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One afternoon, you are playing on a wooden basketball court with a hula?hoop to amuse yourself. The hoop has a mass of 500g and a radius of 55 cm. After practicing a bit, you find that you can launch the hoop so that its plane is vertical, it isn't rotating before it hits the floor, and it doesn't bounce after hitting the floor. For these launch conditions, the hoop's CM moves initially with a speed of 3 m/s along the floor. You notice that as the hoop slips along the floor it begins to rotate, and that just before it hits the far wall 20 m away from the launch point, it "catches" and begins to roll without slipping.
(a) What is the coefficient of kinetic friction between the hoop and the floor?
(b) What is the hoop's speed just before it hits the wall?
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0.0029 J of energy are stored in a parallel-plate capacitor whose plates each have area 0.30 m2 and are 1.5 mm apart
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