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Firemen are shooting a stream of water at a burning building. A high-pressure hose shoots out the water with a speed of 23.0m/s as it leaves the hose nozzle. Once it leaves the hose, the water moves in projectile motion. The firemen adjust the angle of elevation of the hose until the water takes 3.10s to reach a building 37.0m away. You can ignore air resistance; assume that the end of the hose is at ground level.
Find the angle of elevation of the hose.
Find the speed of the water at the highest point in its trajectory.
Find the acceleration of the water at the highest point in its trajectory.
How high above the ground does the water strike the building?
How fast is it moving just before it hits the building?
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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