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Which one of the following statements IS tme for the relation F = ^ ? (All symbols have their usual meanings)
Explanation
In the relation F = G m1 m2 / r², the quantity G represents the Universal Gravitational Constant [1]. Unlike the acceleration due to gravity (g), which varies based on location, altitude, and the mass of the planet, G is a universal constant that remains the same everywhere in the universe [2]. Its value is approximately 6.674 × 10⁻¹¹ N m²/kg² and does not depend on the local value of gravity or the specific material properties of the masses involved [2]. While g is maximum at the Earth's surface and decreases with height or depth, G remains constant. Furthermore, G is used to calculate the gravitational force between any two masses in the universe, not just when Earth is one of the bodies. Therefore, statement 4 is the only true statement regarding the nature of G.
Sources
- [1] https://imagine.gsfc.nasa.gov/observatories/learning/swift/classroom/law_grav_guide.html
- [2] https://www.britannica.com/science/gravitational-constant
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