Formula: Gravitation
Newton’s Universal Law of Gravitation:
F = \[G\frac{m_1m_2}{r^2}\]
where:
Formula: Universal Law of Gravitation
The gravitational force of attraction (F) between two bodies of mass m1 and m2 separated by a distance r is:
\[\mathbf{F} = \mathbf{G}\frac{m_1 m_2}{r^2}\]
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F: Gravitational Force of attraction (in Newtons, N).
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\[m_1, m_2\]: Masses of the two objects (in kilograms, kg).
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r (or d in the first part): Distance between the two objects (in meters, m).
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G: The constant of proportionality, called the Universal gravitational constant.
Formula: Acceleration due to gravity
The value of the acceleration due to gravity (g) on the surface of the Earth is given by the formula:
Where:
- g = Acceleration due to gravity (in m/s²).
- G = Newton's Universal Gravitational Constant (≈ 6.67 × 10⁻¹¹ N · m² / kg²).
- M = Mass of the Earth (≈ 6 × 1024 kg).
- R = Radius of the Earth (≈ 6.4 × 10⁶ m).