Write an isostasy equation (mathematical model) that expresses how the density o

Question

Write an isostasy equation (mathematical model) that expresses how the density of the wood block (rho_wood) compared to the density of the water (rho_water) is related to the height of the wood block that floats below the equilibrium line (H_below). Change your answer in Part C to an equation (mathematical model) that expresses how the density of the wood block (rho_wood) compared to the density of the water (rho_water) is related to the height of the wood block that floats above the equilibrium line (H_above).

Explanation / Answer

C. Relation between density and height.

P1gh1= P2gh2

P1h1=P2h2

Where P1= density of wood block

h1= height of woodblock

P2 h2 are the density and height of water.

Below the equilibrium level.

Hbelow= h1(P1/P2)

2. Similarly Habove= h1(P1/P2)

because htotal= Habove- HBelow

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