Answer :
The sum of the forces is 40 [tex]a_{x}[/tex] along the negative x - direction.
We have two forces.
We have to determine their sum.
What is Force?
Force is the product mass and acceleration of a body.
According to the question -
F[1] = + 160 [tex]a_{x}[/tex]. [along the positive x - axis].
F[2] = - 200 [tex]a_{x}[/tex]. [along the negative x - axis].
Now -
F(N) = F[1] + F[2] = 160 [tex]a_{x}[/tex] + (- 200 [tex]a_{x}[/tex]) = - 40 [tex]a_{x}[/tex]
Hence, the sum of the forces is 40 [tex]a_{x}[/tex] along the negative x - direction.
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