Find the gravitational force between then sun and the earth

Click For Summary
SUMMARY

The gravitational force between the Sun and the Earth can be calculated using Newton's law of universal gravitation, represented by the equation Fg = (G(m1)(m2))/r^2. Using the values of the Sun's mass (2*10^30 kg), Earth's mass (5.97*10^24 kg), and the distance (1.5*10^11 m), the gravitational force is determined to be approximately 3.50*10^22 N. Additionally, for the second problem involving a 5 kg and a 10 kg object with a gravitational force of 1*10^-4 N, the distance calculated is 5.77*10^-7 m. It is essential to include units in calculations to avoid ambiguity.

PREREQUISITES
  • Understanding of Newton's law of universal gravitation
  • Familiarity with gravitational constant (G = 6.67*10^-11 N m²/kg²)
  • Basic algebra for solving equations
  • Knowledge of mass and distance units in physics
NEXT STEPS
  • Study the derivation and applications of Newton's law of universal gravitation
  • Learn about gravitational force calculations involving multiple bodies
  • Explore the concept of gravitational potential energy
  • Investigate the implications of gravitational force in astrophysics
USEFUL FOR

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

Julia Darko
Messages
9
Reaction score
0

Homework Statement


1)Find the gravitational force between then sun (2*10^30 kg) and the Earth (5.97*10^24 kg). Earths distance from the sun is 1.5 * 10^11m.

2) find the distance between a 5 kg object and a 10kg object if their gravitational force is 1*10^-4N.

Homework Equations


Fg= (G(m1)(m2))/r^2

The Attempt at a Solution


1) (6.67*10^-11)(5.97*10^24)(10)(5)/(1.5*10^11)^2= 3.50*10^22

2) (6.67*10^-11)(10)(5)(1*10^-4)/r^2=
√3.33*10^-13 = √r^2

So... 5.77*10^-7

Yes... these "answers" may look chaotic which is why I am here for some assistance. :/
 
Physics news on Phys.org
In doing question 1, where is the mass of the Earth in the equation? What are the 10 and the 5 doing in the equation?
In doing question 2, the 1*10^-4 should be on the other side of the equation.

Chet
 
Julia Darko said:

Homework Statement


1)Find the gravitational force between then sun (2*10^30 kg) and the Earth (5.97*10^24 kg). Earths distance from the sun is 1.5 * 10^11m.

2) find the distance between a 5 kg object and a 10kg object if their gravitational force is 1*10^-4N.

Homework Equations


Fg= (G(m1)(m2))/r^2

The Attempt at a Solution


1) (6.67*10^-11)(5.97*10^24)(10)(5)/(1.5*10^11)^2= 3.50*10^22

Where is the mass of the sun in the equation above?
Where are the units of your answer?

2) (6.67*10^-11)(10)(5)(1*10^-4)/r^2=
√3.33*10^-13 = √r^2

So... 5.77*10^-7

Yes... these "answers" may look chaotic which is why I am here for some assistance. :/
What is the factor 10-4 for?
What are the units of G?
You need to state the units with your answers, otherwise your calculations are incomplete and ambiguous.
 

Similar threads

  • · Replies 21 ·
Replies
21
Views
2K
Replies
3
Views
2K
  • · Replies 23 ·
Replies
23
Views
4K
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
6
Views
2K
Replies
2
Views
3K
  • · Replies 14 ·
Replies
14
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K