Answer:
W = -47 103 J
Explanation:
Work is the scalar product of force by distance, blacks indicate vectors
W = F .d
W = F d cos θ
Let's find the work of the two trajectories
Case 1. The force is directed to the west and the displacement to the east, therefore, the angle between the two is 180º and cos 180 = -1
W₁ = 6.83 3.44 10³ cos 180
W₁ = - 23.5 10³ J
Case 2. The force is directed to the east and displacement points to the west, again the angle is 180º
W₂ = 6.83 3.44 cos 180
W₂ = -23.5 103 J
The total work is the sum of each of the calculated jobs
W = W₁ + W₂
W = 2 (-23.5 103)
W = -47 103 J
