a block off wood (density = 0.5 g/cm^3) is floating in oil (density = 0.75 g/cm^3). The mass of the wood is 1500 g. Determine the volume of the oil displaced
if it is floating it must displace its mass in oil
.75 V = 1500
V = 2000 cm^3
what did you do with the 0.5g/cm^3?
To determine the volume of the oil displaced by the block of wood, we need to calculate the volume of the block of wood and then subtract it from the volume of the same mass of oil.
First, let's calculate the volume of the block of wood:
Volume of block = Mass of block / Density of block
Volume of block = 1500 g / 0.5 g/cm^3
Volume of block = 3000 cm^3
Next, we'll calculate the volume of the same mass of oil:
Volume of oil = Mass of oil / Density of oil
Volume of oil = 1500 g / 0.75 g/cm^3
Volume of oil = 2000 cm^3
Finally, we can determine the volume of the oil displaced:
Volume of oil displaced = Volume of oil - Volume of block
Volume of oil displaced = 2000 cm^3 - 3000 cm^3
Volume of oil displaced = -1000 cm^3
Since the volume of oil displaced is negative, it means that the block of wood completely floats above the oil without submerging into it. Therefore, no oil is displaced by the block of wood.