Question

Calculate the work WAB done by the electrostatic force on a particle of charge q as it moves from A to B. Express your answer in terms of some or all the variables E, q, L, and ?.

Constants Learning Goal: To review the concept of conservative forces and to understand that electrostatic forces are, in fact, conservative. Calculate the work WAB done by the electrostatic force on a particle of charge q as it moves from A to B. Express your answer in terms of some or all the variables E., L, and a. ? View Available Hints) AD O ? 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. WaB Submit Part B Not all forces that we deal with are conservative, of course. For instance, the amount of work done by a frictional force very much depends on the object's trajectory. Friction, therefore, is not a conservative force. In contrast, the gravitational force is the most common example of a conservative force. What about electrostatic (Coulomb) forces? Are they conservative, and is there a potential energy function associated with them? Calculate the work WBC done by the electrostatic force on the charged particle as it moves from B to C. Express your answer in terms of some or all the variables E., L, and a. IVO ADO ? Figure < 1 of 1 WBC = WBC = Submit Request Answer Part Calculate the total amount of work WABC done by the electrostatic force on the charged particle as it moves from A to B to C. Express your answer in terms of some or all the variables E., L, and a. E AO O ? WABC =

Answer 1