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Q1. As part of an interview for the summer job with the Coast Guard, you are asked to help determine the search area for two sunken ships by calculating their velocity just after they collided. According to the last radio transmission from the 40,000 ton luxury liner, the Hedonist, it was going due west at a speed of 20 knots in calm seas during a rare fog just before it was struck broadside by the 60,000 ton freighter, the Ironhorse, which was travelling north at ten knots. The transmission also noted that when the freighter's bow pierced the hull of the liner, the two ships stuck together and sank together.
Q2. A 48.21 {rm kg} ice skater spins about the vertical axis through her body with her arms horizontally outstretched, making 2.20 turns each second. The distance from one hand to the other is 1.5 {rm m}. Biometric measurements indicate that each hand naturally makes up about 1.25 % of body weight.
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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