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A student ofmass m standsat one end of a long log of length l and mass M, which is floating on the campuspond at right angles tothe shore. Assume there is no friction between the logand the water.(a) What is the distance of the center of mass of the student-log system from the shore?(b) After the student walks toward theshore to the other end of the log, where is the center of mass relative to the shore?(c) How far isthe student fromthe shore?(d) Thestudent jumps off the log with speed v relative to the shore. With what speed anddirection does the log move?(e) What isthe speed of the center of mass of the student-log systemafter the student landson the shore and comes to rest? Explain.
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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