Gravitational force between the Earth and the Sun

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SUMMARY

The gravitational force between the Earth and the Sun can be calculated using the formula F = Gm1m2/d², where G is the gravitational constant, G = 6.674 x 10^-11 m³/(kg·s²). The masses of the Sun and Earth are 1.9891 x 10³⁰ kg and 5.9736 x 10²⁴ kg, respectively, and the distance between them is 1.503 x 10¹¹ m. The resulting gravitational force is approximately 3.510 x 10²² N, where N represents Newtons, the unit of force.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with units of measurement: meters (m), kilograms (kg), seconds (s), and Newtons (N)
  • Basic algebra for manipulating equations
  • Knowledge of scientific notation and its application in calculations
NEXT STEPS
  • Study the derivation of Newton's Law of Universal Gravitation
  • Learn about the significance of the gravitational constant G in physics
  • Explore the concept of gravitational force in different celestial contexts
  • Investigate the relationship between mass, distance, and gravitational force through practical examples
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and anyone interested in understanding celestial mechanics and gravitational interactions.

yumito
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Homework Statement


The question is what is gravitational force between the Earth and the Sun.
We are given the formula F = Gm1m2/d2. I found the mass of the sun and the Earth the gravitational constant and the distance. my issue is the G of the equation.

G=6.674 x 10^-11 m^3 / kg s^2

my issue is i cannot solve the problem without knowing what the m,kg,and s are of G. i have seen people answer this the following way

Homework Equations



(6.674 x 10^-11 m^3 / kg s^2)(1.9891 x 10^30 kg)(5.9736 x 10^24 kg) / (1.503 x 10^11 m)^2
The answer they got was: 3.510 x 10^22 N

This confuses me because i don't know what their N is either.

The question/TLDR
My guess is ks is just kilograms and m is maybe m2.

What are the variables in gravitational constant.
G= 6.674 x 10^-11 m^3 / kg s^2

m=? kg=? s=?

Also First post :D
 
Last edited:
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yumito said:

Homework Statement


The question is what is gravitational force between the Earth and the Sun.
We are given the formula F = Gm1m2/d2. I found the mass of the sun and the Earth the gravitational constant and the distance. my issue is the G of the equation.

G=6.674 x 10^-11 m^3 / kg s^2

my issue is i cannot solve the problem without knowing what the m,kg,and s are of G. i have seen people answer this the following way


Homework Equations



(6.674 x 10^-11 m^3 / kg s^2)(1.9891 x 10^30 kg)(5.9736 x 10^24 kg) / (1.503 x 10^11 m)^2
The answer they got was: 3.510 x 10^22 N

This confuses me because i don't know what their N is either.

The question/TLDR
My guess is ks is just kilograms and m is maybe m2.

What are the variables in gravitational constant.
G= 6.674 x 10^-11 m^3 / kg s^2

m=? kg=? s=?

Also First post :D

m = meters (unit of distance), kg = kilograms (unit of mass), s = seconds (unit of time), N = Newtons (unit of force). They are units, not numbers.

Admittedly, using 'm' and 's' can lead to confusion sometimes, especially since the letter 'm' is often used in Physics to denote a mass, and 's' is often used in other ways, too.

RGV
 
Hello yumito. Welcome to PF !
 
thanks that helped me out i was quite confused haha. also how do i make the thread solved?
 

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