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At a mail sorting facility, packages slide down a ramp but are stopped part way down the ramp so that they can be scanned. While the packages are scanned, they are held in place by a horizontal, spring-loaded arm. Calculate the force that must be applied by this arm to hold a package on the ramp. The ramp is at an angle of 31.5° with the horizontal. The package has a mass of 4.75 kg. The coefficient of static friction between the ramp and the package is 0.455.
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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