Gravity on the Moon?

📌 CONCEPT: The force of gravitational attraction between two objects depends on their masses and the distance between them, as described by the Universal Law of Gravitation.

📐 RULE / FORMULA: According to the Universal Law of Gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them, given by F ∝ (m1 × m2) / r^2.

💡 WORKED EXAMPLE: If you weigh 600 N on Earth, and the Moon has 1/6th of Earth's mass and radius, the gravitational force between you and the Moon would be 1/6th of the force on Earth, since the force is proportional to the mass of the celestial body. Let's calculate the force on the Moon: F_Moon = (1/6) × F_Earth = (1/6) × 600 N = 100 N.

⚠️ COMMON MISTAKE: Students often mistakenly assume that the force of gravitational attraction is directly proportional to the mass of the celestial body, without considering the inverse square law and the actual mass and radius of the Moon.