Air resistance, revisited. In the region below, there is a uniform magnetic fiel

Question

Air resistance, revisited. In the region below, there is a uniform magnetic field of size 5 T, pointing out of the page, in which there is a circuit with a resistance R =30 s (Why not ask for the time it takes to reach terminal velocity fully?)s-1 Finally, use your function to find the time it will take to reach 95% of terminal velocity: m/s e.)Show that the acceleration of the bar as a function of time is in the following form: a(t) = g -?½v(t) Then find the value for the constant?, in terms of the terminal velocity and known constants. (Hint: You can do this the short way or the long way.) ?=V d.)What is the terminal velocity of the bar?A c.)What emf must produce this induced current?in the circuit (Is this consistent with Lenz's Law?) How much is this current?in the bar, and so clockwise Back to Physics II... b.)This means current must flow: to the leftN, dir:upwardsN and so the magnetic force on it must be: size: a.)Dusting off your Physics I notes... if the bar no longer accelerates, then the net force on it is of size:oriented v

Explanation / Answer

you need to integrate the given function

you will get

(t = -rac{1}{c}log rac{g-cv}{g})

where c = 2.18778

terminal v = 4.41 m/s

so,95% is v = 4.19

thus,

t = 0.543785909

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