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1. Centrifuges are commonly used in biological laboratories for the isolation and maintenance of cell preparations. For cell separation, assume centrifugation conditions that are 1.00 x 103 rpm using an 8.31-cm-radius rotor. What is the radial acceleration of material in the centrifuge under these conditions? Express your answer as a multiple of g. Do not enter unit.
2. At 1.00 x 103 rpm (and with a 8.31-cm rotor) what is the net force on a red blood cell whose mass is 9.12 x 10-14 kg?
3. What is the net force on a virus particle of mass 4.95 x 10-21 kg under the same conditions?
4. To pellet out virus particles and even to separate large molecules such as proteins, super-high-speed centrifuges called ultracentrifuges are used in which the rotor spins in a vacuum to reduce heating due to friction. What is the radial acceleration inside an ultracentrifuge at 75500 rpm with an 8.31-cm rotor? Express your answer as a multiple of g. Do not enter unit.
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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