A block of weight w = 30.0 N sits on a frictionless inclined plane, which makes an angle = 28.0° with respect to the horizontal, as shown in the figure. (Figure 1)A force of magnitude F = 14.1 N, applied parallel to the incline, is just sufficient to pull the block up the plane at constant speed. Figure 1 of 1 > Part A The block moves up an incline with constant speed. What is the total work Wtotal done on the block by all forces as the block moves a distance L = 4.90 m up the incline? Include only the work done after the block has started moving at constant speed, not the work needed to start the block moving from rest. Express your answer numerically in joules. ▸ View Available Hint(s) W total = Submit Part B W₂ = —| ΑΣΦ Submit 1 What is Wg, the work done on the block by the force of gravity was the block moves a distance L = 4.90 m up the incline? Express your answer numerically in joules. ▸ View Available Hint(s) ——| ΑΣΦ ? ? J J

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**Physics of Inclined Planes: Calculating Work Done**

**Problem Introduction:**
A block of weight \( w = 30.0 \, \text{N} \) is placed on a frictionless inclined plane. The plane is angled at \( \theta = 28.0^\circ \) relative to the horizontal. A force of magnitude \( F = 14.1 \, \text{N} \), applied parallel to the incline, moves the block up the plane at a constant speed.

**Figure Explanation:**
The diagram illustrates an inclined plane with an angle \( \theta \) to the horizontal. A block on the plane experiences an applied force \( \vec{F} \) parallel to the surface of the incline. The movement of the block is indicated by the distance \( L \).

**Calculations:**

- **Part C:**
  Determine \( W_F \), the work done on the block by the applied force \( \vec{F} \) as it moves a distance \( L = 4.90 \, \text{m} \) up the incline.

  **Calculation Input:**
  A text box is provided for numerical input in joules.

- **Part D:**
  Calculate \( W_N \), the work done on the block by the normal force as it moves the same distance \( L = 4.90 \, \text{m}\).

  **Calculation Input:**
  A text box is available for numerical input in joules.

**Instructions:**
Please express your answers numerically in joules. Use the provided input fields to enter your solutions and submit your answers.
Transcribed Image Text:**Physics of Inclined Planes: Calculating Work Done** **Problem Introduction:** A block of weight \( w = 30.0 \, \text{N} \) is placed on a frictionless inclined plane. The plane is angled at \( \theta = 28.0^\circ \) relative to the horizontal. A force of magnitude \( F = 14.1 \, \text{N} \), applied parallel to the incline, moves the block up the plane at a constant speed. **Figure Explanation:** The diagram illustrates an inclined plane with an angle \( \theta \) to the horizontal. A block on the plane experiences an applied force \( \vec{F} \) parallel to the surface of the incline. The movement of the block is indicated by the distance \( L \). **Calculations:** - **Part C:** Determine \( W_F \), the work done on the block by the applied force \( \vec{F} \) as it moves a distance \( L = 4.90 \, \text{m} \) up the incline. **Calculation Input:** A text box is provided for numerical input in joules. - **Part D:** Calculate \( W_N \), the work done on the block by the normal force as it moves the same distance \( L = 4.90 \, \text{m}\). **Calculation Input:** A text box is available for numerical input in joules. **Instructions:** Please express your answers numerically in joules. Use the provided input fields to enter your solutions and submit your answers.
### Physics Problem: Work Done on an Inclined Plane

**Scenario Description:**

A block with a weight \( w = 30.0 \, \text{N} \) rests on a frictionless inclined plane, which forms an angle \( \theta = 28.0^\circ \) with the horizontal. As depicted in the figure, a force of magnitude \( F = 14.1 \, \text{N} \) is applied parallel to the incline, sufficient to move the block up at constant speed.

**Figure Explanation:**

The figure shows a block on an inclined plane. The incline angle \( \theta \) is marked, along with the force \( F \) applied up the slope and the distance \( L \) which the block moves.

---

### Part A

The block moves up the incline with a constant speed. Calculate the total work \( W_{\text{total}} \) done on the block by all forces as it moves a distance \( L = 4.90 \, \text{m} \) up the incline. Include only the work done after the block begins moving at constant speed, excluding the work needed to initiate the movement.

**Express your answer in joules.**

- [Input Box] \( W_{\text{total}} = \) [ \_\_\_ ] J
- [Submit Button]

### Part B

Determine \( W_g \), the work done on the block by the gravitational force \( \vec{w} \) as it travels \( L = 4.90 \, \text{m} \) up the incline.

**Express your answer in joules.**

- [Input Box] \( W_{g} = \) [ \_\_\_ ] J
- [Submit Button]
Transcribed Image Text:### Physics Problem: Work Done on an Inclined Plane **Scenario Description:** A block with a weight \( w = 30.0 \, \text{N} \) rests on a frictionless inclined plane, which forms an angle \( \theta = 28.0^\circ \) with the horizontal. As depicted in the figure, a force of magnitude \( F = 14.1 \, \text{N} \) is applied parallel to the incline, sufficient to move the block up at constant speed. **Figure Explanation:** The figure shows a block on an inclined plane. The incline angle \( \theta \) is marked, along with the force \( F \) applied up the slope and the distance \( L \) which the block moves. --- ### Part A The block moves up the incline with a constant speed. Calculate the total work \( W_{\text{total}} \) done on the block by all forces as it moves a distance \( L = 4.90 \, \text{m} \) up the incline. Include only the work done after the block begins moving at constant speed, excluding the work needed to initiate the movement. **Express your answer in joules.** - [Input Box] \( W_{\text{total}} = \) [ \_\_\_ ] J - [Submit Button] ### Part B Determine \( W_g \), the work done on the block by the gravitational force \( \vec{w} \) as it travels \( L = 4.90 \, \text{m} \) up the incline. **Express your answer in joules.** - [Input Box] \( W_{g} = \) [ \_\_\_ ] J - [Submit Button]
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