Part D & e **Problem 4: Work Done on a Suitcase Pulled Up a Ramp**A luggage handler pulls a 25 kg suitcase up a ramp inclined at 20° above the horizontal with a force \( \vec{F} \) of magnitude 230 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the suitcase is \( \mu_k = 0.15 \). If the suitcase travels 4.00 m up the ramp, calculate the following:**(a)** The work done on the suitcase by \( \vec{F} \).**(b)** The work done on the suitcase by the gravitational force.**(c)** The work done on the suitcase by the normal force.**(d)** The work done on the suitcase by the friction force.**(e)** The total work done on the suitcase.**(f)** If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.00 m up the ramp?---**Detailed Explanations:**1. **The Drawing:** - A block (representing the suitcase) is shown on an inclined plane that makes a 20° angle with the horizontal. - Arrows indicate the different forces acting on the suitcase: - \( \vec{F} \): The force exerted by the luggage handler. - \( \vec{g} \): Gravitational force acting downward. - \( \vec{N} \): Normal force perpendicular to the plane. - \( f_k \): Kinetic friction force acting opposite to the direction of motion.2. **Understanding the Forces:** - **Force \( \vec{F} \)**: Parallel to the ramp, with a magnitude of 230 N. - **Gravitational Force**: Contains two components: one parallel to the ramp (\( mg \sin \theta \)) and one perpendicular to the ramp (\( mg \cos \theta \)). - **Normal Force**: Acts perpendicular to the surface of the ramp. - **Friction Force \( f_k \)**: Opposes the movement, calculated as \( f_k = \mu_k N \).3. **Work Calculations:** - **Work by \( \vec{F} \)** (\( W_F \)): \( W_F = F \cdot d \cdot \

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Description: Part D & e **Problem 4: Work Done on a Suitcase Pulled Up a Ramp**A luggage handler pulls a 25 kg suitcase up a ramp inclined at 20° above the horizontal with a force \( \vec{F} \) of magnitude 230 N that acts parallel to the ramp. The coefficient of

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4. A luggage handler pulls a 25 kg suitcase up a ramp inclined 20° above the horizontal by a force F of magnitude 230 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and suitcase is k = 0.15. If the suitcase travels 4.00 m up the ramp, calculate (a) the work done on the suitcase by F; (b) the work done on the suitcase by the gravitational force; (c) the work done on the suitcase by the normal force; (d) the work done on the suitcase by the friction force; (e) the total work done on the suitcase. (f) If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.00 m up the ramp? JL

4. A luggage handler pulls a 25 kg suitcase up a ramp inclined 20° above the horizontal by a force F of magnitude 230 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and suitcase is k = 0.15. If the suitcase travels 4.00 m up the ramp, calculate (a) the work done on the suitcase by F; (b) the work done on the suitcase by the gravitational force; (c) the work done on the suitcase by the normal force; (d) the work done on the suitcase by the friction force; (e) the total work done on the suitcase. (f) If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.00 m up the ramp? JL

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ISBN:9781305952300

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Part D & e

**Problem 4: Work Done on a Suitcase Pulled Up a Ramp**

A luggage handler pulls a 25 kg suitcase up a ramp inclined at 20° above the horizontal with a force \( \vec{F} \) of magnitude 230 N that acts parallel to the ramp. The coefficient of kinetic friction between the ramp and the suitcase is \( \mu_k = 0.15 \). If the suitcase travels 4.00 m up the ramp, calculate the following:

**(a)** The work done on the suitcase by \( \vec{F} \).

**(b)** The work done on the suitcase by the gravitational force.

**(c)** The work done on the suitcase by the normal force.

**(d)** The work done on the suitcase by the friction force.

**(e)** The total work done on the suitcase.

**(f)** If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 4.00 m up the ramp?

---

**Detailed Explanations:**

1. **The Drawing:**
- A block (representing the suitcase) is shown on an inclined plane that makes a 20° angle with the horizontal.
- Arrows indicate the different forces acting on the suitcase:
- \( \vec{F} \): The force exerted by the luggage handler.
- \( \vec{g} \): Gravitational force acting downward.
- \( \vec{N} \): Normal force perpendicular to the plane.
- \( f_k \): Kinetic friction force acting opposite to the direction of motion.

2. **Understanding the Forces:**
- **Force \( \vec{F} \)**: Parallel to the ramp, with a magnitude of 230 N.
- **Gravitational Force**: Contains two components: one parallel to the ramp (\( mg \sin \theta \)) and one perpendicular to the ramp (\( mg \cos \theta \)).
- **Normal Force**: Acts perpendicular to the surface of the ramp.
- **Friction Force \( f_k \)**: Opposes the movement, calculated as \( f_k = \mu_k N \).

3. **Work Calculations:**
- **Work by \( \vec{F} \)** (\( W_F \)): \( W_F = F \cdot d \cdot \

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