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1) A force of 10 N stretches a spring from its natural length of 15cm to...

1) A force of 10 N stretches a spring from its natural length of 15cm to 65cm. How much work is done in stretching the spring 30cm beyond its natural length?
(a) k = ?
(b) Work integral is: ?
(c) Answer: ?
2) How much work is done lifting a 1500 lb bucket of anthracite coal 600 feet using a cable that weighs 3lb/ft if the cable is being wound around a winch at the top of the 600 ft shaft?
(a) Work for fixed part of problem: ?
(b) Integral for variable: ?
(c) Total Work: ?

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