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Q. A banked circular highway curve is designed for traffic moving at 59 km/h. The radius of the curve is 221 m. Traffic is moving along the highway at 51 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to negotiate the turn without sliding off the road?
Q. A trough 3m long has a semicircular cross-section of radius 4m. If the trough is full of oil with density 800kg/m^3, find the work done in pumping the oil out over the top?
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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