If two balls made of iron and aluminium of equal volumes are immersed in a liquid, then will they experience equal up- thrust? Justify your answer.
No, the two balls made of iron and aluminum will not experience equal upthrust when immersed in a liquid. Upthrust, also known as buoyant force, is the force experienced by an object immersed in a fluid and is equal to the weight of the fluid displaced by the object.
The upthrust experienced by an object depends on the density of the fluid and the volume of the object. The density of a substance determines how much mass is present in a given volume. Iron has a higher density than aluminum, meaning that for an equal volume, iron has more mass.
When the balls are immersed in a liquid, the iron ball will displace a smaller volume of liquid compared to the aluminum ball because it has a higher density. Therefore, the upthrust experienced by the iron ball will be smaller than the upthrust experienced by the aluminum ball since the upthrust is directly proportional to the volume of fluid displaced.
In conclusion, the iron ball will experience a smaller upthrust compared to the aluminum ball when immersed in a liquid.
To determine if two balls made of iron and aluminium of equal volumes will experience equal upthrust when immersed in a liquid, we need to consider a few factors.
The upthrust or buoyant force experienced by an object submerged in a liquid is equal to the weight of the liquid displaced by the object. To calculate the upthrust, we need to know the density of the liquid and the volume of the object.
The density of a substance is its mass per unit volume. Given that the two balls are of equal volume, we can assume that the volume is the same for both, but the mass will differ since iron and aluminium have different densities.
Let's assume the mass of the iron ball is "m1" and the mass of the aluminium ball is "m2." Since the balls have equal volumes, volume of iron ball = volume of aluminium ball.
Now, let's consider the density of iron and aluminium, denoted by "ρ1" and "ρ2" respectively.
Density of iron (ρ1) > Density of aluminium (ρ2)
Knowing that density (ρ) of a substance is equal to mass (m) divided by volume (V), we can represent this as follows:
ρ1 = m1/V and ρ2 = m2/V
Since V (volume) is equal for both balls, we can write:
m1/V = ρ1 and m2/V = ρ2
From the above equations, we can conclude that the mass of the iron ball (m1) is greater than the mass of the aluminium ball (m2).
Now, let's consider the upthrust experienced by each ball. The upthrust (buoyant force) experienced by an object is equal to the weight of the liquid displaced by the object.
Since the volume of both balls is equal, they displace the same volume of liquid. And as the volume of liquid displaced is the same, the weight of the liquid displaced will also be the same for both balls.
Therefore, both balls will experience an equal upthrust or buoyant force when immersed in the liquid.
In summary, even though the balls are made of different materials, their equal volumes result in them displacing the same amount of liquid, leading to equal upthrust or buoyant force experienced by both balls.
yes
the up-thrust (bouyancy) is a function of the VOLUME of liquid displaced