Understanding the Concepts
* Newton's Law of Universal Gravitation: This law states that every object in the universe attracts every other object with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them. The formula is:
F = G * (m1 * m2) / r^2
Where:
* F is the force of gravity
* G is the gravitational constant (approximately 6.674 x 10^-11 N m^2/kg^2)
* m1 is the mass of the first object (the apple)
* m2 is the mass of the second object (the Earth)
* r is the distance between the centers of the two objects
* Mass of an Apple: A typical apple has a mass of about 0.1 kg.
* Mass of the Earth: The Earth's mass is approximately 5.972 x 10^24 kg.
* Radius of the Earth: The Earth's average radius is about 6,371 km (6,371,000 m).
Calculating the Force
1. Plug in the values:
F = (6.674 x 10^-11 N m^2/kg^2) * (0.1 kg) * (5.972 x 10^24 kg) / (6,371,000 m)^2
2. Calculate:
F ≈ 0.98 N (Newtons)
Conclusion:
The gravitational attraction of an apple on Earth is approximately 0.98 Newtons. This is the force that pulls the apple downwards, causing it to fall when dropped.
Important Note: This calculation assumes the apple is at the Earth's surface. If the apple were higher up, the force of gravity would be slightly less because the distance 'r' would be greater.
