For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed v,. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet - - mkv? î, where k is a constant. The speed of the object after t = 0 is given by v = v;/(1 + kv,t). (a) Find the position x of the object as a function of time. (b) Find the object's velocity as a function of position.
For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed v,. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet - - mkv? î, where k is a constant. The speed of the object after t = 0 is given by v = v;/(1 + kv,t). (a) Find the position x of the object as a function of time. (b) Find the object's velocity as a function of position.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.37P: A particle of mass m has speed υ = α/x, where x is its displacement. Find the force F(x)...
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