Question

A cynical vessel of height 1m is full of water. Find the work done in pumping out whole water

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf Work(W)=4900J}}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Lenght of cubical vessel = 1m

$\large\underline\pink{\sf To\:Find: }$

• Work done in pumping out whole water (W) = ?

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Mass of water in cubical vessel (m)=$\sf{\rho ×V}$

$\large\implies{\sf m=1000×1^3}$

$\large\implies{\sf m=1000kg }$

here ,

h = l/2

Work done in pumping out whole water :-

$\large{\boxed{\sf W=mgh }}$

$\large\implies{\sf W=mg\frac{l}{2}}$

$\large\implies{\sf W=1000×9.8×\frac{1}{2} }$

$\large\implies{\sf W=4900J }$

$\large\red{\boxed{\sf Work(W)=4900J}}$

Hence ,

Work done in pumping out whole water is 4900J