What is the Resultant Gravitational Force on the 8 kg Mass?

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To find the resultant gravitational force on the 8 kg mass at the origin, calculate the gravitational force exerted by the 7 kg and 9 kg masses using the formula F = GMm/r^2, where G is the gravitational constant. The distances from the 7 kg and 9 kg masses to the 8 kg mass can be determined using Pythagorean theorem. The net force on the 8 kg mass is obtained by applying the principle of linear superposition to combine the individual forces from the other two masses. Additionally, the direction of the resultant force can be represented graphically, with multiple choice options illustrating different angles. Understanding these concepts is essential for solving the problem effectively.
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1Three masses are arranged in the (x, y)
plane as shown.

7kg at (-3,1)
8kg at (0,0)
9kg at (1,2)

What is the magnitude of the result-
ing force on the 8 kg mass at the ori-
gin? The universal gravitational constant is
6.6726 × 10^−11 N · m^2/kg^2 . Answer in units
of N.




part 2; Select the figure showing the direction of the
resultant force on the 8 kg mass at the origin. all the mutliple choice aswers show a ray rotating a different amount around the origin




please help, i was sick and missed 2 days of physics and don't understand even wath the question is askeing
if you could even expain it to me it would be wonderful
thanks!
 
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You can calculate the distances from each mass to the 8kg mass by using Pythagoras' theorem.

Force on masses due to gravity is dependent upon each mass as well as radius.

This is the formula: F = \frac{GMm}{r^2}

Use the principle of linear superposition to determine the net force.
 
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