A 10 kg piece of metal displaces 2 L of water when submerged. What is its density in units of gc/m3?
Well, density is just mass divided by volume, right? So given a mass of 10 kg and a volume of 2 L, we need to convert that volume to cubic meters. Let's dive right into it!
Since 1 L is equal to 0.001 m^3, we can convert the volume of water displaced. Thus, 2 L becomes 0.002 m^3.
So, density is calculated by dividing mass (10 kg) by volume (0.002 m^3). Doing the math, we get a density of 5000 kg/m^3.
However, since you asked for the density in units of "gc/m3," I'm not sure what "gc" stands for. Perhaps it's "giggles and chuckles"? In that case, the density would be 5000 giggles and chuckles per cubic meter!
To find the density of the metal, we can use the formula:
Density = Mass / Volume
Given information:
Mass of metal = 10 kg
Volume of water displaced = 2 L
First, we need to convert the volume from liters (L) to cubic meters (m^3).
1 L = 0.001 m^3
So, 2 L = 2 x 0.001 m^3 = 0.002 m^3
Now we can calculate the density of the metal:
Density = Mass / Volume
Density = 10 kg / 0.002 m^3
Density = 10,000 kg/m^3
Therefore, the density of the metal is 10,000 kg/m^3.
To find the density of the metal in units of g/cm³, we need to use the formula:
Density = Mass / Volume
Given that the mass of the metal is 10 kg and it displaces 2 L (which is equal to 2000 cm³) of water when submerged, we can plug in the values:
Density = 10 kg / 2000 cm³
Before we proceed with the calculation, we need to convert kg to grams since the volume is in cm³:
10 kg = 10000 grams (1 kg = 1000 grams)
Now we can substitute the values:
Density = 10000 grams / 2000 cm³
Simplifying the expression:
Density = 5 grams/cm³
Therefore, the density of the metal is 5 g/cm³.
a liter is 1000 cm^3
so 10,000 grams / 2000 cm^3 = 5 grams / cm^3