Which equation correctly defines weight?

Weight is defined as the force exerted on an object due to gravity, and it is directly proportional to the mass of the object and the strength of the gravitational field acting on it. The correct equation for weight can be expressed mathematically as:

Weight = Mass × Gravitational Field Strength

This relationship indicates that as either the mass of an object or the strength of the gravitational field increases, the weight of the object also increases. Gravitational field strength is typically measured in newtons per kilogram (N/kg), and mass is measured in kilograms (kg). Consequently, when multiplying these two quantities together, the result is weight in newtons (N).

Understanding this formula is crucial when calculating the weight of objects on different celestial bodies, as gravitational field strength varies across locations. For example, an object weighs less on the Moon than on Earth due to the Moon's weaker gravitational field strength, even though its mass remains constant.

In contrast, the other options represent incorrect relationships between mass and gravitational field strength, as they do not reflect the nature of force and how weight is determined.