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Q. A child in danger of drowning in a river is carried downstream by a current that flows uniformly with a speed of 2.0 meters per second. The child is 200 meters from the shore and 1500 meters upstream from the wharf where the rescue team sets out. If their boat speed is 8.0 meters per second with respect to the water, at what angle should the driver leave the shore to go directly to the child?
Q. A uniform steel beam has a mass of 1800 kg. On it is resting half of an identical beam. What is the vertical support force at each end?
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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