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Q1. A 58.0 kg runner is standing on the outer edge of a horizontal turntable mounted on a frictionless axis through its center. The turntable has a radius of 2.90 m and moment of inertia 500 kg.m2 and is present at rest. The runner starts his run along the outer edge and is observed to run with a speed, relative to the earth, of 5.60 m/s. If he runs for 60 sec, how many revolutions does turntable make?
Q2. A ship sets out to sail to a point 197 km due north. An unexpected storm blows the ship to a point 107 km due east of its starting point. In what direction must it now sail to reach its original destination?
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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