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 = -mkv²î ,where kis 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 = -mkv²î ,where kis 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.
Chapter12: Relativity, Particle Physics, And Cosmology
Section: Chapter Questions
Problem 19Q
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