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Unformatted text preview: er out of the tank, which is initially full. The radius, r, is 5 m. The length of the tank is 7 m. Assume that the water exits from a small hole at the top. Hint: evaluate the integral by interpreting it as the area of a circle. b) Set up an integral to calculate the work required to pump the water out of the tank if it is initially full to a depth of 3 m, and the water exits through a spigot that is 1 m above the tank. 7) How much work is done lifting a 12‐m chain that has mass density 3 kg/m (initially coiled on the ground) so that its top end is 10 m above the ground? 8) a) The gravitational force between two objects of mass m and M, separated by a distance r, has magnitude GMm/r2, where G = 6.67 × 10−11 m3kg−1s−1. Show that i...
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