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what are the factors that effect gravitational force?
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The main factors that affect the gravitational force between two objects are:
1. Masses of the objects
- Gravity is directly proportional to each mass. If either mass increases, the force increases proportionally.
- Newton’s law: F = G (m1 m2) / r^2.
2. Distance between the objects
- Gravity falls off with the square of the distance between their centers (inverse-square law). If the separation doubles, the force becomes one-quarter.
3. The gravitational constant (G)
- G is a universal constant (≈ 6.674×10^−11 N·m^2/kg^2) that sets the strength of gravity in Newtonian physics.
Other important considerations and refinements
- Mass distribution and shape: For extended bodies you must use the distance between centers of mass; non-uniform density or irregular shapes change the net force compared to treating each as a point mass.
- Influence of other masses: Gravitational forces superpose, so additional nearby masses alter the net gravitational field.
- Apparent gravity: Rotation of a planet produces a centrifugal effect that reduces effective weight at the equator; altitude and latitude also change the local value of g = GM/R^2.
- Relativity: In general relativity, gravity is curvature of spacetime produced by mass–energy (including energy, pressure, and momentum). For most everyday problems Newton’s equation is sufficient; at very large masses, high speeds, or in strong fields GR corrections matter.
- No shielding: Gravity cannot be shielded or blocked by matter.
Simple examples: doubling one mass doubles the force; doubling the separation reduces the force to one-fourth; surface gravity of a planet is g = GM/R^2 (depends on planet mass and radius).
1. Masses of the objects
- Gravity is directly proportional to each mass. If either mass increases, the force increases proportionally.
- Newton’s law: F = G (m1 m2) / r^2.
2. Distance between the objects
- Gravity falls off with the square of the distance between their centers (inverse-square law). If the separation doubles, the force becomes one-quarter.
3. The gravitational constant (G)
- G is a universal constant (≈ 6.674×10^−11 N·m^2/kg^2) that sets the strength of gravity in Newtonian physics.
Other important considerations and refinements
- Mass distribution and shape: For extended bodies you must use the distance between centers of mass; non-uniform density or irregular shapes change the net force compared to treating each as a point mass.
- Influence of other masses: Gravitational forces superpose, so additional nearby masses alter the net gravitational field.
- Apparent gravity: Rotation of a planet produces a centrifugal effect that reduces effective weight at the equator; altitude and latitude also change the local value of g = GM/R^2.
- Relativity: In general relativity, gravity is curvature of spacetime produced by mass–energy (including energy, pressure, and momentum). For most everyday problems Newton’s equation is sufficient; at very large masses, high speeds, or in strong fields GR corrections matter.
- No shielding: Gravity cannot be shielded or blocked by matter.
Simple examples: doubling one mass doubles the force; doubling the separation reduces the force to one-fourth; surface gravity of a planet is g = GM/R^2 (depends on planet mass and radius).
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