Gravity force between Earth and Moon from this angle

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SUMMARY

The discussion focuses on calculating the resultant gravitational force acting on the Moon due to both the Earth and the Sun. The user initially attempted to use a simplified formula involving Earth's gravitational acceleration (9.82 m/s²) and the mass ratio of the Moon to Earth (1/81), but this approach was incorrect. The correct method involves applying Newton's Law of Universal Gravitation to determine the individual gravitational forces exerted by the Earth and the Sun on the Moon, followed by vector addition to find the resultant force.

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Homework Statement


Hello the text is in swedish but ill try my best to translate,
What it says is:
Determine the resultant force on the moon with regard to thr gravitation force from the sun and the Earth when it's in this position shown in the figure [ picture http://m.imgur.com/AfJOVZo ]
J represents Earth and M represents the moon, i hope you can help me! I will be very grateful if you do!

I tried 9.82 x 1/81 (moon weight to earth) but it was wrong!
It has to do with Newtons laws though (9.82 for Earth gravity force)

Homework Equations

The Attempt at a Solution

 
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Hint: Look up Newton's law of universal gravity.
 
The Sun and Earth will exert separate gravitational forces on the moon. Try determining these forces first. Once you have them, you can use the concept of vector addition.
 

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