A force of `40 N` is applied on a nail , whose tip has an area of cross-section of `0.001 "cm"^(2).` Calculate the pressure on the tip.

Answer

To calculate the pressure on the tip of the nail, we can follow these steps:

### Step 1: Understand the formula for pressure
The pressure \( P \) is defined as the force \( F \) applied per unit area \( A \). The formula is given by:
\[ P = \frac{F}{A} \]

### Step 2: Identify the given values
From the problem, we have:
- Force \( F = 40 \, \text{N} \)
- Area \( A = 0.001 \, \text{cm}^2 \)

### Step 3: Convert the area from cm² to m²
Since pressure is typically expressed in Pascals (Pa), which is equivalent to \( \text{N/m}^2 \), we need to convert the area from cm² to m².

1 cm² = \( 10^{-4} \, \text{m}^2 \)

Thus,
\[ A = 0.001 \, \text{cm}^2 = 0.001 \times 10^{-4} \, \text{m}^2 = 10^{-7} \, \text{m}^2 \]

### Step 4: Substitute the values into the pressure formula
Now, we can substitute the values of force and area into the pressure formula:
\[ P = \frac{F}{A} = \frac{40 \, \text{N}}{10^{-7} \, \text{m}^2} \]

### Step 5: Calculate the pressure
Now, calculate the pressure:
\[ P = 40 \times 10^{7} \, \text{N/m}^2 = 4 \times 10^{8} \, \text{Pa} \]

### Final Answer
The pressure on the tip of the nail is:
\[ P = 4 \times 10^{8} \, \text{Pa} \, \text{(Pascals)} \]

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