(II) A hydraulic press for compacting powdered samples has a large cylinder which is 10.0 cm in diameter, and a small cylinder with a diameter of 2.0 cm (Fig. 10–51 0). A lever is attached to the small cylinder as shown. The sample, which is placed on the large cylinder, has an area of 4.0 cm². What is the pressure on the sample if 320 N is applied to the lever?

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### Problem Statement:

A hydraulic press for compacting powdered samples has a large cylinder with a 10.0 cm diameter and a small cylinder with a 2.0 cm diameter. A lever is attached to the small cylinder as shown in the figure. The sample, placed on the large cylinder, has an area of 4.0 cm². What is the pressure on the sample if 320 N is applied to the lever?

### Diagram Explanation:

The diagram shows a side view of a hydraulic press system:

- **Hydraulic fluid** is visible inside both the large and small cylinders.
- The **large cylinder** has a diameter of 10.0 cm and holds the sample.
- The **small cylinder** has a diameter of 2.0 cm and is connected to a lever.
- A **lever** is balanced on a pivot with two equal lengths (denoted as \( l \)) on either side.
- A force of **320 N** is applied downward at the end of one side of the lever.

This setup demonstrates how force applied to the smaller cylinder via the lever is transmitted to the larger cylinder, applying pressure to the sample.
Transcribed Image Text:### Problem Statement: A hydraulic press for compacting powdered samples has a large cylinder with a 10.0 cm diameter and a small cylinder with a 2.0 cm diameter. A lever is attached to the small cylinder as shown in the figure. The sample, placed on the large cylinder, has an area of 4.0 cm². What is the pressure on the sample if 320 N is applied to the lever? ### Diagram Explanation: The diagram shows a side view of a hydraulic press system: - **Hydraulic fluid** is visible inside both the large and small cylinders. - The **large cylinder** has a diameter of 10.0 cm and holds the sample. - The **small cylinder** has a diameter of 2.0 cm and is connected to a lever. - A **lever** is balanced on a pivot with two equal lengths (denoted as \( l \)) on either side. - A force of **320 N** is applied downward at the end of one side of the lever. This setup demonstrates how force applied to the smaller cylinder via the lever is transmitted to the larger cylinder, applying pressure to the sample.
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