To find the displacement when the work done and the force applied are known, you can use the formula for work:
\[ \text{Work} = \text{Force} \times \text{Displacement} \times \cos(\theta) \]
In this case, we can assume that the force is applied in the direction of the displacement, which means \( \cos(\theta) = 1 \). Thus, the formula simplifies to:
\[ \text{Work} = \text{Force} \times \text{Displacement} \]
We can rearrange this equation to solve for displacement:
\[ \text{Displacement} = \frac{\text{Work}}{\text{Force}} \]
Given:
- Work = 376 joules
- Force = 8.43 newtons
Now, substitute these values into the equation:
\[ \text{Displacement} = \frac{376 , \text{J}}{8.43 , \text{N}} \]
Calculating this gives:
\[ \text{Displacement} \approx 44.6 , \text{m} \]
Therefore, the value of the mystery displacement is 44.6 m.
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