Please answer each questions. [Photo below]1. How does Newton’s Law of Universal Gravitation relate to Law of Interaction?__________________________________________________________________________________2. What is the relationship of the distance of two bodies to gravitational force?__________________________________________________________________________________3. If the masses of two objects increase, what will happen to the force of gravitation?__________________________________________________________________________________4. Suppose that an apple at the top of a tree is pulled by earth gravity with a force of 1 N. if the tree were twice as tall, would the force of gravity on the apple be only ¼ as strong? Explain your answer.__________________________________________________________________________________ Newton thus proposed his Law of Universal Gravitation stated as follow:"Every object in the universe attracts every other object with a forceproportional to the product of the objects' masses and inversely proportional tothe square of the distance between them. This force acts along the line joiningthe two bodies."To convert this relation into an equation, use the proportionality constant Gcalled the universal gravitational constant. The equation isFgm¡m2= Gwhere:Fg is the forceGis the gravitational constant 6.67x10-11 N-m2/kg?m, and m2 are the masses of the objectsd is the distance between the centers of the objectsCalculating gravitational force and acceleration due to gravityGravity is universal. Newton's conclusion about the magnitude of gravitational forceis summarized symbolically asG* m1•m2Fgrav =d2Fgrav = force of gravity between two objectsG = 6. 67x10-ii N-m2/kg?mı = mass of object 1m2 = mass of object 2d = distance separating the object's center1. How does Newton's Law of Universal Gravitation relate to Law of Interaction?2. What is the relationship of the distance of two bodies to gravitational force?3. If the masses of two objects increase, what will happen to the force ofgravitation?4. Suppose that an apple at the top of a tree is pulled by earth gravity with a forceof 1 N. if the tree were twice as tall, would the force of gravity on the apple be only4 as strong? Explain your answer.2

1. The law of interaction is the third law of motion, which states that every action has an equal…

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 65PQ

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Please answer each questions. [Photo below] 1. How does Newton’s Law of Universal Gravitation relate to Law of Interaction? __________________________________________________________________________________ 2. What is the relationship of the distance of two bodies to gravitational force? __________________________________________________________________________________ 3. If the masses of two objects increase, what will happen to the force of gravitation? __________________________________________________________________________________ 4. Suppose that an apple at the top of a tree is pulled by earth gravity with a force of 1 N. if the tree were twice as tall, would the force of gravity on the apple be only ¼ as strong? Explain your answer. __________________________________________________________________________________

Newton thus proposed his Law of Universal Gravitation stated as follow:
"Every object in the universe attracts every other object with a force
proportional to the product of the objects' masses and inversely proportional to
the square of the distance between them. This force acts along the line joining
the two bodies."
To convert this relation into an equation, use the proportionality constant G
called the universal gravitational constant. The equation is
Fg
m¡m2
= G
where:
Fg is the force
Gis the gravitational constant 6.67x10-11 N-m2/kg?
m, and m2 are the masses of the objects
d is the distance between the centers of the objects
Calculating gravitational force and acceleration due to gravity
Gravity is universal. Newton's conclusion about the magnitude of gravitational force
is summarized symbolically as
G* m1•m2
Fgrav =
d2
Fgrav = force of gravity between two objects
G = 6. 67x10-ii N-m2/kg?
mı = mass of object 1
m2 = mass of object 2
d = distance separating the object's center
1. How does Newton's Law of Universal Gravitation relate to Law of Interaction?
2. What is the relationship of the distance of two bodies to gravitational force?
3. If the masses of two objects increase, what will happen to the force of
gravitation?
4. Suppose that an apple at the top of a tree is pulled by earth gravity with a force
of 1 N. if the tree were twice as tall, would the force of gravity on the apple be only
4 as strong? Explain your answer.
2

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