A particle has a function for Potential Energy as shown below. U = (7.30 J/m1) x1 + (9.40 J/m4) x4 What is the force on the particle at a position x = 10.00 m?

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)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
Potential Energy - Calculus
There is a relationship between Work, Potential Energy and Force. You have looked
at Force and Work already - here we are going to look at Potential Energy and Force.
An object can have a Potential Energy function that is dependent on position (springs
are a very simple form of this). More commonly you see this in atoms and molecules
(the function is based on the interactions between electromagnetic forces and even
more advanced ones).
A particle has a function for Potential Energy as shown below.
U (7.30 J/m?) x² + (9.40 J/m4) xª
%3D
What is the force on the particle at a position x = 10.00 m?
*Always do the calculus first before plugging in numbers. Be careful about the signs
in the mathematical definition.
Your answer should include the following:
O Decimal Places (whole number)
Correct SI Units
Appropriate sign (only needed for negative answers)
Answers must be in the following format:
Written out and NOT in scientific notation
Acceptable: 278.40
Not Acceptable: 2.784 x 102
Your Answer:
Answer
units
Transcribed Image Text:Potential Energy - Calculus There is a relationship between Work, Potential Energy and Force. You have looked at Force and Work already - here we are going to look at Potential Energy and Force. An object can have a Potential Energy function that is dependent on position (springs are a very simple form of this). More commonly you see this in atoms and molecules (the function is based on the interactions between electromagnetic forces and even more advanced ones). A particle has a function for Potential Energy as shown below. U (7.30 J/m?) x² + (9.40 J/m4) xª %3D What is the force on the particle at a position x = 10.00 m? *Always do the calculus first before plugging in numbers. Be careful about the signs in the mathematical definition. Your answer should include the following: O Decimal Places (whole number) Correct SI Units Appropriate sign (only needed for negative answers) Answers must be in the following format: Written out and NOT in scientific notation Acceptable: 278.40 Not Acceptable: 2.784 x 102 Your Answer: Answer units
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON