## Abhisar one year ago The mass of a bucket full of water is 15 Kg. It is being pulled up from a 15m deep well. Due to a hole in bucket 6 Kg of water flows out. Find the work done in pulling it out of the well.

1. IrishBoy123

**Assuming** the bucket is not accelerating and that the leakage is at a uniform rate per time (and thus distance) you can say that the mass of the buckets as it rises from distance z = 0 [bottom of well] to z = 15 [top of well] is $$m(z) = 15 - \frac{2}{5}z$$. Check, z = 15, $$m(z) = 15 - \frac{2}{5}15 = 9 \ \checkmark$$ from definition of work, $$W = \int F dz$$ $$F = m(z) . g$$ $$W = g \ \int_{z=0}^{15} 15 - \frac{2}{5}z \ dz$$

2. IrishBoy123

|dw:1441124550619:dw|

3. Abhisar

Ok, got it. Thanks a bunch c:

4. IrishBoy123

mp!