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Q. A stone is dropped at t = 0. A second stone, with 2 times the mass of the first, is dropped from the same point at t = 190 ms. (a) How far below the release point is the center of mass of the two stones at t = 390 ms? (Neither stone has yet reached the ground.) (b) How fast is the center of mass of the two-stone system moving at that time?
Q. A floppy disk for a personal computer rotates with a constant angular speed of 31.4 rad/s about an axis perpendicular to the disk at its center. (a) Find the tangential speed of a point that is 0.0410 m from the center of the disk. (b) What is the magnitude of the centripetal acceleration at this point?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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