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Consider a hoop of mass 2.1 kg and radius 0.57 m that rolls without slipping down an incline. The hoop starts at rest from a height h = 2.6 m above the bottom of the incline and then rolls to the bottom.
a) What forces act on the hoop? (Select all that apply.)
Centripetal force, normal force, friction, and/or gravity.
b) Which of these forces do work on the hoop? (Select all that apply.)
c) What is the total initial mechanical energy of the hoop? Take the zero of potential energy to be at the bottom of the incline.
d) If the hoop's speed at the bottom of the incline is vf, what is its mechanical energy? Express your answer in terms of vf. (use variables only).
e) Solve for vf.
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A solenoid is to be constructed that will have a resistance of 5.00 ohms and produce a magnetic field of 0.0400 T at its center when it carries a current of 4.00 A. The solenoid will be made of wire that is 0.500 mm in diameter and have a radius that..
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