Particles 1 and 2 of equal mass are thrown vertically upwards at the same initial velocity vo in a constant gravitational field. Particle 1 is under a negligible air resistance fr = 0 while Particle 2 experiences a resistance of the form fr = mov, where m is the particle's mass, a is a positive constant, and v is the particle's velocity at any point in time. Show that the ratio (t2/t1) of the times required for the particles to reach maximum height is given by t2 = 1- avo + O 2g avo ti 2g where O denotes higher order terms. In the limit a → 0, your result for t2 must approach t1.

Particles 1 and 2 of equal mass are thrown vertically upwards at the same initial velocity vo in a constant gravitational field. Particle 1 is under a negligible air resistance fr = 0 while Particle 2 experiences a resistance of the form fr = mov, where m is the particle's mass, a is a positive constant, and v is the particle's velocity at any point in time. Show that the ratio (t2/t1) of the times required for the particles to reach maximum height is given by t2 = 1- avo + O 2g avo ti 2g where O denotes higher order terms. In the limit a → 0, your result for t2 must approach t1.

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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