Two forces acting on an object given in vectors - SOLVED

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SUMMARY

The discussion centers on solving a physics problem involving two forces acting on an object, represented as vectors F1 and F2. The user applied Newton's second law, F1 + F2 = ma, to derive the relationship between the forces and the object's mass and acceleration. By breaking down the forces into their components, the user demonstrated that F1_i + F2_i = m a_i and similarly for the j components, providing a clear method for vector analysis in physics.

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  • Understanding of Newton's second law of motion
  • Familiarity with vector components in physics
  • Basic knowledge of mass and acceleration
  • Ability to manipulate algebraic equations
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  • Learn about force vectors and their applications in mechanics
  • Explore advanced topics in Newtonian mechanics
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Physics students, educators, and anyone interested in understanding the principles of forces and motion in mechanics.

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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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