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A construction crew pulls up an 87.5-kg load using a rope thrown over a pulley and pulled by an electric motor. They lift the load 20.3 m and it arrives with a speed of 15.6 m/s having started from rest. Assume that acceleration was not constant.
(a) How much work was done by the motor?
(b) How much work was done by gravity?
(c) What constant force could the motor have exerted to cause this motion?
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.
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