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question: 0.01620.0162asamixednumber

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Convert decimals to fractionsright chevron icon

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A leaky 10-kg10\text{-kg} bucket is lifted from the ground to a height of 14 m14\, \text{m} at a constant speed with a rope that weighs 0.6 kg/m0.6\, \text{kg/m}. Initially the bucket contains 42 kg42\, \text{kg} of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 14 m14\, \text{m} level. How much work is done? (Use 9.8 m/s29.8\, \text{m/s}^2 for gg.) Show how to approximate the required work (in J\text{J}) by a Riemann sum. (Let xx be the height in meters above the ground. Enter xi∗x_i^* as xix_i.)
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