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An accurate clock is kept in a laboratory located on the equator of the Earth, and two identical clocks are placed aboard two aircraft flying at 250 m/s (ground speed) in the eastward and westward directions around the equator. Taking into account the rotation of the earth, calculate the difference that accumulates between the laboratory clock and each of the two flying clocks upon one trip around the Earth. (Hint: Consider the three clocks from the point of view of an inertial reference frame centered on the Earth, but not rotating with it.)
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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