Understanding the Concepts
* Newton's Law of Universal Gravitation: This law states that every particle in the Universe attracts every other particle with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
* Gravitational Constant (G): This is a fundamental constant in physics, approximately equal to 6.674 x 10^-11 N⋅m²/kg².
Formula
The formula for gravitational force (F) is:
F = (G * m1 * m2) / r²
Where:
* G = gravitational constant (6.674 x 10^-11 N⋅m²/kg²)
* m1 = mass of the first ball (N)
* m2 = mass of the second ball (N)
* r = distance between the centers of the balls (3 meters)
Calculation
1. Substitute the values:
F = (6.674 x 10^-11 N⋅m²/kg² * N * N) / (3 meters)²
2. Simplify:
F = (6.674 x 10^-11 N⋅m²/kg² * N²) / 9 m²
3. Calculate the result:
F = (7.416 x 10^-11 * N²) N
Result
The gravitational force between the two metal balls is (7.416 x 10^-11 * N²) Newtons.
Important Note: The answer is expressed in terms of N (the weight of the balls). You'll need to know the actual weight of the balls to get a numerical answer for the gravitational force.
