Newton's Law of Universal Gravitation
The force of gravity (F) between two objects is calculated using this formula:
* F = G * (m1 * m2) / r²
Where:
* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)
* m1 and m2 are the masses of the two objects
* r is the distance between their centers
Let's break down the changes:
1. Mass Triples: If both masses (m1 and m2) triple, the numerator of the equation becomes (3m1 * 3m2) = 9(m1 * m2). The force of gravity increases by a factor of 9.
2. Distance Doubles: If the distance (r) doubles, the denominator of the equation becomes (2r)² = 4r². This means the force of gravity decreases by a factor of 4.
Combined Effect
Since the force of gravity increases by a factor of 9 due to the mass change and decreases by a factor of 4 due to the distance change, the overall effect is:
* Force of Gravity increases by a factor of 9/4 or 2.25
In conclusion: Tripling the masses and doubling the distance between them will result in a 2.25 times stronger force of gravity.
