F = G * (m1 * m2) / r²
Where:
* F is the force of gravity
* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻²)
* m1 is the mass of the first object
* m2 is the mass of the second object
* r is the distance between the centers of the two objects
Here's how this applies to objects with very different masses:
* Mass matters: The force of gravity is directly proportional to the product of the masses. So, a larger mass will exert a stronger gravitational pull.
* Distance is key: The force of gravity is inversely proportional to the square of the distance. This means that as the distance between objects increases, the force of gravity decreases rapidly.
Example:
Imagine a small asteroid and a large planet. The planet has significantly more mass than the asteroid. While the asteroid has its own gravitational pull, the planet's gravitational pull will be much stronger due to its larger mass. Even if the asteroid is relatively close to the planet, the planet's massive gravitational force will dominate.
Key takeaway:
* Even though objects with very different masses experience gravitational attraction, the larger mass will exert a significantly greater force.
* The distance between the objects also plays a crucial role in determining the strength of the gravitational force.
