During a solar eclipse calculate forces.etc

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During a solar eclipse, the gravitational forces between the moon, Earth, and sun can be calculated using Newton's law of universal gravitation. The formula F=(G*M1*M2)/R^2 is essential, where R is the distance between the centers of the objects, not their radii. A user attempted to calculate the force exerted on the moon by the sun but received an incorrect answer due to a misunderstanding of units and the equation's application. The correct approach requires using the square of the distance in the denominator and ensuring that the gravitational constant G is in the proper units of m^3/kg/s^2. Clarification on these points is crucial for accurate calculations in gravitational force problems.
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During a solar eclipse...calculate forces...etc

Homework Statement



During a solar eclipse, the moon, Earth, and sun lie on the same line, with the moon between Earth and the sun.
(a) What force is exerted on the moon by the sun?
__________N
(b) What force is exerted on the moon by Earth?
__________N
(c) What force is exerted on Earth by the sun?
__________N

Homework Equations



F=(G*M1*M2)/R^2

The Attempt at a Solution



scroll down.
 
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R is the distance between the centres of the objects -- not the radius.
(it's R because it's the radius of the orbit)
 
mgb_phys said:
R is the distance between the centres of the objects -- not the radius.
(it's R because it's the radius of the orbit)

ok so for part A i did:

G=6.67*10^-11
Mass of moon: 7.36*10^22 kg
Mass of sun: 1.99*10^30 kg
dist between sun and moon: 1.5*10^11 m

(6.67*10^-11)(7.36*10^22)(1.99*10^30) ALL OVER (1.5*10^11) and i got 6.51e31

but it says it's incorrect...
should i be converting to Newtons?
 
G=6.67*10-11 -- you are missing the units! G is not a number like pi. It is a physical constant, which means its value depends on the units in which it is represented.
 
D H said:
G=6.67*10-11 -- you are missing the units! G is not a number like pi. It is a physical constant, which means its value depends on the units in which it is represented.

alright then.. i don't know what the units would be in this case for G. i just know it's a universal constant. i never knew i would have to convert it somehow, and either way i still don't know how right now :(
 
It is 6.673*10-11 m3/kg/s2. So of course you got the wrong answer when you mixed meters and kilometers.
 
D H said:
It is 6.673*10-11 m3/kg/s2. So of course you got the wrong answer when you mixed meters and kilometers.

thank you, but...that is very confusing, and my teacher failed to mention those units in class. now i REALLY am confused as to how to incorporate it into the equation!
 
Sorry. For some reason I saw you using kilometers. You did use meters.

You're problem is here:

lettertwelve said:
(6.67*10^-11)(7.36*10^22)(1.99*10^30) ALL OVER (1.5*10^11) and i got 6.51e31

What is the equation for the gravitational force?
 
D H said:
What is the equation for the gravitational force?

for which planet? i know that for Earth we should multiply the number by 10 to get it in Newtons from Kilograms
 
  • #10
I am talking about Newton's universal law of gravitation. You applied it incorrectly.
 
  • #11
D H said:
I am talking about Newton's universal law of gravitation. You applied it incorrectly.

it's Fnet=ma
and F of gravity ~ (m1*m2)/d^2

how did i apply it incorrectly
 
  • #12
You divided by the distance, not the square of the distance.
 
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