A block of material has a density $\rho$.A second block of equal mass has twice the volume of the first.What is the density of the second block?
A)$\rho$
B)2$\rho$
C)$\rho$/2
D)4$\rho$
E)$\rho$/4

Question

Quizplus · Accepted Answer

Density is defined as mass divided by volume, or ρ = m/V.

Let's assume that the first block has mass m1 and volume V1, then its density is:

ρ1 = m1/V1 = F1F1F1S1ρF1F1F10

Since the second block has the same mass as the first one, we can write:

m1 = m2

We also know that the volume of the second block is twice the volume of the first one:

V2 = 2V1

Using the formula for density, we can find the density of the second block:

ρ2 = m2/V2 = m1/V2

Substituting the expressions for m1 and V2, we get:

ρ2 = m1/V2 = m1/2V1 = (1/2)(m1/V1) = (1/2)ρ1

Therefore, the density of the second block is half the density of the first one:

ρ2 = F1F1F1S1ρF1F1F10/2 = F1F1F1S1ρF1F1F10/2, which is answer C.

A Block of Material Has a Density ρ\rhoρ A Second Block of Equal Mass Has Twice the Volume

A Block of Material Has a Density $\rho$ A Second Block of Equal Mass Has Twice the Volume