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Q. One of the tenets of the pseudoscience (i.e., "false science") of astrology is that, in some mysterious way, positions of the planets at the time of a person's birth somehow influence the characteristics of that person. To see if this proposition seems plausible, let us compare the gravitational influence of Mars when it is closest to earth with the gravitational influence of the medical doctor who delivers a baby. For a rough calculation, we shall assume that the doctor is 50 from the baby (she is likely to be even closer at delivery), has a mass of 75.00, and can be modelled as a uniform sphere.
Calculate the ratio of the gravitational force the doctor exerts on the baby to the gravitational force that Mars exerts on the baby.
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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