Gravity by John Mayer

Wikipedia

 

 

 

 

 

 

 

#21 - Gravity Relationships

 

 

F = Gm1m2
r2

(Reference Table p. 1)

 

m1, m2  two masses

 

r - distance between
center of masses

 

 

F = Gm1m2
r2

 

 

Fg proportional to
product of two masses

 

 

Fg m1 m2
100 N x

 
              
 y



200 N
2x



y



600 N
2x



3y




400 N
x



4y





150 N
1/2x


3y


 

 

 

 

 


F = Gm1m2
r2

 

Fg , r ??

 

 

 

 

 

inversely square

 

 

 

 

Fg r




x1/4
x2







x1/9
x3









x1/16
x4








x9
x1/3








x16
x1/4




 

 

Ex) force on satellite A is 160,000 N, what is the gravitational force on satellite B?

 

 

 

F = 40,000 N

 

(twice distance, 1/4 the force)

 

 

Ex) A rocket weighs 18,000 N at the earth's surface. If the rocket rises to a height where its distance from the earth is 3 earth radii, its weight will be ...

When an object is on the earth,
it is one earth radius away.

 

 

F = Gm1m2
r2

 

Distance from earth to rocket triples so, ....

 

 

 

....weight is 1/9 as great

 

 

 

w = 2000 N

 

(original weight, 18,000 N)

 

 

 


Enrichment

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