A leaky 10-kg bucket is lifted from the ground to a height of 14 m at a constant speed with a rope that weighs 0.7 kg/m. Initially the bucket contains 42 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 14-m level. Find the work done. (Use 9.8 m/s? for g.)
Show how to approximate the required work by a Riemann sum. (Let x be the height in meters above the ground. Enter x" as x.)
im
E
AX
Express the work as an integral.
Evaluate the integral. (Round your answer to the nearest Integer.)
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