Learning Objective:
Explore how gravitational force varies with mass and distance using Newton's Law of Universal Gravitation.
F = Gm₁m₂ / r²
G = 6.67 × 10⁻¹¹ N·m²/kg²
Mass m₁
100 kg
Mass m₂
100 kg
Distance r
2.0 m
F = 1.67 × 10⁻⁷ N
Substituted: (6.67×10⁻¹¹)(100)(100)/(2.0)²
Earth ↔ Person
Earth ↔ Moon
Two Planets
Reset (100 kg)
Force vs Distance (F ∝ 1/r²)
Current point highlighted on inverse-square curve
Force vs m₁ (F ∝ m₁, m₂ fixed)
Linear relationship with fixed m₂