{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Physics 2 - PROBLEM SET 29.1-3 Are Coulomb Forces...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PROBLEM SET 29.1-3 “Are Coulomb Forces Conservative?” As you may recall from mechanics, some forces have a very special property, namely, that the work done on an object does not depend on the object's trajectory; rather, it depends only on the initial and the final positions of the object. Such forces are called conservative forces. If only conservative forces act within a closed system, the total amount of mechanical energy is conserved within the system (hence the term "conservative"). Such forces have a number of properties that simplify the solution of many problems. You may also recall that a potential energy function can be defined with respect to a conservative force: This property of conservative forces will be of particular interest of us. Not all forces that we deal with are conservative, of course. For instance, the amount of work done by the frictional force (or any other kind of frictional force) very much depends on the object's trajectory. Friction, therefore, is not a conservative force. On the other hand, the gravitational force and the normal force are examples of conservative forces. What about electrostatic (Coulomb) forces? Are they conservative? Is there a potential energy function associated with an electrostatic field? Let us try to find out. In this problem, you will be asked to use the given diagram to calculate the work done by the electric field r E on a particle of charge q and see for yourself whether that work appears to be trajectory-independent. You will use the formula for Coulomb force r F = q r E and the definition of work. A reminder: The work W done by a constant force can be found as W = r F r d cos θ where r F is the magnitude of the force acting on the object, r d is the magnitude of the displacement that the object undergoes, and θ is the angle between the vectors r F and r d .
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern