Answer :
Let's analyze the given values to determine which one most likely represents the density of the object.
1. [tex]$-1 \, g/cm^3$[/tex]:
- Density is a measure of mass per unit volume, and it cannot be negative. Thus, [tex]$-1 \, g/cm^3$[/tex] does not make physical sense for density.
2. [tex]$4 \, m/s$[/tex]:
- The units here are meters per second (m/s), which is a measure of speed, not density. Therefore, this value does not represent density.
3. [tex]$-3 \, m/s$[/tex]:
- Similar to the previous value, [tex]$-3 \, m/s$[/tex] measures speed with negative value, which is invalid in this context for density. Thus, it doesn't represent density.
4. [tex]$6 \, g/cm^3$[/tex]:
- This value has the appropriate units of grams per cubic centimeter (g/cm^3), which are the correct units for density. Moreover, it is a positive value, consistent with the physical nature of density.
Among all the provided values, the one that most logically and accurately represents the density of the object is:
[tex]\[ 6 \, g/cm^3 \][/tex]
1. [tex]$-1 \, g/cm^3$[/tex]:
- Density is a measure of mass per unit volume, and it cannot be negative. Thus, [tex]$-1 \, g/cm^3$[/tex] does not make physical sense for density.
2. [tex]$4 \, m/s$[/tex]:
- The units here are meters per second (m/s), which is a measure of speed, not density. Therefore, this value does not represent density.
3. [tex]$-3 \, m/s$[/tex]:
- Similar to the previous value, [tex]$-3 \, m/s$[/tex] measures speed with negative value, which is invalid in this context for density. Thus, it doesn't represent density.
4. [tex]$6 \, g/cm^3$[/tex]:
- This value has the appropriate units of grams per cubic centimeter (g/cm^3), which are the correct units for density. Moreover, it is a positive value, consistent with the physical nature of density.
Among all the provided values, the one that most logically and accurately represents the density of the object is:
[tex]\[ 6 \, g/cm^3 \][/tex]
