Aleaky 10-kg bucket is lifted from the ground to a height of 16 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 48 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 16-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.)
Answers: 3
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and the mass of the water in the bucket 
varies with the height 
of the bucket. Express the two masses as a function of 
,
. The mass of the water left in the bucket at height 
.
. Combining the three:
.
.
.
.
.
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