Question

A tank of 2 $\times$ 2 $\times$ 3 m is to be filled with water lifting from a well of average depth of 10 m. The work done will be (density of water $=1000kg/m^3$ and $g=9.8m/s^2$)

• A. $1176\times {10}^{3}J$
• B. $1276\times {10}^{3}J$
• C. $1476\times {10}^{3}J$
• D. $1576\times {10}^{2}J$

Answer 1

The correct option is A $1176\times {10}^{3}J$

Work done in lifting the body thought a height h is
$W=mgh$

where, $m$ is mass of water to be filled in tank of given volume,

$m=2m\times 2m\times 3m\times 1000kg/m^3=12\times {10}^{3}Kg$,

g = 9.8 $m{s}^{-2}$ and

$h=10$ m hence,

$W=(12\times {10}^3)\left(9.8\right)\left(10\right)=1176\times {10}^{3}J$