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### 501-C: Mass vs. Weight 1

• Topic Cluster: Fundamental Forces
• Topic: Conceptual Gravitation
• Objective: Differentiate between mass and weight, including how weight changes in different areas.
• Content: Mass is the total amount of matter or inertia that an object has; weight is the strength of gravity pulling the object downward when it is on a planet.
• Level: 1

#### BACK to Ladder Conceptual Gravitation

In normal language, people use the term "weight" to describe how heavy something is. People more rarely say "mass," but most people's understanding of mass is still that it is a measure of heaviness: heavy things have high mass and light things have low mass. In physics class, the words mass and weight have very precise definitions.

#### Definitions of Mass and Weight

There are actually two definitions of mass!

An object's resistance to changes in motion. If an object with a high inertial mass is not moving, it is difficult to get it to start moving. If an object with a high inertial mass is already moving, it is difficult to make it stop moving or to change direction.

The Law of Universal Gravitation states that all masses attract all other masses. The more gravitational mass an object is, the more other masses are attracted to it.

Whenever you are on a planet, the force of gravity is pulling you downwards. This force is called your weight.

#### Mass and Matter

Mass is very closely related to matter. In fact, in many chemistry textbooks, the definition of mass is given as "the amount of matter in an object," though we do not use this definition in physics class because the term 'amount' is not precisely defined.

All matter (solids, liquids, and gasses), is made of atoms. All atoms are made of protons, neutrons, and electrons. An object's inertia comes entirely from how many protons, neutrons, and electrons it has. Every proton, neutron, and electron contributes a (very) little bit of inertia.

For example, consider YOU! You are made up of about 7 x 10^27 atoms. In every one of those atoms are protons, neutrons, and electrons. Each proton neutron, and electron contributes a little bit of inertia (mass):

particle mass
proton 1.673E-27 kg
neutron 1.675E-27 kg
electron 9.109E-31 kg

Do those numbers seem small? Of course they do! Each proton and neutron adds a tiny amount of mass, and electrons add even less. However, remember that you have about 1029 protons and neutrons in your body, more than you could count in a trillion lifetimes!

#### Questions

For each option, pick either mass or weight.

1. Resistance to changes in motion.
2. The ability of matter to attract other matter gravitationally.
3. The force of gravity pulling an object downward.
4. Has two definitions (inertial and gravitational).
5. Related to the total amount of matter in an object.
6. If you moved to another planet, but you did not add or remove any atoms from you, this quantity would not change.
7. If you moved to another planet, with a different strength of gravity, this quantity would change.
8. If you are in the middle of space, far away from any galaxies or any planets at all, this quantity would be equal to zero.
9. This quantity is a scalar (it has no direction).
10. This quantity is a vector (it has a direction, downward).
11. This quantity is a force.