How is weight defined in relation to mass?

Weight is defined as the force exerted by an object due to gravity acting on its mass. Mathematically, weight can be expressed using the formula ( W = mg ), where ( W ) is weight, ( m ) is mass, and ( g ) is the acceleration due to gravity. This formula illustrates that as mass increases, weight also increases, given that gravity remains constant.

Understanding that weight is a force is crucial because it highlights the dependence on gravitational pull, which can vary depending on the celestial body (like the Earth, Moon, or Mars) where the mass is located. This characteristic of weight distinguishes it from mass, which is a measure of how much matter is present in an object and does not change with location.

Recognizing the definition of weight helps in comprehending various physical phenomena, such as why an object weighs less on the Moon than it does on Earth, due to the difference in gravitational acceleration. This understanding lays the groundwork for understanding forces, motion, and other fundamental concepts in mechanics.