* Newton's Law of Universal Gravitation: This law states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
* The Equation: The formula for gravitational force is:
F = G * (m1 * m2) / r²
Where:
* F is the force of gravity
* G is the gravitational constant
* m1 and m2 are the masses of the two objects
* r is the distance between their centers
* Doubling the Distance: If you double the distance (r), the force (F) becomes 1/2² = 1/4 of the original force.
Consequences of a Weaker Gravitational Pull:
* Earth's Orbit: Earth would no longer be in a stable orbit around the Sun. It would follow a much wider, elliptical path.
* Orbital Period: Earth's year would be significantly longer, as it would take longer to complete one orbit around the Sun.
* Temperature: With Earth farther away, the amount of sunlight reaching us would decrease significantly, making the planet much colder.
* Climate: This reduction in solar radiation would lead to drastic climate changes, potentially causing a global ice age.
Important Note: This is a hypothetical scenario. The Earth's orbit is not going to double in distance to the Sun anytime soon. The gravitational forces are finely balanced, and any significant changes in the distance between Earth and the Sun would have catastrophic consequences.