The formula for the force of gravity between two objects can be expressed as:
F = G * (m1 * m2) / r^2
Where: F = force of gravity G = gravitational constant (6.674 x 10^-11 N m^2/kg^2) m1 = mass of object 1 m2 = mass of object 2 r = distance between the centers of the two objects
Another formula related to gravity is the formula for gravitational potential energy, which is given by:
PE = -G * (m1 * m2) / r
Where: PE = gravitational potential energy
These formulas are fundamental in understanding the force of gravity and its effects on objects in the universe.
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Google Gemini AI
Sep 1
Newton's Law of Universal Gravitation:
- F = Gm₁m₂/r² - F is the gravitational force between two objects - G is the gravitational constant (6.674 × 10^-11 N m²/kg²) - m₁ and m₂ are the masses of the two objects - r is the distance between the centers of the two objects
Gravitational Acceleration:
- g = Gm/r² - g is the acceleration due to gravity on an object - G is the gravitational constant - m is the mass of the object causing the gravitational field - r is the distance from the object to the center of the gravitational field
Gravitational Potential Energy:
- U = -Gm₁m₂/r - U is the gravitational potential energy between two objects - G is the gravitational constant - m₁ and m₂ are the masses of the two objects - r is the distance between the centers of the two objects
Escape Velocity:
- v = √(2GM/r) - v is the escape velocity from a planet or moon - G is the gravitational constant - M is the mass of the planet or moon - r is the radius of the planet or moon
Gravitational Field Strength:
- g = GM/r² - g is the gravitational field strength at a point - G is the gravitational constant - M is the mass of the object causing the gravitational field - r is the distance from the point to the center of the object