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Gravitational Force Equation:
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The Gravitational Force Equation, also known as Newton's Law of Universal Gravitation, describes the attractive force between two masses. It states that every point mass attracts every other point mass by a force acting along the line intersecting both points.
The calculator uses the gravitational force equation:
Where:
Explanation: The force is directly proportional to the product of the two masses and inversely proportional to the square of the distance between them.
Details: This fundamental force governs planetary motion, tides, and the structure of the universe. It's essential for astrophysics, space exploration, and understanding celestial mechanics.
Tips: Enter masses in kilograms and distance in meters. All values must be positive numbers. The distance must be greater than zero.
Q1: What is the gravitational constant (G)?
A: It's a physical constant that determines the strength of gravity in the equation. Its value is approximately 6.674 × 10⁻¹¹ N·m²/kg².
Q2: Why is the force so small for everyday objects?
A: Because G is extremely small (10⁻¹¹), so the force only becomes significant for very large masses (like planets).
Q3: Does this equation work for any distance?
A: It works well for point masses and spherical objects at distances greater than their radii. For very small distances or strong fields, general relativity is needed.
Q4: How does this relate to weight?
A: Your weight is the gravitational force between you and Earth. It's calculated using this equation with Earth's mass and radius.
Q5: Why is the distance squared?
A: This inverse-square law means gravity weakens with the square of distance - double the distance, force becomes 1/4 as strong.