▼ Part C-Determining the position of the blocks at a given velocity If both blocks are released from rest, determine how far block A has moved up the incline when the velocity of block B is (vB)2 =4.75 m/s. Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) 8= W μÀ Value Submit Provide Feedback a J Units a O 1 8 ? ENG

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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### Determining the Position of the Blocks at a Given Velocity

**Part C: Experimental Setup**

Two blocks are released from rest. Your task is to determine how far Block A has moved up the incline when the velocity of Block B ([v_B]_2) reaches 4.75 m/s. 

**Instructions:**

1. **Express your answer to two significant figures** and include the appropriate units.

**Provided tools and entries:**

- Input field labelled "s" for position value.
- Dropdown menu or input field for units.
- Submit button for submitting your answer.

![Screenshot of the problem interface with input fields and tools](#)

**Example Entry:**

- **Value:** 12.3
- **Units:** meters (m)

**Submit your calculations** after entering the values to check your answer.

**Hints and Feedback:**

- **View Available Hint(s):** Use the hints provided to help solve the problem.
- **Provide Feedback:** Option to provide feedback on the question or solution process.

**Tools:**

- Toolbar includes options for entering mathematical symbols and expressions.

**Note:** Make sure to recheck your computations for accuracy before submitting.

**Further Steps:**

- After submission, review provided feedback to understand any errors.
- Use available hints if you're stuck or need additional guidance.
Transcribed Image Text:### Determining the Position of the Blocks at a Given Velocity **Part C: Experimental Setup** Two blocks are released from rest. Your task is to determine how far Block A has moved up the incline when the velocity of Block B ([v_B]_2) reaches 4.75 m/s. **Instructions:** 1. **Express your answer to two significant figures** and include the appropriate units. **Provided tools and entries:** - Input field labelled "s" for position value. - Dropdown menu or input field for units. - Submit button for submitting your answer. ![Screenshot of the problem interface with input fields and tools](#) **Example Entry:** - **Value:** 12.3 - **Units:** meters (m) **Submit your calculations** after entering the values to check your answer. **Hints and Feedback:** - **View Available Hint(s):** Use the hints provided to help solve the problem. - **Provide Feedback:** Option to provide feedback on the question or solution process. **Tools:** - Toolbar includes options for entering mathematical symbols and expressions. **Note:** Make sure to recheck your computations for accuracy before submitting. **Further Steps:** - After submission, review provided feedback to understand any errors. - Use available hints if you're stuck or need additional guidance.
**Learning Goal:**
The two blocks shown have masses of \(m_A = 43 \, \text{kg}\) and \(m_B = 78 \, \text{kg}\). The coefficient of kinetic friction between block A and the inclined plane is \(\mu_k = 0.14\). The angle of the inclined plane is given by \(\theta = 35^\circ\). Neglect the weight of the rope and pulley ([Figure 1](#)).

**Figure 1:**

The diagram illustrates two blocks, A and B. 

- Block A (with mass \(m_A\)) is on an inclined plane that forms an angle \(\theta = 35^\circ\) with the horizontal ground.
- Block B (with mass \(m_B\)) is hanging vertically off the incline, connected to block A by a rope that passes over a pulley at the top of the plane.
- Distance variables \(y\) and \(x\) are indicated in the diagram:
  - \(x\) represents the horizontal distance on the inclined plane from block A to where the rope and pulley system starts.
  - \(y\) represents the vertical distance from block B to the pulley.
  
No additional details about the distances are provided. The rope connecting the blocks is assumed to be light and the weight of the rope and pulley is neglected for this problem.
Transcribed Image Text:**Learning Goal:** The two blocks shown have masses of \(m_A = 43 \, \text{kg}\) and \(m_B = 78 \, \text{kg}\). The coefficient of kinetic friction between block A and the inclined plane is \(\mu_k = 0.14\). The angle of the inclined plane is given by \(\theta = 35^\circ\). Neglect the weight of the rope and pulley ([Figure 1](#)). **Figure 1:** The diagram illustrates two blocks, A and B. - Block A (with mass \(m_A\)) is on an inclined plane that forms an angle \(\theta = 35^\circ\) with the horizontal ground. - Block B (with mass \(m_B\)) is hanging vertically off the incline, connected to block A by a rope that passes over a pulley at the top of the plane. - Distance variables \(y\) and \(x\) are indicated in the diagram: - \(x\) represents the horizontal distance on the inclined plane from block A to where the rope and pulley system starts. - \(y\) represents the vertical distance from block B to the pulley. No additional details about the distances are provided. The rope connecting the blocks is assumed to be light and the weight of the rope and pulley is neglected for this problem.
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