Gravity of Sun at the Earth's Orbit

In summary, to calculate the acceleration due to gravity of the sun at the distance of Earth's orbit, you can use Newton's universal gravitational law or a=GM/r^2, where G is the gravitational constant, M is the mass of the sun, and r is the distance between the sun and Earth. The value of this acceleration will be the same for all bodies at the same position relative to the sun.
  • #1
Weave
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Homework Statement


What is the acceleration due to gravity of the sun at the distance of the Earth's orbit?



Homework Equations


Confused on which one to use



The Attempt at a Solution

 
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  • #2
The sun attract a body according to Newton's universal gravitational law (falling apple), [tex]F_G[/tex]. The acceleration of a body due to this force will then be

[tex]a = \frac{F_G}{m}[/tex]

where m is the mass of the body. Will this acceleration be the same for all bodies at the same position w.r.t. the sun? Why?
 
  • #3
You can also use a=GM/r^2 where G is the Gravitational constant, M is the mass of the Sun (in kg if you use 6.67e-11 for G) and r is the Earth Sun distance in meters (again, if you use 6.67e-11 for G).
 

Related to Gravity of Sun at the Earth's Orbit

What is the "Gravity of Sun at the Earth's Orbit"?

The "Gravity of Sun at the Earth's Orbit" refers to the gravitational pull exerted by the Sun on the Earth at its orbital distance. This force is responsible for keeping the Earth in its orbit around the Sun.

How is the "Gravity of Sun at the Earth's Orbit" calculated?

The "Gravity of Sun at the Earth's Orbit" is calculated using Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. This means that as the distance between the Sun and the Earth increases, the force of gravity decreases.

What is the value of the "Gravity of Sun at the Earth's Orbit"?

The value of the "Gravity of Sun at the Earth's Orbit" is approximately 9.8 m/s², which is the same as the acceleration due to gravity at the Earth's surface. This means that an object at the Earth's orbital distance will experience the same gravitational force as an object on the Earth's surface.

How does the "Gravity of Sun at the Earth's Orbit" affect the Earth?

The "Gravity of Sun at the Earth's Orbit" is essential for maintaining the Earth's orbit around the Sun. Without this force, the Earth would fly off into space in a straight line. Additionally, the force of gravity also affects the tides on Earth, as the Moon's gravitational pull is also a factor in the tides.

Can the "Gravity of Sun at the Earth's Orbit" change?

The "Gravity of Sun at the Earth's Orbit" can change slightly due to various factors such as the Earth's orbit around the Sun, changes in the Sun's mass, and the gravitational pull of other planets in the solar system. However, these changes are minimal and do not significantly affect the Earth's orbit or daily life on Earth.

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