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An enemy ship is on the east side of a mountainous island. The enemy ship can maneuver to within 2500 m of the 1800 m high mountain peak and can shoot projectiles with an initial speed of 250 meter per second. If western shoreline is horizontally 300 m from the peak, find what are the distances from the western shore at which a ship can be safe from the bombardment of the enemy ship?
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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