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Q. Two balls, of masses m_A = 50 {rm g} and m_B = 61 {rm g}, are suspended as shown in the figure. The lighter ball is pulled away to a 66 ^circ angle with the vertical and released. Assume that the positive x axis is directed to the right.
Q. Sewage at a certain pumping station is raised vertically by 5.65 m at the rate of 1 850 000 liters each day. The sewage, of density 1 050 kg/m3, enters and leaves the pump at atmospheric pressure and through pipes of equal diameter.
(a) Find the output mechanical power of the lift station.
(b) Assume an electric motor continuously operating with average power 4.65 kW runs the pump. Find its efficiency.
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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