Match the following terms with their definitions and answer the questions about pressure, force, and barometers.

C. Match the following:

1. Pressure $\rightarrow$ a. Pascal
2. Barometer $\rightarrow$ f. Atmospheric pressure
3. Weight $\rightarrow$ d. Gravitational force
4. Torricelli barometer $\rightarrow$ e. Simple barometer
5. Increased pressure $\rightarrow$ c. Decreased contact area
6. S.I. Unit $\rightarrow$ b. P (Assuming 'P' refers to the common symbol for pressure, as 'Pascal' is already matched with the SI unit of pressure.)

D. Answer the following questions:

1. What is the SI unit of pressure?
The SI unit of pressure is the Pascal (Pa).

2. On which things pressure depends?
Pressure depends on two main factors:

• The force applied.
• The area over which the force is distributed.

3. How would you distinguish between force and pressure?
Force is a push or pull that can cause an object to accelerate or deform; it is a vector quantity. Pressure is the force applied perpendicular to a surface per unit area; it is a scalar quantity.

4. How does the pressure exerted by liquid change with depth?
The pressure exerted by a liquid increases with depth because the weight of the liquid column above a point increases.

5. A drawing pin is pushed against a wooden table with a force of 10 N. Calculate the pressure exerted by the pin at a point on a table if the area of the point is 180 cm$^2$.

Step 1: Identify the given values.

$$F = 10 \text{ N}$$ $$A = 180 \text{ cm}^2$$

Step 2: Convert the area to square meters (m$^2$).

$$A = 180 \text{ cm}^2 \times \left(\frac{1 \text{ m}}{100 \text{ cm}}\right)^2$$ $$A = 180 \times \frac{1}{10000} \text{ m}^2$$ $$A = 0.018 \text{ m}^2$$

Step 3: Calculate the pressure using the formula $P = \frac{F}{A}$.

$$P = \frac{10 \text{ N}}{0.018 \text{ m}^2}$$ $$P \approx 555.56 \text{ Pa}$$

The pressure exerted by the pin is $\boxed{\text{555.56 Pa}}$.

6. A person weight of 120, 96. The area under one foot of the person is 180 cm$^2$. Find the pressure exerted on the ground by the person. When he is standing?
Assumption: The person's weight is 120 N, and they are standing on two feet. The area under one foot is 180 cm$^2$.

Step 1: Identify the given values.

$$F_{\text{total}} = 120 \text{ N}$$ $$A_{\text{one foot}} = 180 \text{ cm}^2$$

Step 2: Calculate the total area of contact when standing on two feet.

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