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Q1. In a two dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at angles. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 206N, and Charles pulls with force of magnitude 163N. Note that the direction of Charles' force is not given. What is the magnitude of Betty's force?
Q2. A plane leaves the airport in Galisto and flies 175 km at 68.0^circ east of north and next changes direction to fly 260 km at 48.0^circ south of east, after which it makes an immediate emergency landing in the pasture.
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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