Question

1. Rank the following in terms of increasing density:
A. A100 g object with a volume of 25 cubic centimeters
B. A 200 g object with a volume of 100 cubic centimeters
C. A 100 g object with a volume of 100 cubic centimeters
D. A 400 g object with a volume of 50 cubic centimeters

Answer 1

Answer on Question #69470, Physics / Mechanics | Relativity

Rank the following in terms of increasing density:

A. A 100 g object with a volume of 25 cubic centimeters

B. A 200 g object with a volume of 100 cubic centimeters

C. A 100 g object with a volume of 100 cubic centimeters

D. A 400 g object with a volume of 50 cubic centimeters

Solution:

We use the equation for body density

$$\rho = \frac{m}{V}$$

Where, $m$ is the mass of object, $V$ is the volume of object and $\rho$ it's the density

A. $\rho = 100\ \mathrm{g} / 25\ \mathrm{cm}^3 = 4\ \mathrm{g} / \mathrm{cm}^3$

B. $\rho = 200\ \mathrm{g} / 100\ \mathrm{cm}^3 = 2\ \mathrm{g} / \mathrm{cm}^3$

C. $\rho = 300\ \mathrm{g} / 100\ \mathrm{cm}^3 = 3\ \mathrm{g} / \mathrm{cm}^3$

D. $\rho = 400\ \mathrm{g} / 50\ \mathrm{cm}^3 = 8\ \mathrm{g} / \mathrm{cm}^3$

We obtain in terms of density increase: B. C. A. D.

Answer: B. C. A. D.