You have a block of a mystery material, 12 cm
long, 11 cm wide and 3.5 cm thick. Its mass is
1155 grams. (a) What is its density? (b) Will
it float in a tank of water, or sink?
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Answer:
SOLUTION
The weight of the ball is
To calculate the buoyancy, we need the volume of displaced water, which is the volume of the ball because it is being held completely submerged.
The buoyant force is equal to the weight of that volume of water.
That's a lot stronger than the 6.1N downward pull of gravity, so the ball will rise to the surface when released. The density of the ball is
which is 8.3% the density of water. The ball will therefore be floating with 8.3% of its volume below the level of the surface, and 91.7% sticking out of the water.
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Answer is 91.7 percent
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