The Law Of Universal Gravitation

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Law of Universal Gravitation

“The Law of Universal Gravitation”

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

The “EPOL-APPLE” of SIR ISAAC NEWTON: An Argument

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

WHAT REALLY HAPPENED WITH THE APPLE? According to popular legend, Newton was sitting under an apple tree when the idea struck him that gravity extends beyond the Earth. Perhaps he looked up through tree branches toward the origin of the falling apple and noticed the moon. In any event, Newton had the insight to see that the force between the Earth and the falling apple is the same force that pulls the moon in an orbital path around the Earth, a path similar to a planet’s path around the sun. Prepared by: Mr. Jayson G. Chavez

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WHAT REALLY HAPPENED WITH THE APPLE? Probably the more correct version of the story is that Newton, upon observing an apple fall from a tree, began to think along the following lines: The apple is accelerated, since its velocity changes from zero as it is hanging on the tree and moves toward the ground.

Note: Observe the movement of the apple!

Observe the movement of the apple! Prepared by: Mr. Jayson G. Chavez

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Analyze the following graphs; are you ready? NO PAIN, NO GAIN!!!

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Law of Universal Gravitation

Mass and Fgrav. Relationships

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Law of Universal Gravitation

Distance and Fgrav. Relationships

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Still confused??? If yes: Go back to the previous slides… If no: Click next.

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THE LAW OF UNIVERSAL GRAVITATION Every body in the universe attracts every other body with a force that for two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance separating them: mass 1 x mass2

F (g) α

distance2

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

we do should equate this Fgrav to this, we must remove Fgrav= G (mass x mass ) 1 2 But… thing intoofa proportionality mathematical the sign distance2 formula. (α); hence,

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Mathematical Formula for the Law of Universal Gravitation Where: F= gravitational force G= gravitational constant m1= mass of object 1 m2= mass of object 2 d or r= distance between the objects

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I’ll give you 15 seconds to memorize the formula…

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The Gravitational Constant (G)

The value for G is 6.67 x 10-11 N * m2/ kg2. This value is always constant! Kaya nga constant eh!!!

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

Let us summarize our lesson…

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

Prepared by: Mr. Jayson G. Chavez

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Law of Universal Gravitation

Prepare for a Graded Recitation Tomorrow!!!

Prepared by: Mr. Jayson G. Chavez

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FIN Study hard!!! Or else…

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