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Newton's Law as an Inverse-Square Law, 1 - Coggle Diagram
Newton's Law as an Inverse-Square Law
Newton's Law of Universal Gravitation ( Newton's 2nd Law)
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Every particle in the universe attracts every other particle with a force whose magnitude is proportional to the product of the masses of the two particles and inversely proportional to the square of the distance between them. The direction of the force lies along the straight line connecting the two particles.
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The gravitational attraction force between two point masses is directly proportional to the product of their masses and inversely proportional to the square of their separation distance. The force is always attractive and acts along the line joining them
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Gravitational Force between a Uniform Sphere and a Particle
The Shell Theorem states that a spherically symmetric object affects other objects as if all of its mass were concentrated at its center.
Isaac Newton proved the Shell Theorem
A spherically symmetric object affects other objects gravitationally as if all of its mass were concentrated at its center
If the object is a spherically symmetric shell (i.e., a hollow ball) then the net gravitational force on a body inside of it is zero.
Newton's Gravitation Being Universal
Newton knew that the force of gravity must somehow be "diluted" by distance.
The force of gravity between the earth and any object is inversely proportional to the square of the distance that separates that object from the earth's center.
The force of gravity follows an inverse square law
Inverse Square Law
one quantity depends inversely upon the square of the other quantity.
The inverse square relation between the force of gravity
inverse: Opposite in effect or nature or order.
Newton concluded that the force of gravity acting on any object must be proportional to its mass
All bodies fall with the same acceleration regardless of their mass or composition (Newton's 2nd Law)
The gravitational force must be directly proportional to the inertial mass
