Problem 7 - An Introduction to Physical Science

Question

Fill in the blanks with the correct vocabulary word. ______________is mass divided by volume.

Step-by-Step Solution

Answer

Density

Step 1: Understand the Question

The question asks for a term that describes a physical property, which can be calculated by dividing mass by volume.

Step 2: Identify Relevant Concepts

Recall that there is a specific term in physics and chemistry that denotes the quantity of mass per unit volume of a substance.

Step 3: Recall the Term

The term used to describe mass per unit volume is 'density'. Density is calculated using the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Step 4: Fill in the Blank

Using the term identified: Density is mass divided by volume.

Key Concepts

Density

Density is a key concept in physics and chemistry. It is the measure of how much mass an object contains within a specific volume. The formula for density is expressed as \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]. This formula indicates that if you know the mass and volume of an object, you can calculate its density by dividing the mass by the volume.

Mass

Mass refers to the amount of matter in an object. It is commonly measured in grams (g) or kilograms (kg). Unlike weight, which can change depending on gravity, mass is a constant property of an object. So, whether an object is on Earth or the Moon, its mass remains the same. The density of an object increases if its mass goes up while the volume stays constant. Similarly, if the volume decreases while the mass stays constant, the density increases. Think of mass as the 'stuff' inside an object. For example, a bowling ball has more mass than a basketball, even if they are of similar size.

Volume

Volume is the amount of space an object occupies. It is measured in cubic units like cubic centimeters (cm³) or liters (L). To find the volume of a regular-shaped object, like a cube or cylinder, you can use mathematical formulas like \[ \text{Volume of a cube} = \text{side length}^3 \] or \[ \text{Volume of a cylinder} = \pi r^2 h \]. For irregular-shaped objects, volume can be measured by displacement methods, such as submerging the object in water and measuring the water displaced. Volume plays a crucial role in calculating density. If two objects have the same mass but different volumes, the one with the smaller volume will have a higher density.