An object of mass 60g is placed in a displacement/eureka with water filled exactly level with the spout. The water that is displaced is collected in a measuring cylinder. The water in the measuring cylinder is measured to have a volume of 4.0cm^3. What is the density of the object?
a) 15 g/cm^3
b) 240 g/cm^3
c) 15 kg/m^3
d) 240 kg/m^3
To find the density of the object, we can use the formula:
Density = Mass / Volume
Given:
Mass of the object = 60g
Volume of the water displaced = 4.0cm^3
First, we convert the mass to kg because the SI unit for mass is kilograms. To convert grams to kilograms, we divide by 1000.
Mass in kg = 60g / 1000 = 0.06 kg
Now, we can substitute the values into the formula:
Density = 0.06 kg / 4.0 cm^3
To solve this equation, we need to convert the units of cm^3 to m^3 because the SI unit for volume is cubic meters. To convert cubic centimeters to cubic meters, we divide by 1000000.
Volume in m^3 = 4.0 cm^3 / 1000000 = 0.000004 m^3
Now, we can calculate the density:
Density = 0.06 kg / 0.000004 m^3
Simplifying this equation, we divide 0.06 by 0.000004:
Density = 15000 kg/m^3
The density of the object is 15000 kg/m^3.
Therefore, the correct answer is c) 15 kg/m^3.
To find the density of the object, we need to use the formula:
Density = Mass / Volume
First, we need to convert the mass of the object from grams to kilograms.
Given: Mass = 60g
Converting 60 grams to kilograms:
Mass = 60g / 1000g/kg = 0.06 kg
Next, we need to convert the volume of water displaced from cubic centimeters (cm^3) to cubic meters (m^3).
Given: Volume = 4.0 cm^3
Converting 4.0 cm^3 to cubic meters:
Volume = 4.0 cm^3 / (100 cm/m)^3 = 4.0 x 10^-6 m^3
Now, we can calculate the density using the formula:
Density = Mass / Volume = 0.06 kg / 4.0 x 10^-6 m^3
Density = 15 kg/m^3
Therefore, the correct answer is option c) 15 kg/m^3.