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A brush fire is burning on a rock ledge on one side of a ravine that is 30 m wide. A fire truck sits on the opposite side of the ravine at an elevation 4.5 m above the burning brush. The fire hose nozzle is aimed 35 degrees above horizontal, and the firefighters control the water velocity by adjusting the water pressure. Because the water supply at a wilderness fire is limited, the firefighters want to use as little as possible. At what speed should the stream of water leave the hose so that the water hits the fire on the first shot?
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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