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A material of density 8.5 gcm^-3 is attached to a piece of wood of mass 100g and density 0.2 gcm^-3. Calculate the volume of material...

A material of density 8.5 gcm^-3 is attached to a piece of wood of mass 100g and density 0.2 gcm^-3. Calculate the volume of material X which must be attached to the piece of wood so that the two just submerge beneath a liquid of density 1.2 gcm^-3.

Answers

Let the volume of the material be V cm³
The mass of the material be 8.5 V grams
Volume of wood = 100 g / 0.2 g/cm = 500 cm³.
In order to have an average density of 1.2 gcm^-3 = total mass / total volume
Therefore (100 + 8.5V) / (500 + V) = 1.2 gcm^-3 Hence V = 68.5 cm³.

Mutiso answered the question on October 16, 2018 at 07:21

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