A block of wood (density 550 kg/m 3 ) and a block of metal (density 2700 kg/m 3
ID: 2300234 • Letter: A
Question
A block of wood (density 550 kg/m3) and a block of metal (density 2700 kg/m3) with equal volume are placed 1 m under water in a swimming pool. Which has a greater buoyant force on it?
the metal
the wood
they have the same buoyant force
Which has a greater force of gravity on it?
the metal
the wood
they have the same force of gravity
Compare the buoyant force to the force of gravity for each object.
In both cases the buoyant force is greater.
In both cases the force of gravity is greater.
For the metal, the buoyant force is greater; for the wood, the force of gravity is greater.
For the wood, the buoyant force is greater; for the metal, the force of gravity is greater.
If they were taken to a depth of 10 m what would happen to the buoyant force on each (assume the density of water is constant and the objects are incompressible)?
they increase
they decrease
they remain the same
If the objects were connected together, would they sink or float?
they would sink
they would float
they would stay right where the are!
Explanation / Answer
1) both have same buoyant force
REASON buyonce force is independent of density of steel and wood and depend on density of water . Also, since both have same volume, they have same buoyant force
2) the metal
REASON Metal has greater density than wood, so mass of metal > mass of wood
3) For the wood, the buoyant force is greater; for the metal, the force of gravity is greater.
REASON Density of wood less than water and density of steel greater than water
4) they remain the same
REASON Density of waterand volume of objects remains same
5) they would sink
REASON Combined density of steel and wood > density of water + density of water
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