Understanding the Relationship
* Weight (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 constant acceleration experienced by objects falling freely near the Earth's surface. It's approximately 9.81 m/s².
The Formula
The relationship between weight, mass, and acceleration due to gravity is:
* W = m * g
Solving for Mass
To find the mass (m), we can rearrange the formula:
* m = W / g
Calculation
1. Weight (W) = 45.32 N
2. Acceleration due to gravity (g) = 9.81 m/s²
3. Mass (m) = 45.32 N / 9.81 m/s² ≈ 4.62 kg
Therefore, the mass of the object is approximately 4.62 kg.