A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0.du1. Using the change of variables = V find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m.7dxv(x) =ASPdvdt2. Calculate the distance travelled by the particle before coming to a stop.

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Description: A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0.du1. Using the change of variables = V find the velocity of the particle as a func

Velocity of particle= v(t)=v in forward x direction Resistance force working on the particle= F= 4mv…

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A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du dt 1. Using the change of variables = V dv dx , find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. v(x) = 2. Calculate the distance travelled by the particle before coming to a stop. x =

A particle of mass m moves in a straight line wih velocity v(t), subject only to a linear air resistance F = -4mv. Assume the particle starts with velocity u in x = 0. du dt 1. Using the change of variables = V dv dx , find the velocity of the particle as a function of its position, x, the initial velocity, u, and its mass, m. v(x) = 2. Calculate the distance travelled by the particle before coming to a stop. x =

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.6P

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