Question

Archimedes himself had a mass of 52 kg when he discovered displacement. If his density was roughly 12 g/mL, calculate the amount of water he would spill out of a full tub.

Answer 1

7.75 kg

Step-by-step explanation:

Archimedes’ principle tells you that the weight of the water displaced is equal to the buoyancy force:

To keep the wood afloat, the buoyancy force must have the same magnitude as the force of gravity on the block, so

The volume of water displaced is

So the mass of water displaced is

Thus, the mass of the piece of wood is 7.75 kilograms.