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Listen Suppose that 5J of work is needed to stretch a spring from its natural length of 30 cm to a length of 45cm. a) How much work is needed to stretch the spring from 32 cm to 37 cm (round answer to 2 decimal places). Integrate by hand. Show all steps by for credit. b) How far beyond its natural length will a force of 40N keep the spring stretched. (Show all work for credit