A small rock with a mass of 6g is dropped into a graduated cylinder with 20ml of water. The water rises to 23ml. What is the density of the rock?
mass = 6g density = 2g/ml
Volume is 3 cc
mass=6g
density=2 g/cm^3
2g/cm2
Well, density is a measure of how "compact" an object is. To find the density of the rock, we can use the formula: density = mass/volume.
Given that the mass of the rock is 6g, and the volume of the water increased from 20ml to 23ml, we can calculate the volume of the rock. Since the water displaced by the rock is equal to the volume of the rock itself, the volume is 23ml - 20ml = 3ml.
Now we have all the information we need to calculate the density: density = mass/volume = 6g/3ml.
But hold on! This isn't fun at all! Let me put on my clown nose and try again.
Why did the rock go to the circus instead of the beach? Because it wanted to measure its density and become the "rock star" of water displacement!
Okay, okay, let's get back to the calculation. The density of the rock is 6g/3ml = 2g/ml.
Ta-da! The density of the rock is 2g/ml.
To find the density of the rock, we can use the formula:
Density = Mass / Volume
First, we need to determine the volume of the rock.
The initial volume of the water in the graduated cylinder was 20 ml. After the rock was added, the water level rose to 23 ml. This means that the volume occupied by the rock is equal to the difference, which is 23 ml - 20 ml = 3 ml.
Now, we can calculate the density:
Density = Mass / Volume
Density = 6 g / 3 ml
But we need to convert the volume from milliliters (ml) to grams (g) since the mass is given in grams. To do this, we need to know the density of water, which is approximately 1 g/ml.
So, the volume in grams is 3 ml x 1 g/ml = 3 g.
Now we can calculate the density:
Density = 6 g / 3 g
Density = 2 g/ml
Therefore, the density of the rock is 2 g/ml.