What Is the Magnitude of the Acceleration of the Mass?

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To find the magnitude of the acceleration of an 11 kg mass acted upon by two horizontal forces (8 N north and 6 N east), the net force must be calculated using vector addition. The resultant force is determined using the Pythagorean theorem, yielding a net force of approximately 10 N. Dividing this net force by the mass gives an acceleration of about 0.909 m/s². The initial approach of subtracting the forces was incorrect, as it did not account for their directional components. The discussion emphasizes the importance of using vector analysis for accurate calculations in physics problems.
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Homework Statement



Two horizontal forces act on a 11 kg mass. One force has a magnitude of 8 N and is directed due north. The second force toward the east has a magnitude of 6 N. What is the magnitude of the acceleration of the mass?


Homework Equations



F=ma

a=F(net)/mass


The Attempt at a Solution



Force North = 8
Force East = 6

8-6=2, net force =2

a=2/11

a=.1818


I think that might be wrong, because I feel like there should be vectors or something involved?
 
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I think there should be vectors involved. Find the magnitude of a vector 8N going N and 6N going east--Pythagorean Theorem. Then when you found the resultant of those two forces, take this force and divide it by the mass (11kg); thereby, giving you the acceleration.
 
I know this might be a random question. But where did you get this question??
 

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