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A bathysphere used for deep-sea exploration has a radius of 1.52 m and a mass of 1.23 x 104 kg. In order to dive, this submarine takes on mass in the form of sea water. Determine the amount of mass that the submarine must take on if it is to descend at a constant speed of 1.00 m/s, when the resistive force on it is 1105 N in the upward direction. Take 1.03 x 103 kg/m3 as the density of seawater.
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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