Answer:
Option 1.
Step-by-step explanation:
To know which option is correct, let us calculate the net force in each case to know which will move to the right direction.
Option 1:
Force to the right (Fᵣ) = 8 N
Force to the left (Fₗ) = 6 N
Net force (Fₙ) =?
Fₙ = Fᵣ – Fₗ
Fₙ = 8 – 6
Fₙ = 2 N to the right
Option 2:
Force to the right (Fᵣ) = 8 N
Force to the left (Fₗ) = 10 N
Net force (Fₙ) =?
Fₙ = Fₗ – Fᵣ
Fₙ = 10 – 8
Fₙ = 2 N to the left
Option 3:
Force to the right (Fᵣ) = 10 N
Force to the left (Fₗ) = 10 N
Net force (Fₙ) =?
Fₙ = Fᵣ – Fₗ
Fₙ = 10 – 10
Fₙ = 0 (no movement)
Option 4:
Force to the right (Fᵣ) = 10 N
Force to the left (Fₗ) = 13 N
Net force (Fₙ) =?
Fₙ = Fₗ – Fᵣ
Fₙ = 13 – 10
Fₙ = 3 N to the left
From the illustrations made above, only option 1 has a net force toward the right direction. Therefore, only option 1 will have an acceleration towards the right direction.