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Q1. An elevator cab in the New York Marriott Marquis has a mass of 4.43 x 10^3 kg and can carry a maximum load of 1.80 x 10^3 kg. If the cab is moving upward at full load at 3.60 m/s, what power is required of the force moving the cab to maintain that speed?
Q2. A thin, flexible metal plate attached at one end to the platform, can be used to measure mass. When the free end of the plate is pulled down and released, it vibrates in simple harmonic motion with a period that depends on the mass attached to the plate. To calibrate the force constant, objects of known mass are attached to plate and plate is vibrated, obtaining the data.
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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