Question

Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 10²⁴ kg and its moon, with mass 2.40 ✕ 10²² kg, if the average distance between their centers is 2.20 ✕ 10⁸ m.

Answer 1

The magnitude of the gravitational force between the planet and its moon can be calculated using Newton's Law of Universal Gravitation.

Step-by-step explanation:

The magnitude of the gravitational force between the planet and its moon can be calculated using Newton's Law of Universal Gravitation. The formula is:

F = G * (m1 * m2) / r^2

Where F is the force, G is the gravitational constant (6.674 × 10^-11 N·m²/kg²), m1 and m2 are the masses of the two objects (planet and moon), and r is the distance between their centers.

Plugging in the values given in the question:

F = (6.674 × 10^-11 N·m²/kg²) * (7.75 × 10^24 kg) * (2.40 × 10^22 kg) / (2.20 × 10^8 m)^2

Solving this equation will give you the magnitude of the gravitational force in newtons.