Understanding the Concepts
* Weight (Force): Weight is the force of gravity acting on an object's mass. It's measured in Newtons (N).
* Mass: Mass is the amount of matter in an object. It's measured in kilograms (kg).
* Acceleration due to Gravity (g): On Earth, the acceleration due to gravity is approximately 9.8 m/s².
Formula
The relationship between weight, mass, and acceleration due to gravity is:
Weight (W) = Mass (m) * Acceleration due to Gravity (g)
Solving for Mass
1. Rearrange the formula: m = W / g
2. Plug in the values: m = 3920 N / 9.8 m/s²
3. Calculate: m = 400 kg
Therefore, the mass of the piano is 400 kg.