Answered: Find the particle's horizontal position…

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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Problem

Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag force is expressed as

F_drag = kmv

where, k is a constant, m is the mass of the particle and v is its velocity. Consider that the particle is initially traveling with a velocity v0.

To solve for the position as a function of time x(t), construct the net force in the x-axis.

Further, employ the rules of integration results to the following expression for position as a function of time.

To solve for the velocity as a function of position v(x), we construct the net force in the x-axis, then, eliminate time by expressing, the velocity on the left side of the equation.

By integrating and applying the limits, we then shall arrive with a velocity that decreases in a linear maner.

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