A metal cube measuring 1.50 cm on a side has a mass of 38.3g. Will this cube float or sink in mercury: your calculations must support your answer.
Calculate the density of the metal and see if it is less that that of mercury. The density of mercury should be looked up. It is about 13.6 g/cm^3, as I recall.
If the density of the metal is less than 13.6 g/cm^3, it wil float.
38.3/1.50
To determine whether the metal cube will float or sink in mercury, we need to compare the density of the cube with the density of mercury.
Density is defined as the mass of an object divided by its volume. Therefore, we need to calculate the density of the cube.
First, let's calculate the volume of the cube. Since it is a cube, all sides have the same length, which is given as 1.50 cm. The volume of a cube is calculated by cubing the length of one side.
Volume of the cube = (1.50 cm)³
Now let's convert the length to meters, as density is typically expressed in kg/m³.
1 cm = 0.01 m
Length of the cube in meters = 1.50 cm * 0.01 m/cm
Now we can calculate the volume of the cube in cubic meters:
Volume of the cube = (1.50 cm * 0.01 m/cm)³
Next, we'll calculate the mass per unit volume, which is the density of the cube:
Density of the cube = mass of the cube / volume of the cube
Density of the cube = 38.3 g / [(1.50 cm * 0.01 m/cm)³]
Now let's compare the density of the cube with the density of mercury.
The density of mercury is approximately 13,600 kg/m³.
If the density of the cube is greater than the density of mercury (13,600 kg/m³), it will sink. If the density of the cube is less than the density of mercury, it will float.
Now, with the formula and calculation provided, you can substitute the values and perform the calculations to determine whether the cube will float or sink in mercury.