8. A dart of mass m is accelerated horizontally through a tube of length L situated a height h above the ground by a constant force F. Upon exiting the tube, the dart travels a horizontal distance Ax before striking the ground, as depicted in the diagram below. h Ax (a) Develop an expression for the velocity of the dart, v, as it leaves the tube in terms of Ax, h, and any fundamental constants. (b) Derive an expression for the kinetic energy of the dart as it leaves the tube in terms of m, Ax, h, and any fundamental constants. (c) Derive an expression for the work done on the dart in the tube in terms of F and L. (d) Derive an expression for the height of the tube above the ground in terms of m, Ax, L, F, and any fundamental constants.
8. A dart of mass m is accelerated horizontally through a tube of length L situated a height h above the ground by a constant force F. Upon exiting the tube, the dart travels a horizontal distance Ax before striking the ground, as depicted in the diagram below. h Ax (a) Develop an expression for the velocity of the dart, v, as it leaves the tube in terms of Ax, h, and any fundamental constants. (b) Derive an expression for the kinetic energy of the dart as it leaves the tube in terms of m, Ax, h, and any fundamental constants. (c) Derive an expression for the work done on the dart in the tube in terms of F and L. (d) Derive an expression for the height of the tube above the ground in terms of m, Ax, L, F, and any fundamental constants.
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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