If a girl is wearing a pointed heel which has an area of cross section `2 "cm"^2`, and if her mass is 650 N, find out the pressure exerted by her on the floor (remember to calculate for both legs)

Answer

To solve the problem of finding the pressure exerted by a girl wearing pointed heels on the floor, we will follow these steps:

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

### Step 2: Identify the force
The force exerted by the girl on the floor is equal to her weight, which is given as:
\[ F = 650 \, \text{N} \]

### Step 3: Determine the area of one heel
The area of cross-section of one pointed heel is given as:
\[ A_1 = 2 \, \text{cm}^2 \]
To convert this to square meters (since pressure is typically measured in pascals, which uses square meters), we use the conversion factor \( 1 \, \text{cm}^2 = 0.0001 \, \text{m}^2 \):
\[ A_1 = 2 \, \text{cm}^2 = 2 \times 0.0001 \, \text{m}^2 = 0.0002 \, \text{m}^2 \]

### Step 4: Calculate the total area for both heels
Since the girl is using both heels, the total area (A) is:
\[ A = 2 \times A_1 = 2 \times 0.0002 \, \text{m}^2 = 0.0004 \, \text{m}^2 \]

### Step 5: Substitute values into the pressure formula
Now we substitute the values of force and total area into the pressure formula:
\[ P = \frac{F}{A} = \frac{650 \, \text{N}}{0.0004 \, \text{m}^2} \]

### Step 6: Calculate the pressure
Now, we perform the division:
\[ P = \frac{650}{0.0004} = 1625000 \, \text{Pascals} \]

### Step 7: Convert to kilopascals
To express the pressure in kilopascals (kPa), we divide by 1000:
\[ P = 1625000 \, \text{Pascals} = 1625 \, \text{kPa} \]

### Final Answer
The pressure exerted by the girl on the floor is:
\[ P = 1625 \, \text{kPa} \]

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