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A block of ice (density 920 kg/m3), a block of concrete (density 2000 kg/m3), and a block of iron (density 7800 kg/m3) are all submerged in the same fluid. All three blocks have the same volume. Which block experiences the greatest buoyant force? Group of answer choices

User Cmacera
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1 Answer

5 votes

Answer:

All three blocks experience the same buoyant force

B=bouyant force of the ice block = bouyant force of the concrete block = bouyant force of the iron block

Step-by-step explanation:

Archimedes' principle

Every body submerged in a fluid experiences an upward vertical Buoyant force called B, equivalent to the weight of the fluid it dislodges. Mathematically, the Buoyant force is defined by the following formula:

W = B = m⋅g =ρ⋅V⋅g

W is the weight of the fluid that moves when a body is immersed in it.

B = ρ⋅V⋅g Formula (1)

where:

B is the pushing force that acts on the body submerged in the fluid or buoyant force

m is the mass of the displaced fluid.

ρ is the density of the fluid.

V is the volume of the dislodged fluid.

g is the acceleration due to gravity.

Problem development

As all the blocks are submerged in the same fluid the mass (m) and the density (ρ) in the formula (1) will be the same for all the blocks, also all the blocks have the same volume therefore the volume of the fluid dislodged (V) in formula (1) it will be the same for all blocks.

In conclusion, as m, ρ and V in formula (1) are equal for the three blocks, their buoyant force is equal.

B=bouyant force of the ice block = bouyant force of the concrete block = bouyant force of the iron block

User Darren Newton
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