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A 1400 kg mid-size car traveling east at 20.7 m/s collides with a 2120 kg mid-size truck traveling north at 37.4 m/s. Assume that the vehicles upon collision lock together in such a way as to prevent them from separating or rotating. Calculate the angle northward from due east (counterclockwise) that the locked cars move toward immediately after the impact.
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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