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Q. Water flows straight down from an open faucet. The effects of air resistance and viscosity can be ignored. What is the algebraic expression for the speed v1 of the water at the lower point? Express your answer in terms of the speed v2 of the water as it leaves the faucet, the magnitude g of the acceleration due to gravity, and the distance h of the water between the faucet and the lower point.
Q. A horizontal uniform bar of mass 2.9 kg and length 3.0 m is hung horizontally on two vertical strings. String 1 is attached to the end of the bar, and string 2 is attached a distance 0.74 m from the other end. A monkey of mass 1.45 kg walks from one end of the bar to the other. Find the tension T_1 in string 1 at the moment that the monkey is halfway between the ends of the bar.
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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