fluid machanics

A block of ice is floating in water with a piece of iron trapped in it. What will happen to the water level as the ice melts?

3 Answers

i think u asked the same question a few days back. the answer is

THE WATER LEVEL WILL DECREASE..

let m1 =mass of ice
m2=mass of iron

Ïi=density of iron Ïw=density of ice

in equilibrium, when piece of ice floats in water ,

weight of [ice+stone]=upthrust

[m1+m2]g=V_iÏ_wg

therefore V_i=m1+m2/Ï_w

V_i=Volume of ice immersed

when the ice melts,m1 mass of ice converts into water and stone of mass m2 is completely submerged.

volume of water formed by mass m1 of ice

V₁=m1/Ï_w
volume of stone [which is also equal to volume of water displaced}

V₂=m2/Ï_s

since Ï_s>Ï_w,

V₁+V₂<V_{_i}

that is the level of water will decrease.

if u still have a doubt then scrap me

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