What is the relationship between mass and weight?

Mass and weight are often used interchangeably in everyday language, but they are two distinct concepts in physics.

Mass is a measure of the amount of matter in an object and is typically measured in kilograms. It is an intrinsic property of an object and does not change, regardless of its location in the universe.

Weight, on the other hand, is a force that is exerted on an object due to gravity. It is the force with which the Earth or another celestial body pulls an object towards its center. Weight is measured in newtons or pounds and is dependent on the gravitational pull of the object being weighed.

The relationship between mass and weight can be described by the formula:

Weight = mass x acceleration due to gravity

This formula shows that weight is directly proportional to mass and the acceleration due to gravity. In general, an object with a greater mass will have a greater weight, assuming the acceleration due to gravity remains constant.