In the figure, a laser beam of power 6.61 W and diameter 2.60 mm is directed upward at one circular face (of diameter d < 2.60 mm) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder's density is 1.50 g/cm³, what is its height H? Number Units mm

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In the figure, a laser beam of power 6.61 W and diameter 2.60 mm is directed upward at one circular face (of diameter \(d < 2.60 \, \text{mm}\)) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder's density is \(1.50 \, \text{g/cm}^3\), what is its height \(H\)?

**Diagram Explanation:**

The diagram shows a cylindrical object with its circular face upward. The following elements are labeled:

- **D**: The total diameter of the laser beam, which is directed at the circular face.
- **H**: The height of the cylinder, which needs to be determined.
- Red arrows pointing upwards: These indicate the direction of the laser beam and the radiation force acting on the cylinder.

The question involves calculating the height \(H\) of the cylinder given the laser's power and diameter, as well as the cylinder’s density.

**Input Fields:**

- **Number**: A field to input the calculated height of the cylinder.
- **Units**: A dropdown menu to select the unit of measurement, listed as millimeters (mm).

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**Additional Resources:**

- **eTextbook and Media**: Additional resources for further reference on the topic.
Transcribed Image Text:**Current Attempt in Progress** *Your answer is partially correct.* In the figure, a laser beam of power 6.61 W and diameter 2.60 mm is directed upward at one circular face (of diameter \(d < 2.60 \, \text{mm}\)) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder's density is \(1.50 \, \text{g/cm}^3\), what is its height \(H\)? **Diagram Explanation:** The diagram shows a cylindrical object with its circular face upward. The following elements are labeled: - **D**: The total diameter of the laser beam, which is directed at the circular face. - **H**: The height of the cylinder, which needs to be determined. - Red arrows pointing upwards: These indicate the direction of the laser beam and the radiation force acting on the cylinder. The question involves calculating the height \(H\) of the cylinder given the laser's power and diameter, as well as the cylinder’s density. **Input Fields:** - **Number**: A field to input the calculated height of the cylinder. - **Units**: A dropdown menu to select the unit of measurement, listed as millimeters (mm). --- **Additional Resources:** - **eTextbook and Media**: Additional resources for further reference on the topic.
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