Part A The block moves a distance L up the incline. The block does not stop after moving this distance but continues to move with constant speed. What is the total work Wtot done on the block by all forces? (Include only the work done after the block has started moving, not the work needed to start the block moving from rest.) Express your answer in terms of given quantities. Part B What is Wg, the work done on the block by the force of gravity as the block moves a distance L up the incline? Express the work done by gravity in terms of the weight w and any other quantities given in the problem introduction. Part C What is WF, the work done on the block by the applied force F as the block moves a distance L up the incline? Express your answer in terms of F and other given quantities. Part D What is W normal, the work done on the block by the normal force as the block moves a distance L up the inclined plane? Express your answer in terms of given quantities.

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### Text Description:

A block of weight \( w \) sits on a frictionless inclined plane, which makes an angle \( \theta \) with respect to the horizontal, as shown. (Figure 1) A force of magnitude \( F \), applied parallel to the incline, pulls the block up the plane at constant speed.

### Figure Explanation:

The diagram illustrates a block positioned on an inclined plane. The key elements of the diagram include:

- **Block**: A square-shaped object representing the block of weight \( w \).
- **Inclined Plane**: The surface on which the block rests, tilted at an angle \( \theta \) from the horizontal.
- **Angle \( \theta \)**: The angle between the inclined plane and the horizontal ground, depicted at the base of the inclined plane.
- **Force \( F \)**: An arrow labeled \( F \) pointing upwards along the incline, representing the force being applied to the block parallel to the surface of the incline.
- **Distance \( L \)**: A line alongside the inclined plane labeled \( L \), indicating the length of the plane over which the block is being pulled.

This setup illustrates the dynamics of pulling a block up a frictionless ramp with a constant force applied parallel to the incline.
Transcribed Image Text:### Text Description: A block of weight \( w \) sits on a frictionless inclined plane, which makes an angle \( \theta \) with respect to the horizontal, as shown. (Figure 1) A force of magnitude \( F \), applied parallel to the incline, pulls the block up the plane at constant speed. ### Figure Explanation: The diagram illustrates a block positioned on an inclined plane. The key elements of the diagram include: - **Block**: A square-shaped object representing the block of weight \( w \). - **Inclined Plane**: The surface on which the block rests, tilted at an angle \( \theta \) from the horizontal. - **Angle \( \theta \)**: The angle between the inclined plane and the horizontal ground, depicted at the base of the inclined plane. - **Force \( F \)**: An arrow labeled \( F \) pointing upwards along the incline, representing the force being applied to the block parallel to the surface of the incline. - **Distance \( L \)**: A line alongside the inclined plane labeled \( L \), indicating the length of the plane over which the block is being pulled. This setup illustrates the dynamics of pulling a block up a frictionless ramp with a constant force applied parallel to the incline.
**Part A**

The block moves a distance \( L \) up the incline. The block does not stop after moving this distance but continues to move with constant speed. What is the total work \( W_{\text{tot}} \) done on the block by all forces? (Include only the work done after the block has started moving, not the work needed to start the block moving from rest.)

*Express your answer in terms of given quantities.*

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**Part B**

What is \( W_g \), the work done on the block by the force of gravity as the block moves a distance \( L \) up the incline?

*Express the work done by gravity in terms of the weight \( w \) and any other quantities given in the problem introduction.*

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**Part C**

What is \( W_F \), the work done on the block by the applied force \( F \) as the block moves a distance \( L \) up the incline?

*Express your answer in terms of \( F \) and other given quantities.*

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**Part D**

What is \( W_{\text{normal}} \), the work done on the block by the normal force as the block moves a distance \( L \) up the inclined plane?

*Express your answer in terms of given quantities.*
Transcribed Image Text:**Part A** The block moves a distance \( L \) up the incline. The block does not stop after moving this distance but continues to move with constant speed. What is the total work \( W_{\text{tot}} \) done on the block by all forces? (Include only the work done after the block has started moving, not the work needed to start the block moving from rest.) *Express your answer in terms of given quantities.* --- **Part B** What is \( W_g \), the work done on the block by the force of gravity as the block moves a distance \( L \) up the incline? *Express the work done by gravity in terms of the weight \( w \) and any other quantities given in the problem introduction.* --- **Part C** What is \( W_F \), the work done on the block by the applied force \( F \) as the block moves a distance \( L \) up the incline? *Express your answer in terms of \( F \) and other given quantities.* --- **Part D** What is \( W_{\text{normal}} \), the work done on the block by the normal force as the block moves a distance \( L \) up the inclined plane? *Express your answer in terms of given quantities.*
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