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A person swims east to west across a river that is 30 meters wide.The person swims westward (compared to the water) at constant speedof 3 m/s. The river flows south at a steady speed of 5 m/s. Notethatm even though the person is swimming west compared to thewater, because of the current in the river, the actually have asouthwestern trajectory.a. Determine the speed of the swimmer. (compared to the land)b. Determine the total velocity of the swimmer compared to the land.c. Determine the acceleration of the swimmer.d. Determine the net force on the swimmer.e. Determine how much time it takes the swimmer to cross theriverf. Determine the coordinates of where they strike the other side ofthe river. Assume they start on the eastern shore at coordinates(0,0).
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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