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**Q1. Complete the following using the given words**:

1. **Pascal’s principle** states that pressure applied to the fluid in a closed container transmits throughout the fluid.
2. Objects in fluids experience an upward force provided by the fluid. This upward force is called the **buoyant** force.
3. A **fluid** is any material that flows in response to an applied force therefore **liquids** and gases are fluids.
4. An important application of Pascal’s principle is the **hydraulic lift**.
5. **Bernoulli’s principle** states that an increase in the velocity of a fluid will cause a decrease in the pressure of a fluid.
6. If a fluid is flowing through a pipe continuously and the pipe's diameter **increases**, the fluid's speed will decrease and the pressure of the fluid will **increase**.
7. **Viscosity** is the resistance of a fluid to flowing.

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**Q2. Calculate the input force (F1) required to move the output cylinder with an area of (A2) with a force of 4525 N:**

The formula based on Pascal’s principle is:

\[
\frac{F1}{A1} = \frac{F2}{A2}
\]

Where:
- \( F1 \) = Input force to be calculated.
- \( F2 = 4525 \, N \) (Output force).
- \( A2 \) = Area of output cylinder (Assumed to be given in the diagram, though not visible in the text).

To complete this, the area \( A1 \) and \( A2 \) need to be given.

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Let me know if you'd like further explanations, or need additional details on any part!

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**Here are 5 related questions:**

1. How does Pascal's principle apply in other real-world devices like car brakes?
2. What are the units of viscosity and how is it measured?
3. How can Bernoulli’s principle explain why airplanes fly?
4. How does buoyancy change when an object is submerged in a different liquid like oil compared to water?
5. What factors affect the speed of fluid flow in a pipe?

**Tip:** Remember that Bernoulli’s principle is essential in understanding the behavior of gases and liquids in motion, particularly in engineering applications like aviation and hydraulics.

Learn about Pascal's Principle, buoyant force, and fluid dynamics through practical applications. This page includes a detailed calculation of input force using Pascal’s principle, covering key concepts for Grade 9 students.

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