A piece of luggage is being loaded onto an airplane by way of an inclined conveyor belt. The bag, which has a mass of 10.0 kg, travels d = 6.50 m up the conveyor belt at a constant speed without slipping. If the conveyor belt is inclined at an angle 0 = 60.0°, calculate the work done on the bag by • the force of gravity (Wg) the normal force (Wn) • the friction force (Wf) • the conveyor belt (Wconveyor ) the net force (Wnet) Match the work done by each force to the appropriate energy value. 638 J 552 J -638 J -552 J OJ 319 J -319 J Wg WN

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Chapter1: Units, Trigonometry. And Vectors
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**Title: Work Done on a Bag on an Inclined Conveyor Belt**

**Scenario:**
A piece of luggage is being loaded onto an airplane using an inclined conveyor belt. The bag, with a mass of 10.0 kg, travels a distance \( d = 6.50 \, \text{m} \) up the conveyor belt at a constant speed without slipping.

**Task:**
If the conveyor belt is inclined at an angle \( \theta = 60.0^\circ \), calculate the work done on the bag by:

- The force of gravity (\( W_g \))
- The normal force (\( W_N \))
- The friction force (\( W_f \))
- The conveyor belt (\( W_{\text{conveyor}} \))
- The net force (\( W_{\text{net}} \))

**Objective:**
Match the work done by each force to the appropriate energy value.

**Diagram Explanation:**
The diagram illustrates a side view of an inclined plane with angle \( \theta \), showing the luggage moving a distance \( d \) along the plane.

**Energy Values (to Match):**
- 638 J
- 552 J
- \(-638 \, \text{J}\)
- \(-552 \, \text{J}\)
- 0 J
- 319 J
- \(-319 \, \text{J}\)

**Match Energy Values:**

- \( W_g \)
- \( W_N \)
- \( W_f \)
- \( W_{\text{conveyor}} \)
- \( W_{\text{net}} \)

**Note:**
This exercise aims to enhance understanding of work and energy concepts applied to an object moving on an inclined plane.
Transcribed Image Text:**Title: Work Done on a Bag on an Inclined Conveyor Belt** **Scenario:** A piece of luggage is being loaded onto an airplane using an inclined conveyor belt. The bag, with a mass of 10.0 kg, travels a distance \( d = 6.50 \, \text{m} \) up the conveyor belt at a constant speed without slipping. **Task:** If the conveyor belt is inclined at an angle \( \theta = 60.0^\circ \), calculate the work done on the bag by: - The force of gravity (\( W_g \)) - The normal force (\( W_N \)) - The friction force (\( W_f \)) - The conveyor belt (\( W_{\text{conveyor}} \)) - The net force (\( W_{\text{net}} \)) **Objective:** Match the work done by each force to the appropriate energy value. **Diagram Explanation:** The diagram illustrates a side view of an inclined plane with angle \( \theta \), showing the luggage moving a distance \( d \) along the plane. **Energy Values (to Match):** - 638 J - 552 J - \(-638 \, \text{J}\) - \(-552 \, \text{J}\) - 0 J - 319 J - \(-319 \, \text{J}\) **Match Energy Values:** - \( W_g \) - \( W_N \) - \( W_f \) - \( W_{\text{conveyor}} \) - \( W_{\text{net}} \) **Note:** This exercise aims to enhance understanding of work and energy concepts applied to an object moving on an inclined plane.
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