What is the relationship between mass and weight as they relate to the force of gravity?

Weight and mass have a direct relationship governed by the force of gravity. Mass is a measure of the amount of matter in an object, while weight is defined as the force exerted on that mass by gravity. This means that weight is calculated using the formula:

Weight = Mass × Gravitational Acceleration.

Due to this relationship, as mass increases, weight also increases proportionally, assuming that the gravitational acceleration remains constant. Hence, it is accurate to state that weight and mass are proportional to one another. Understanding this relationship is crucial in the field of physics and chemistry, as it helps in calculating the effects of gravity on objects of varying masses in different environments.