Question

Calculus Thomas 14th edition. Ch.6.5, problem 13.

A 5 kg bucket lifted from the ground into the air by pulling in 20 m of rope at a constant speed. The rope weighs 0.08 kg/m. The work spent on bucket and rope is 1136.8 J. Assume that the bucket is leaking it starts with 5 liters of water (5 kg ) and leaks at the constant rate. It finishes draining just as it reaches the top. How much work was spent lifting the water alone? (Hint. Do not include the rope and bucket, and find the proportion of the water left at elevation x m. )

Answer 1

490 J