Understanding the Concepts
* Weight: The force of gravity acting on an object's mass. It's measured in Newtons (N).
* Mass: The amount of matter in an object. It's measured in kilograms (kg).
* Gravity: The force that attracts objects with mass towards each other. It's different on different celestial bodies.
Calculations
1. Find the person's mass on Earth:
* We know weight on Earth (W_earth) = 490 N
* We know Earth's gravitational acceleration (g_earth) = 9.8 m/s²
* Using the formula: W = m * g, we can solve for mass (m):
* m = W_earth / g_earth
* m = 490 N / 9.8 m/s²
* m = 50 kg
2. The person's mass on the Moon:
* Mass is an intrinsic property of an object and doesn't change based on location. Therefore, the person's mass on the Moon is still 50 kg.
Important Note: While the person's mass remains the same, their weight on the Moon would be different because the Moon's gravitational acceleration is weaker than Earth's.
