What is the Density of a 6.8-kg Piece of Metal That Displaces 1 Liter of Water?

In summary, the density of the 6.8-kg piece of metal is 6800kg/m^3, calculated by dividing the mass of 6.8kg by the volume of 1 liter (equal to 0.001m^3). The displacement of 1 liter of water is used to determine the volume of the metal. The kilogram is a unit of mass, not weight.
  • #1
sharonita
13
0
Heres the question:
A 6.8-kg piece of metal displaces 1 liter of water when submerged. Calculate its density.

So I have no idea where to begin or how the displacement relates to the density. What can you suggest? Thanks!
 
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  • #2
i reallllyy need help =\
anybody?
 
  • #3
Density equals mass divided by volume. If the object displaces 1 liter of water, then it has a volume of 1 liter. You also have to know that 1 liter = 0.001 cubic meters. The objects density is 6.8kg/0.001m^3 or 6800kg/m^3.
 
  • #4
But wasnt the weight 6.8kg?
 
  • #5
Yes the mass is 6.8kg and the volume is 1liter which is equal to 0.001m^3. The density is mass divided by volume which is 6.8kg/0.001m^3. Do 6.8 divided by 0.001 on a calculator; what answer do you get?
 
  • #6
sharonita said:
But wasnt the weight 6.8kg?


Nope, the mass was 6.8 kg. The kilogram is a unit of mass, not weight.
 
  • #7
6800...thanks!
 
  • #8
ohhhh. okay thanks a bunch!
im such a newbie, that's all. :)
 

1. What is displacement?

Displacement is the change in position of an object. It is a vector quantity, meaning it has both magnitude and direction.

2. How do you calculate displacement?

Displacement is calculated by subtracting the initial position from the final position. This can be represented by the equation Δx = xf - xi, where Δx is the displacement, xf is the final position, and xi is the initial position.

3. What is density?

Density is a measure of how much mass is contained within a given volume. It is often represented by the symbol ρ and is calculated by dividing the mass of an object by its volume: ρ = m/V.

4. How does density affect an object's behavior?

Density plays a significant role in determining how an object behaves in different environments. Objects with higher densities tend to sink in fluids, while objects with lower densities float. It also affects how objects interact with each other, as objects with different densities will have different amounts of buoyancy and will either float or sink when placed in a fluid.

5. How does displacement relate to density?

Displacement and density are related because displacement is often used to measure the volume of an object, which is then used to calculate density. The volume of an object can be determined by measuring the amount of water it displaces when submerged in a container. This can then be used to calculate the object's density using the equation ρ = m/V.

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