+R NICH L no frictin M 4) In the diagram above, an isolated charged parallel-plate capacitor holding charge Q is arranged horizontally, with one plate flush with a frictionless surface. The capacitor has capacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectric constant k) inside the capacitor is attached to a hanging block (mass M) by a massless string routed over a frictionless pulley. The length of the capacitor plates and dielectric block is L along the direction of motion. Assume there is no friction between the dielectric and the capacitor plates. a. The blocks are initially at rest and the dielectric is initially completely inside the capacitor. Use conservation of mechanical energy to determine the speed v of the falling block at the moment the dielectric block completely exits the capacitor plates (in other words, determine a formula for the speed in terms of the various parameters that have been defined as algebraic variables).

+R NICH L no frictin M 4) In the diagram above, an isolated charged parallel-plate capacitor holding charge Q is arranged horizontally, with one plate flush with a frictionless surface. The capacitor has capacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectric constant k) inside the capacitor is attached to a hanging block (mass M) by a massless string routed over a frictionless pulley. The length of the capacitor plates and dielectric block is L along the direction of motion. Assume there is no friction between the dielectric and the capacitor plates. a. The blocks are initially at rest and the dielectric is initially completely inside the capacitor. Use conservation of mechanical energy to determine the speed v of the falling block at the moment the dielectric block completely exits the capacitor plates (in other words, determine a formula for the speed in terms of the various parameters that have been defined as algebraic variables).

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)...

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Question

L
no frictin
M
4) In the diagram above, an isolated charged parallel-plate capacitor holding charge Q is
arranged horizontally, with one plate flush with a frictionless surface. The capacitor has
capacitance Co when there is no dielectric inserted. The dielectric block (mass m, dielectric
constant k) inside the capacitor is attached to a hanging block (mass M) by a massless string
routed over a frictionless pulley. The length of the capacitor plates and dielectric block is L
along the direction of motion. Assume there is no friction between the dielectric and the
capacitor plates.
a. The blocks are initially at rest and the dielectric is initially completely inside the
capacitor. Use conservation of mechanical energy to determine the speed v of the
falling block at the moment the dielectric block completely exits the capacitor plates
(in other words, determine a formula for the speed in terms of the various
parameters that have been defined as algebraic variables).

b. Use your result from part a to find the minimum mass M required for the blocks to
begin to move. (Hint: speed squared must be a positive quantity)

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