Gravity of Sun at the Earth's Orbit

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SUMMARY

The acceleration due to gravity of the Sun at the distance of Earth's orbit can be calculated using Newton's universal gravitational law. The formula a = GM/r² is essential, where G is the gravitational constant (6.67e-11 N(m/kg)²), M is the mass of the Sun, and r is the distance from the Sun to the Earth. This acceleration is consistent for all bodies at the same distance from the Sun due to the uniformity of gravitational force in a vacuum.

PREREQUISITES
  • Newton's universal gravitational law
  • Understanding of gravitational constant (G)
  • Basic algebra for manipulating equations
  • Knowledge of mass and distance measurements in physics
NEXT STEPS
  • Calculate the gravitational acceleration at different distances using a = GM/r²
  • Explore the implications of gravitational force on planetary motion
  • Study the effects of gravitational force on other celestial bodies
  • Investigate the relationship between mass and gravitational attraction
USEFUL FOR

Students studying physics, particularly those focusing on gravitational forces and celestial mechanics, as well as educators looking for practical examples of gravitational calculations.

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

a = \frac{F_G}{m}

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?
 
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).
 

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