Question: 11) ( 6 pts) A 80-mlong chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and

 11) ( 6 pts) A 80-mlong chain hangs vertically from acylinder attached to a winch. Assume there is no friction in the

system and the chain has a density of 5 kg/rn; use integrationto nd how much work is required to wind the chain onto

11) ( 6 pts) A 80-mlong chain hangs vertically from a cylinder attached to a winch. Assume there is no friction in the system and the chain has a density of 5 kg/rn; use integration to nd how much work is required to wind the chain onto the cylinder if a 16-kg block is attached to the end of the chain? Use 9.8 m/s2 for acceleration. Segment of length _\\._1' 12) (6 pts ) Use the Midpoint Rule with n=25 to approximate the denite integral ; if necessary round to 8 decimal places { show the individual steps and formula used to reach your answer } You may use a calculator program . 1 x2 ) 6 dx

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