The relationship between weight and mass is explained by the equation:
\[ \text{Weight} = \text{Mass} \times \text{Acceleration due to gravity} \]
In other words, weight is the product of an object's mass and the acceleration due to gravity (usually denoted as \( g \), approximately \( 9.81 , \text{m/s}^2 \) on the surface of the Earth).
To summarize:
- Weight (W) is measured in newtons (N).
- Mass (m) is measured in kilograms (kg).
- Acceleration due to gravity (g) is typically \( 9.81 , \text{m/s}^2 \) at Earth's surface.
So the correct formulation is:
\[ \text{Weight} = m \times g \]
This means that, if you know the mass of an object, you can calculate its weight by multiplying by the acceleration due to gravity.
In clear terms:
- The weight is not the sum of the weight and the acceleration due to gravity.
- The weight is not the mass plus the acceleration due to gravity.
- The weight is the product of the mass and the acceleration due to gravity.
So the answer to your question is that weight is the product of the mass and the acceleration due to gravity.