A ball of mass m moves in a resisting medium that produces a friction force of magnitude kv2, where v is the ball's speed. If the ball is projected vertically upwards with initial speed u, show by dimensional analysis that when the ball returns to its point of projection, its speed w can be written in the form w = uf(\lambda), where \lambda ku2/mg. Integrate the equations of motion to show that f(\lambda) = (1 + \ lambda)-1/2. Discuss what happens in the two extremes \lambda >> 1, and \lambda << 1. Skip question Exit

A ball of mass m moves in a resisting medium that produces a friction force of magnitude kv2, where v is the ball's speed. If the ball is projected vertically upwards with initial speed u, show by dimensional analysis that when the ball returns to its point of projection, its speed w can be written in the form w = uf(\lambda), where \lambda ku2/mg. Integrate the equations of motion to show that f(\lambda) = (1 + \ lambda)-1/2. Discuss what happens in the two extremes \lambda >> 1, and \lambda << 1. Skip question Exit

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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