If the block has a weight of 800 N, what is its mass? From this result, if its density is ρB, what is its volume? If it is totally submerged in water, with this volume, what is the buoyant force on the block (given that the density of water is 1/8 of ρB)?Aoiumi said:Homework Statement
The density of iron is 8 times larger than the density of water. An iron block has weight 800 N when it is weighed in air. When the block is weighed when completely submerged in water, the apparent weight is...
The answer is 700 N but I don't know how this is determined.
Homework Equations
Apparent weight is equal to mg minus Fb
Fb = ρfgVfThe Attempt at a Solution
Apparent weight = 800N - Fb
Fb = x(9.8)Vf
Density of iron is 8x
You just leave it algebraic. v = 81.6/ρBAoiumi said:800N = m (9.8 m/s^2)
m = 81.6 kg
If Density of iron: ρ = m/v
ρ = 81.6 / v
How do I express ρ?
Density is a measure of how much mass is contained in a given volume of a substance. It is calculated by dividing the mass of the substance by its volume. The units of density are typically grams per cubic centimeter (g/cm3) in the metric system and grams per milliliter (g/mL) in the English system.
Density does not directly affect the weight of an object. However, the apparent weight of an object may change in different environments due to the effects of buoyancy. In a denser medium, an object will experience greater buoyant force, making it feel lighter. In a less dense medium, an object will feel heavier.
Density and buoyancy are inversely related. The more dense an object is, the less buoyant force it will experience in a fluid. This is because the object displaces a smaller volume of fluid compared to a less dense object of the same size and shape. This is why objects made of denser materials, such as iron, sink in water while less dense objects, like wood, float.
Temperature does affect the density of a substance. In general, as the temperature increases, the density of a substance decreases. This is because as the temperature increases, the particles of the substance gain more energy and move farther apart, taking up more space and decreasing the density. However, there are some exceptions, such as water, which has its highest density at 4 degrees Celsius.
Density is an important concept used in many real-world applications. For example, it is used in the construction of buildings and bridges to determine the strength and stability of materials. It is also used in the production of various products, such as food and cosmetics, to ensure the correct amount of ingredients are used. Additionally, density is used in the study of weather and oceanography to understand the movement of air and water masses.