Two forces acting on an object given in vectors - SOLVED

AI Thread Summary
The discussion focuses on applying Newton's second law to analyze two forces acting on an object. The user splits the forces into F1 and F2, using the equation F1 + F2 = ma. They derive F2 by rearranging the equation and substituting the mass and acceleration terms. Another participant suggests considering the forces as components in the I and J directions to clarify the calculations. This approach emphasizes the importance of breaking down forces into their vector components for accurate analysis.
runningphysics
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Homework Statement
Two forces act on a 3.4 kg mass and undergoes an acceleration a= .87i - .32j m/s^2. One force is F= -.7i - 3.0j N. What is the other in terms of i + j?
Relevant Equations
F=ma, F1 + F2= ma
I tried splitting the forces up into F1 and F2 making Newtons second law equation into F1+F2=ma. Then I added over the the first force given. multiply the mass to the acceleration terms to get F2= (m*ai + m*aj) - F1
 
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Have you tried to look at it as components I and J as:

##F1_i + F2_i = m a_i## and similarly for j
 

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