1. Find the force for each of the following potential energy functions: (a) V = cxyz + C (b) V = ax² + By² + yz² + C 2. By finding the curl, determine which of the following forces are conservative: (a) F = ix + jy + kz (b) F-ty-jx + kz³ 3. A gun is located at the bottom of a hill of constant slope p. Show that the range of the gun measured up the slope of the hills is 2v cos a sin(a - b) gcos² where a is the angle of elevation of the gun, and that the maximum value of the slope range is vo g(1 + sind)

1. Find the force for each of the following potential energy functions: (a) V = cxyz + C (b) V = ax² + By² + yz² + C 2. By finding the curl, determine which of the following forces are conservative: (a) F = ix + jy + kz (b) F-ty-jx + kz³ 3. A gun is located at the bottom of a hill of constant slope p. Show that the range of the gun measured up the slope of the hills is 2v cos a sin(a - b) gcos² where a is the angle of elevation of the gun, and that the maximum value of the slope range is vo g(1 + sind)

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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