To find the displacement when the work done and the force are known, you can use the work formula:
\[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) \]
where \( \theta \) is the angle between the force and the displacement direction. If it is assumed that the force is applied in the same direction as the displacement (which means \(\theta = 0\) and \(\cos(\theta) = 1\)), the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Displacement} \]
Rearranging this gives:
\[ \text{Displacement} = \frac{\text{Work}}{\text{Force}} \]
Substituting the known values:
\[ \text{Displacement} = \frac{376 , \text{J}}{8.43 , \text{N}} \approx 44.6 , \text{m} \]
Thus, the mystery displacement is approximately 44.6 m.
So, the correct response is:
44.6 m.