1. Newton's Law of Universal Gravitation

The force of gravity between two objects is given by:

F = G * (m1 * m2) / r²

Where:

* F is the gravitational force

* G is the gravitational constant (6.674 × 10⁻¹¹ N⋅m²/kg²)

* m1 and m2 are the masses of the two objects

* r is the distance between their centers

2. Values for Uranus and the Sun

* Mass of Uranus (m1): 8.681 × 10²⁵ kg

* Mass of the Sun (m2): 1.989 × 10³⁰ kg

* Average distance between Uranus and the Sun (r): 2.871 × 10¹² m (approximately)

3. Calculation

Substitute the values into the formula:

F = (6.674 × 10⁻¹¹ N⋅m²/kg²) * (8.681 × 10²⁵ kg) * (1.989 × 10³⁰ kg) / (2.871 × 10¹² m)²

4. Result

F ≈ 3.6 × 10²² N (Newtons)

Therefore, the approximate gravitational force between Uranus and the Sun is 3.6 × 10²² Newtons.

Important Notes:

* This calculation uses the average distance between Uranus and the Sun. The actual force varies slightly as Uranus orbits in an elliptical path.

* This force is the gravitational force between the two bodies' centers of mass.

* It's a massive force, but it's important to remember that it's balanced by Uranus's orbital velocity, which is what keeps it in orbit around the Sun.