Buoyant Force Math Problems: Calculating Densities of Metal and Unknown Liquid

In summary, the piece of metal weighs 50 N in air, 36.0 N in water, and 41.0 N in an unknown liquid. Using the formula for density (d=m/v), we can find the densities of the metal and unknown liquid by dividing their respective weights by their volumes. The density of the metal is 50 N/volume, and the density of the unknown liquid is 41.0 N/volume. The density of a substance can be affected by temperature and pressure, but in this problem, we can assume that the temperatures and pressures are constant. Therefore, the temperatures do not have an impact on the density calculations.
  • #1
WhiteTiger09
1
0
A piece of metal weighs 50 N. in air, 36.0 N in water, and 41.0 in an unknown liquid. Find the densities of the following:
The metal
The unknown liquid
 
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  • #2
What have you tried so far?
 
  • #3
WhiteTiger09 said:
A piece of metal weighs 50 N. in air, 36.0 N in water, and 41.0 in an unknown liquid. Find the densities of the following:
The metal
The unknown liquid

----
d=m/v. • Density of a substance is affected by temperature and pressure. These vary according to the physical properties of the substance. The effect of temperature on the density of solids and gases varies widely. Gases are most affected; solids are least and liquids ranging generally in between.
 
  • #4
miragab said:
----
d=m/v. • Density of a substance is affected by temperature and pressure. These vary according to the physical properties of the substance. The effect of temperature on the density of solids and gases varies widely. Gases are most affected; solids are least and liquids ranging generally in between.

I don't think temperature is relevant in that problem
 
  • #5
If the temperature of the liquid changes, the S.G. may also change. Because temperature change will cause the liquid to expand or contract, depending on whether the temperature goes below or above the standard temperature.
The S.G. or Mass Density of most liquid is calculated at a Standard Temperature (60°F).

(The Effect of Temperature is that, as the temperature of the liquid increases, the liquid expands and gets lighter per volume. Consequently, the force per unit area will decrease. On the other hand, as the temperature of the liquid decreases, the liquid contracts and becomes heavier per volume and causes the force per unit area to increase.)---
 

Related to Buoyant Force Math Problems: Calculating Densities of Metal and Unknown Liquid

1. What is buoyant force?

Buoyant force is the upward force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid that the object displaces.

2. How do you calculate buoyant force?

To calculate buoyant force, use the formula Fb = ρVg, where Fb is the buoyant force, ρ is the density of the fluid, V is the volume of the fluid displaced, and g is the acceleration due to gravity.

3. What is Archimedes' principle?

Archimedes' principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. This principle helps explain why objects float or sink in fluids.

4. How does the shape of an object affect buoyant force?

The shape of an object does not affect the buoyant force, as long as the object displaces the same volume of fluid. However, the shape can affect the weight of the object and therefore its ability to float or sink.

5. How does depth affect buoyant force?

The depth at which an object is submerged does not affect the buoyant force, as long as the object remains fully immersed. However, the pressure and density of the fluid may change with depth, which can affect the weight of the object and therefore its buoyancy.

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