**Physics Problem: Work Done by a Force****Problem Statement:**9. A person pulls a crate across a floor using a rope. They pull on the rope with a force of 95 N at an angle of 35°, and they move the box a distance of 11 m. How much work did they do?**Diagram Description:**The diagram illustrates a person pulling a crate with a rope. The force exerted is shown as a vector \(\vec{F}\) at an angle \(\theta = 35^\circ\) above the horizontal line. The horizontal component of the force is depicted as \(F \cos \theta = F_x\).- The horizontal line represents the direction of displacement \(d\).**Solution Explanation:**To calculate the work done, use the formula:\[ \text{Work} = F_x \times d\]Where \(F_x = F \cos \theta\). Therefore, the horizontal component of the force \(F_x\) can be calculated as:\[ F_x = 95 \, \text{N} \times \cos(35^\circ) \]Finally, calculate the work done by multiplying the horizontal component of the force by the distance:\[ \text{Work} = F_x \times 11 \, \text{m}\]**Educational Note:**Work is only done by the component of the force in the direction of the displacement. The angle here indicates that only a portion of the applied force contributes to the work done in moving the crate.

Name: **Physics Problem: Work Done by a Force****Problem Statement:**9. A p
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: **Physics Problem: Work Done by a Force****Problem Statement:**9. A person pulls a crate across a floor using a rope. They pull on the rope with a force of 95 N at an angle of 35°, and they move the box a distance of 11 m. How much work did they do?