Given:
Distance = 130 meters
θ = 35 degrees
F = 40 N
Let's find the work done if the traveler moves 130 meters.
Let's first make a free body sketch:
To find the work done by the traveler over the 130 meters, we have:
![W=(Fcos\theta)x](https://img.qammunity.org/2023/formulas/physics/college/383dkcqbrx9351wyo2le3n8gfc0kygctb6.png)
Where:
• W is the work done
,
• F is the force applied
,
• θ is the angle.
,
• x is the distance
Thus, we have:
![\begin{gathered} W=(40cos35)*130 \\ \\ W=32.766*130 \\ \\ W=4259.59\approx4260\text{ Nm} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/gwj9xwqgzwjfejx6xe4tyhd1adk9g5sdyi.png)
Therefore, the work done is 4260 Nm.
• ANSWER:
4260 Nm.