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Two ships, A and B, leave port at the same time. Ship A travels northwest at 20 knots and ship B travels at 28 knots in a direction 37° west of south. (1 knot = 1 nautical mile per hour;) What are
(a) the magnitude (in knots) and
(b) direction (measured relative to east) of the velocity of ship A relative to B?
(c) After how many hours will the ships be 150 nautical miles apart?
(d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees. Round your angles to the nearest degree.)
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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