ProblemFind the particle's horizontal position x(1) and velocity v(x) at any point in a fluid whase drag force is expressed asFarag- kmywhere, 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 vo.Solution:a) To salve for the position as a function of time x(1), we construct the net force in the x-axis asEF-FmThen:v- msince:a- dy/diLhenby integrating, we obtain the following expression:Further, employing the rules of integration results to the following expression for position as a function of tLimex- (voas t+ 0, the positian becomesx- vo/kb) To solve for the velocity as a function of position v(x), we construct the net force in the x-axis as followsF-- mThen:-miy- msince:a- dy/dtLhen-miy- mWe can eliminate time by expressing, the velacity on the left side of the equation asv- dx/dtThen, we arrive at the following expressionBy integrating and applying the limits, we arrive at the following-vowhich, sows that velacity decreases in a linear maner.

Given, free body diagram: Drag force, Fd=-kmv k = constant m = mass v = velocity At t = 0 s, v=v0…

Find the particle's haricontal position a() and velocity va) at any point in a fluid whose drag force is expressed as where, k is a constant, mis the mass of the particle and v is its velocity. Consider that the particle is initially traveling with a velocity vo. Solution: a) To salve for the position as a function of time x(), we construct the net force in the x-axis as

Find the particle's haricontal position a() and velocity va) at any point in a fluid whose drag force is expressed as where, k is a constant, mis the mass of the particle and v is its velocity. Consider that the particle is initially traveling with a velocity vo. Solution: a) To salve for the position as a function of time x(), we construct the net force in the x-axis as

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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