Understanding the Concepts
* Force of Gravity: The force that attracts any two objects with mass towards each other.
* Newton's Law of Universal Gravitation: This law describes the force of gravity between two objects. The formula is:
* F = (G * m1 * m2) / r^2
* F = Force of gravity
* G = Gravitational constant (approximately 6.674 x 10^-11 N m^2/kg^2)
* m1 = Mass of the first object (in this case, the person)
* m2 = Mass of the second object (in this case, the Earth)
* r = Distance between the centers of the two objects (radius of the Earth)
Calculations
1. Mass of the Earth: The mass of the Earth is approximately 5.972 x 10^24 kg.
2. Radius of the Earth: The average radius of the Earth is approximately 6,371,000 meters.
3. Plug in the values:
* F = (6.674 x 10^-11 N m^2/kg^2 * 80.0 kg * 5.972 x 10^24 kg) / (6,371,000 m)^2
4. Calculate:
* F ≈ 784.8 N
Result
The magnitude of the force of gravity on a person with a mass of 80.0 kg is approximately 784.8 Newtons. This is also known as the person's weight.
