Here's the breakdown:
* 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: The more massive the objects, the stronger the gravitational pull.
* Inversely proportional to the square of the distance between their centers: The farther apart the objects are, the weaker the gravitational force.
* Calculating the Force: We can calculate the force of gravity between the Sun and Earth using the following formula:
* F = G * (m1 * m2) / r²
* Where:
* F is the force of gravity
* G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N⋅m²/kg²)
* m1 is the mass of the Sun (approximately 1.989 × 10³⁰ kg)
* m2 is the mass of the Earth (approximately 5.972 × 10²⁴ kg)
* r is the distance between the centers of the Sun and Earth (approximately 1.496 × 10¹¹ m)
* Result: Plugging in the values, we get a force of approximately 3.53 × 10²² Newtons.
Key Points:
* This gravitational force is what keeps Earth in orbit around the Sun.
* The force is constantly acting on Earth, even though we don't feel it directly.
* It's important to note that the distance between the Sun and Earth isn't constant, so the force of gravity varies slightly throughout the year.