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# 3.5 Inertial vs. Gravitational Mass

#gravitationalmass

#inertialmass

#force

#acceleration

written by peter apps

June 8, 2020

## Essential Knowledge 1.C.2 🦍

Gravitational mass is the property of an object or a system that determines the strength of the gravitational interaction with other objects, systems, or gravitational fields.

• a. The gravitational mass of an object determines the amount of force exerted on the object by a gravitational field.

• b. Near Earth’s surface, all objects fall (in a vacuum) with the same acceleration, regardless of their inertial mass.

### Key Concept: Gravitational Mass

Determined by the strength of the gravitational force experienced by the body when in the gravitational field g.

## Essential Knowledge 1.C.3 📊

Objects and systems have properties of inertial mass and gravitational mass that are experimentally verified to be the same and that satisfy conservation principles.

### Key Concept: Inertial Mass

Determined by the acceleration experienced from a given force F.

### Gravitational Mass vs. Inertial Mass

• Gravitational mass is measured by comparing the force of gravity of an unknown mass to the force of gravity of a known mass.

• Inertial mass is found by applying a known force to an unknown mass, measuring the acceleration, and applying Newton's Second Law, a = F/m.

⟶ While these masses are measured in varying applications, they have been experimentally proven to equal the same value; therefore Inertial = Gravitational. Image courtesy of quickmeme.com.

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