Suppose you have three objects of equal mass. The first object has a volume of 5 cm3 and is made of a material of density 2 g/cm3. The second object has a volume of 10 cm3 and is made of a material of density 1 g/cm3. What is the density rho of the material of the third object if its volume is 15 cm3?

2 answers
Question:

Suppose you have three objects of equal mass. The first object has a volume of 5 cm3 and is made of a material of density 2 g/cm3. The second object has a volume of 10 cm3 and is made of a material of density 1 g/cm3. What is the density rho of the material of the third object if its volume is 15 cm3?

Answers

Answer:2 g/cm³Explanation:m = Mass of objectv = Volumeρ = DensityWhen ρ = 2 g/cm³ , v = 5 cm³[tex]\rho=\frac{m}{v}\\\Rightarrow m=\rho v\\\Rightarrow m=2\times 5\\\Rightarrow m=10\ g[/tex]All the objects have same mass, which is 10 gramsWhen v = 5 cm³[tex]\rho=\frac{m}{v}\\\Rightarrow \rho=\frac{10}{5}\\\Rightarrow \rho=2\ g/cm^3[/tex]Density of third object is 2 g/cm³

Answer:Density  ρ= 0.66 [tex]\frac{g}{cm^{3} }[/tex]Explanation:ρ[tex]= \frac{m}{v}[/tex][tex]m= mass[/tex], [tex]v= volume[/tex] ρ[tex]= density[/tex]ρ[tex]*v= m[/tex][tex]2 \frac{g}{cm^{3} } * 5cm ^{3} = 10 g[/tex][tex]1 \frac{g}{cm^{3} } * 10cm ^{3} = 10 g[/tex]ρ[tex]= \frac{10g}{15 cm^{3}}= 0.66[/tex][tex]0.66 \frac{g}{cm^{3} } * 15cm ^{3} = 10 g[/tex]

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