Answer:
14 N.
Explanation:
Let the force applied by the boy pulling to the left be x.
From the question given above, the following data were obtained:
Net force (Fₙ) = 10 N toward the right
Force applied by the boy pulling to the left = x
Next, we shall determine the total force in the left direction. This can be obtained as follow:
Force in the left direction (Fₗ) = x + 8
Next, we shall determine the total force in the right direction. This can be obtained as follow:
Force in the right direction (Fᵣ) = 11 + 21 = 32 N
Finally, we shall determine the force applied by the boy pulling to the left direction (i.e the value of x) as follow:
Net force (Fₙ) = 10 N toward the right
Force in the left direction (Fₗ) = x + 8
orce in the right direction (Fᵣ) = 32 N
Fₙ = Fᵣ – Fₗ (since the net force is toward the right direction)
10 = 32 – (x + 8)
Clear bracket
10 = 32 – x – 8
10 = 32 – 8 – x
10 = 24 – x
Collect like terms
10 – 24 = – x
–14 = –x
Divide both side by –1
x = –14/–1
x = 14 N
Thus, the force applied by the boy pulling to the left direction is 14 N.
