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A cubic block of wood of side 10cm floats at interface between an oil and water with its lower surface 2cm below the interface.the height of the oil and water columns are 10cm each. Density of oil is o.8g/cc.the mass of the block is
Let us assume the pressure at the bottom of the block to be P1 and the top to be P2. The density of oil be d1 and density of water be d2. So we know thatP1 = P2 + (d1)(g)(10-h) + (d2)(g)(h) where h stands for the height of block inside water.P1 - P2 = 0.8(g)(10-2) + 1(g)(2) = 8.4(g)We know that P = F/A and hence F = PA = 8.4(g) x area.Also we know that weight of block is mg = (density)(volume)(g) since { Density = Mass/Volume} and also volume = area x height.8.4(g) x area = (density)(area)(height)(g)8.4 = density x height { height = 10 cm }density = 0.84 g/ccmass = volume x density = 0.84 x 1000 = 840 g
Let us assume the pressure at the bottom of the block to be P1 and the top to be P2. The density of oil be d1 and density of water be d2. So we know that
P1 = P2 + (d1)(g)(10-h) + (d2)(g)(h) where h stands for the height of block inside water.
P1 - P2 = 0.8(g)(10-2) + 1(g)(2) = 8.4(g)
We know that P = F/A and hence F = PA = 8.4(g) x area.
Also we know that weight of block is mg = (density)(volume)(g) since { Density = Mass/Volume} and also volume = area x height.
8.4(g) x area = (density)(area)(height)(g)
8.4 = density x height { height = 10 cm }
density = 0.84 g/cc
mass = volume x density = 0.84 x 1000 = 840 g
Dear StudentLet assume the pressure at the bottom of the block to be P1 and the top to be P2. The density of oil be d1 and density of water be d2. So we know thatP1 = P2 + (d1)(g)(10-h) + (d2)(g)(h) where h stands for the height of block inside water.P1 - P2 = 0.8(g)(10-2) + 1(g)(2) = 8.4(g)We know that P = F/A and hence F = PA = 8.4(g) x area.Also we know that weight of block is mg = (density)(volume)(g) since { Density = Mass/Volume} and also volume = area x height.8.4(g) x area = (density)(area)(height)(g)8.4 = density x height { height = 10 cm }density = 0.84 g/ccmass = volume x density = 0.84 x 1000 = 840 gI hope this answer will help you.Thanks & RegardsYash Chourasiya
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