Find the gravitational force between then sun and the earth

In summary: Additionally, in order to find the distance between the two objects, you need to solve for r in your equation.
  • #1
Julia Darko
9
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. :/
 
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  • #2
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
 
  • #3
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.
 

1. What is the formula for calculating the gravitational force between the sun and the earth?

The formula for calculating the gravitational force between two objects is F = G(m1m2) / r2, where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between them.

2. How do we determine the mass of the sun and the earth for this calculation?

The mass of the sun and the earth can be determined by measuring their gravitational pull on other objects and using the formula F = ma, where F is the gravitational force, m is the mass of the object, and a is the acceleration due to gravity. Alternatively, the mass can also be determined through precise measurements of the objects' orbits and their distance from each other.

3. What is the value of the gravitational constant (G) in this calculation?

The gravitational constant, G, has a value of approximately 6.674 × 10-11 Nm2/kg2. This value is constant and is used in all calculations involving gravitational force.

4. How far apart are the sun and the earth for this calculation?

The average distance between the sun and the earth is approximately 149.6 million kilometers (93 million miles). However, this distance can vary slightly depending on the orbit of the earth around the sun.

5. What is the gravitational force between the sun and the earth?

The gravitational force between the sun and the earth is approximately 3.52 × 1022 N. This is a very large force, but it is balanced by the centrifugal force from the earth's orbit, which keeps the earth in a stable orbit around the sun.

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