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The acceleration due to gravity becomes weaker by about three parts in ten million for each meter of increased elevation above the Earth's surface. Suppose a skyscraper is 100 stories tall, with the same floor plan for each story and with uniform average density. Compare the location of the building's center of mass and the location of its center of gravity. a) Its center of gravity is higher by a distance of several millimeters. b) Its center of gravity is higher by a distance of several meters. c) its center of mass is higher by a distance of several millimeters d) Its center of mass and its center of gravity are in the same location. e) Its center of mass is higher by a distance of several meters.
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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