A bucket full of water weighs 5 kg , it is pulled from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate. If it is observed that for every metre the bu

Question

A bucket full of water weighs 5 kg , it is pulled from a well 20 m deep. There is a small hole in the bucket through which water leaks at a constant rate. If it is observed that for every metre the bucket loses 0 .2 kg mass of water, then the total work done in pulling the bucket up from the well is [ g = 10 m s - 2 ]

TestHub · Accepted Answer

The weight of bucket when it has been pulled up a distance $x i s$ (5-0.2 $x) .$

Hence, the required work is

$W = \int_{x = 20}^{x = 0} - (5 - 0.2 x) \times 10 \times d x$

$= {[50 x]}_{x = 0}^{x = 20} - {[2 \frac{x^{2}}{2}]}_{x = 0}^{x = 20}$

$W = 50 \times 20 - {(20)}^{2} = 600 J$

Physics - W.E.P. Question with Solution | TestHub

Options:

Doubts & Discussion