question_answer

A tank of size\[\text{1m}\times \text{2m}\times \text{2m}\] is to be filled with water lifting from a well of average depth 5m. Find the work done.

Answer:

Volume of tank = Volume of water \[=1m\times 2m\times 2m=4\,{{m}^{3}}\] \[(v)=10\text{ }{{m}^{3}}\]Mass of water = Volume of water\[(h)=40\text{ }m\] density of water 4 \[\times \] 1000 = 4000 kg (\[\because \]density of water\[=1000\,\,kg/{{m}^{3}}\]). height, h = 5 m Work done = W = ? We know, \[W=mgh=4000\times 9.8\times 5=1.96\times {{10}^{5}}J.\]