Understanding the Concepts
* Weight Force (W): The force of gravity acting on an object's mass. It's measured in Newtons (N).
* Mass (m): The amount of matter in an object. It's measured in kilograms (kg).
* Acceleration due to Gravity (g): The acceleration experienced by objects due to Earth's gravity. On Earth, it's approximately 9.8 m/s².
The Formula
The relationship between weight force, mass, and acceleration due to gravity is:
Weight Force (W) = Mass (m) × Acceleration due to Gravity (g)
Solving for Mass
To find the mass (m), we can rearrange the formula:
Mass (m) = Weight Force (W) / Acceleration due to Gravity (g)
Calculation
1. Given:
* Weight Force (W) = 1000 N
* Acceleration due to Gravity (g) = 9.8 m/s²
2. Substitute:
Mass (m) = 1000 N / 9.8 m/s²
3. Calculate:
Mass (m) ≈ 102 kg
Therefore, the mass of an object with a weight force of 1000 N is approximately 102 kg.
