Here's why:
* Centripetal force is any force that makes an object move in a circular path.
* Gravity is the force of attraction between any two objects with mass. The sun has a massive amount of mass, which exerts a strong gravitational pull on the planets.
This gravitational force acts as the centripetal force, constantly pulling the planet towards the sun, preventing it from flying off in a straight line. The planet's orbital velocity is just right to balance this pull, resulting in a stable orbit.
Here's the equation for the centripetal force in this scenario:
* F = (G * M * m) / r²
Where:
* F is the centripetal force (gravitational force)
* G is the gravitational constant (approximately 6.674 x 10⁻¹¹ N m²/kg²)
* M is the mass of the sun
* m is the mass of the planet
* r is the distance between the planet and the sun
