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Q1. A jetliner can fly 5.32 hours on a full load of fuel. Without any wind it flies at the speed of 220 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 42.7 m/s wind from the jet stream, which blows from west to east. What is the maximum distance that the plane can travel due west and just being able to return home?
Q2. A 75 person sits on a 3.9 chair. Each leg of the chair makes contact with the floor in a circle that is 1.4 in diameter. Find out the pressure exerted on the floor by each leg of the chair, assuming the weight is evenly distributed.
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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