Combined gravitational field strength

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SUMMARY

The combined gravitational field strength produced by two masses, 5 kg and 10 kg, located at coordinates (1,0) and (1,1) respectively, at the point (0,0) is calculated using the formula g = GM/r². The correct approach involves vector addition of the gravitational fields, which results in a total gravitational field strength of 6.16 x 10^-10 N/kg at an angle of 22.5 degrees. The initial attempt to simply sum the magnitudes of the gravitational fields was incorrect due to the differing directions of the fields.

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Homework Statement



2 masses, 5k and 10kg are fixed in place at the coordinates 1,0 and 1,1 respectively. what combined gravitational field strength do they produce at the point 0,0?

Homework Equations



g = GM/r^2

The Attempt at a Solution


total g = G(5)/(1)^2 +G(5)/2
not the right answer though -- answer is 6.16 X 10^-10 @ 22.5 degrees
please help!
 
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You can't add them like that because the 2 fields point in different directions. You have to add them vectorially, using the Pythagorean theorem.
 

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