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A man wants to swim across a river that is flowing north to south at 5 m/s. He can swim at a speed of 7 m/s.The river is 1/4 of a km wide. If he leaves the river bank and swims due east relative to the water than where does he land on the other side with respect to his initial position? A second man sitting on the opposite river bank watches the first man swim across. What angle does the first man appear to be swimming relative to the second man? What are the vector components of the swimming man's net velocity relative to the man sitting on the ground?
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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Illustrate the cause of the components accelerating from rest down the conveyor.
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