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Question1
A siphon tube is filled with gasoline and closed at each end. One end is inserted into a gasoline tank 0.15 m below a surface. The outlet is placed outside the tank at a distance 0.45 m below the surface. The tube has an inner cross-sectional area of 3.6x 10-4 m2. The density of gasoline is 680 kg/m3. Ignoring viscous effects, what is the velocity of the gasoline in the tube shortly after the tube is opened? Suppose that the diameter of the gas tank is much larger than the diameter of the hose.
Question2
An arrow is shot at the angle of theta = 45 degrees above the horizontal. The arrow hits a tree a horizontal distance D = 220 away, at an identical height above the ground as it were shot. Use g = 9.8 m/s^2 for the magnitude of the acceleration because of gravity.
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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