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Some kids playing at the park get creative, and they turn a seesaw into a trebuchet - they slide the plank until only 20 cm of its total length of 4 m extends from one side of the fulcrum. While bracing the system in a horizontal position, they place a 0.5 kg cantaloupe on the really long end, and three 25 kg kids sit on the short end (assume at the very end). Once the braces are removed, the kids fall, flinging the cantaloupe. What maximum velocity does the cantaloupe reach? Ignore the mass of the plank.
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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