A student performing the centripetal force experiment forgot to record some of t

Question

A student performing the centripetal force experiment forgot to record some of the data. When she did l the experiment, she found that the speed at which the accclcrated block separated from the magnet was teo 114 cm/s. She redid the experiment by reordering the magnet so that the maximum magnetic force for break away, Fe, was 3.25 times the original value, Fco. (a Please write the equation for the centripetal force in terms of Fico,m veo, and ro. (b) Please write the equation for the centripetal force in terms of new variables write equation that shows relationship between this equation and equation in part(a).(c) At what new speed will the accelerated block break away from the magnet? Please solve this problem using peed symbolic algebra

Explanation / Answer

vco = 1.14 m/s is the initial speed

Fc = 3.25 * Fco

(a) the centripital force , Fco = mto * vco^2/ro --(1)

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(b) for velocity vc . new force , Fc = mto * vc^2 /ro ----(2)

Fc = 3.25 * Fco .....(3)

solving 1, 2 3

3.25 * vco^2 = vc^2

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(c)

vc = sqrt( 3.25 * vco^2)

vc = sqrt( 3.25 * 1.14^2)

vc = 2.06 m/s is the speed at which the accelrated block break

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