the floor and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE PE, APE (b) Set the origin of the coordinate system at the starting point, 1.5 m above the floor, and calculate the initial gravitational potential energy, the final gravitational potential energy (just before the book hits the floor), and the change in the gravitational potential energy. Show your work. PE, PE, APE (c) Docs the gravitational potential energy at the initial and final points depend upon the location of the origin of the coordinate system? (d) Does the change in gravitational potential energy depend on the location of the origin of the coordinate system? (e) Use conservation of mechanical energy and show symbolically (use variables, not numbers, other than %) that the final speed of the book depends on the change in gravitational potential energy, and hence is independent of your choice of coordinate system origin.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Mechanical Work done
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill