Question

jenny measured the mass and the volume of an object. she then determined the density of the object by dividing the objects mass by its volume (d = \\(\frac{m}{v}\\)).
which value would most likely represent the density of the object?
\\(\bigcirc\\) -1 g/cm³
\\(\bigcirc\\) 4 m/s
\\(\bigcirc\\) -3 m/s
\\(\bigcirc\\) 8 g/cm³

Explanation:

Step1: Analyze units

Density formula \(d=\frac{m}{V}\), units of density are \(g/cm^{3}\) or \(kg/m^{3}\). Option \(4\ m/s\) is speed unit (\(m/s\)), option \(- 3\ N\) is force unit (\(N\)), they are not density units.

Step2: Analyze physical meaning

Density of an object is non - negative (mass \(m\geq0\), volume \(V > 0\) for a real object), so \(-1\ g/cm^{3}\) is not possible.

Answer:

\(4\ g/cm^{3}\)