An-iceberg-is-floating-in-sea-water-The-density-of-ice-is-0-92g-cm-3-and-that-of-sea-water-is-1-02g-cm-3-What-of-ice-will-be-below-the-water-

Question Number 52377 by Necxx last updated on 07/Jan/19

A n i c e b e r g i s f l o a t i n g i n s e a w a t e r .

T h e d e n s i t y o f i c e i s 0.92 g / {c m}^{3}

a n d t h a t o f s e a w a t e r i s 1.02 g / {c m}^{3} .

W h a t % o f i c e w i l l b e b e l o w t h e

w a t e r ?

Commented by mr W last updated on 07/Jan/19

V = v o l u m e o f i c e b e r g

V_{w} = p a r t o f i c e b e r g b e l o w s e a w a t e r

ρ_{i} = d e n s i t y o f i c e

ρ_{w} = d e n s i t y o f s e a w a t e r

w e i g h t o f i c e b e r g = V ρ_{i} g

f l o t a t i o n = V_{w} ρ_{w} g

s i n c e i c e b e r g f l o a t s, \Rightarrow f l o t a t i o n = w e i g h t

V_{w} ρ_{w} g = V ρ_{i} g

V_{w} ρ_{w} = V ρ_{i}

\Rightarrow \frac{V_{w}}{V} = \frac{ρ_{i}}{ρ_{w}}

f r a c t i o n o f i c e b e r g b e l o w w a t e r

η = \frac{V_{w}}{V} = \frac{ρ_{i}}{ρ_{w}} = \frac{0.92}{1.02} \approx 90 %

Commented by Necxx last updated on 07/Jan/19

p l e a s e s i r c a n y o u g i v e a d e t a i l e d

e x p l a n a t i o n . T h a n k s i n a d v a n c e .

Commented by Necxx last updated on 07/Jan/19

y e s . T h a n k s s o m u c h .

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