To find the displacement when given the force and the work done, we can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Displacement} \]
We can rearrange this formula to solve for displacement:
\[ \text{Displacement} = \frac{\text{Work}}{\text{Force}} \]
Given:
- Work = 376 joules
- Force = 8.43 newtons
Now, substituting in the values:
\[ \text{Displacement} = \frac{376 \text{ joules}}{8.43 \text{ newtons}} \]
Calculating this:
\[ \text{Displacement} = \frac{376}{8.43} \approx 44.6 \text{ meters} \]
Therefore, the value of the mystery displacement is 44.6 m.