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?

Respuesta :

Answer:

2 g/cm³

Explanation:

m = Mass of object

v = Volume

ρ = Density

When 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 grams

When 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]