an object displaces 2.3×〖10〗^(-3) m^3 of water when totally immersed into it. What is the buoyant force exerted by water? What is the density of the object if its mass is 26kg?of what material is the object made of?
I think you mean the object it totally immersed in water, not the other way around. The buoyant force is the weight of the water displaced, which is
(water density)(volume)*g
= 2.3*10^-3 m^3*1.00*10^3 kg/m^3*9.8 m/s^2 = 22.5 Newtons
The density is (26,000 g)/(2.3^10^3) cm^3 = 11.3 g/cm^3
That happens to be the density of the metal lead. There are probably some alloys that have the same density, but they are not commonly used.
Well, well, well, someone's getting immersed in some physics! Let's dive right in, shall we?
To find the buoyant force, we need to use Archimedes' principle, which tells us that the buoyant force is equal to the weight of the fluid displaced by the object. In this case, the fluid is good old water.
The formula to calculate the buoyant force is as follows:
Buoyant Force = Density of Water × Volume of Water Displaced × Acceleration Due to Gravity
Since we're given the volume of water displaced as 2.3×10^(-3) m^3, we just need the density of water and the acceleration due to gravity to calculate the buoyant force.
The density of water is approximately 1,000 kg/m^3, and the standard acceleration due to gravity is 9.8 m/s^2. Multiply these values by the volume of water displaced, and voila! You'll have the buoyant force.
Now, about the density of the object. We know density is defined as mass divided by volume. We're told the mass of the object is 26 kg, and we know the volume of water it displaces. Divide the mass by the volume, and you'll find the density of the object.
As for the material the object is made of, I'm afraid I can't answer that question without more information. Different materials have different densities, so knowing the density alone won't tell us what the object is made of. Maybe you can provide more details, and we can have a whale of a time guessing!
To find the buoyant force exerted by water on the object, we can use Archimedes' principle, which states that the buoyant force is equal to the weight of the volume of fluid displaced by the object.
Given that the object displaces 2.3×10^(-3) m^3 of water, we can calculate the buoyant force.
Buoyant force = weight of displaced fluid
Density of water = 1000 kg/m^3 (approximately)
Buoyant force = density of water x volume of water displaced x gravity
Buoyant force = 1000 kg/m^3 x 2.3×10^(-3) m^3 x 9.8 m/s^2
Buoyant force ≈ 22.54 N
Therefore, the buoyant force exerted by water on the object is approximately 22.54 Newtons.
To find the density of the object, we can use the formula:
Density = mass/volume
Given that the mass of the object is 26 kg, we can calculate the density.
Density = 26 kg / 2.3×10^(-3) m^3
Density ≈ 11304.35 kg/m^3
Therefore, the density of the object is approximately 11304.35 kg/m^3.
To determine the material the object is made of, we can compare its density with known densities of materials. Unfortunately, without additional information, it is difficult to determine the exact material. However, based on the calculated high density of approximately 11304.35 kg/m^3, it is possible that the object may be made of dense materials such as lead or some alloys.
To find the buoyant force exerted by water, we can use Archimedes' principle, which states that the buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
1. Calculate the weight of the water displaced by the object:
The weight of the water displaced is given by the equation W = m*g, where m is the mass of the water and g is the acceleration due to gravity (approximately 9.8 m/s^2). Since the density of water is approximately 1000 kg/m^3, we can find the mass of the water displaced by multiplying the density by the volume:
Mass of water displaced (m_displaced) = Density of water * Volume displaced
m_displaced = 1000 kg/m^3 * 2.3×10^(-3) m^3
2. Calculate the buoyant force:
Buoyant force (F_buoyant) = Weight of water displaced (W)
F_buoyant = m_displaced * g
Now, let's calculate the buoyant force:
F_buoyant = (1000 kg/m^3 * 2.3×10^(-3) m^3) * 9.8 m/s^2
To find the density of the object, we can use the formula for density, which is mass divided by volume:
Density of object = Mass of object / Volume of object
Density of object = 26 kg / 2.3×10^(-3) m^3
Finally, identifying the material the object is made of:
To identify the material, you would need more information or perform additional tests such as measuring its physical properties (e.g. melting point, electrical conductivity) or conducting a chemical analysis.