What Is the Relation Between Mass (m) and Weight?

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Detailed Solution

The relation between mass and weight is Weight = Mass × Gravitational Acceleration (W = m × g).

Mass is the amount of matter in a body, while weight is the force with which Earth attracts that body toward its center. Weight depends on gravity, but mass remains the same everywhere.

Formula

W = m × g

W = Weight (in Newtons)
m = Mass (in kilograms)
g = Acceleration due to gravity (9.8 m/s² on Earth)

Example

If an object has a mass of 10 kg:

Weight = 10 × 9.8 = 98 N

Difference Between Mass and Weight

Mass	Weight
Amount of matter	Force due to gravity
Constant everywhere	Changes with gravity
Measured in kilograms	Measured in newtons
Scalar quantity	Vector quantity

On the Moon, where gravity is one-sixth of Earth’s, an object’s weight reduces, but its mass stays the same.

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