A force of 16 N is distributed uniformly on one surface of a cube of edge 8 cm. The pressure on this surface is:

Options

A. 3500 Pa
B. 2500 Pa
C. 4500 Pa
D. 5500 Pa

Explanation

To solve the problem of finding the pressure on the surface of a cube when a force is applied, we can follow these steps:

### Step 1: Identify the given values
- Force (F) = 16 N
- Edge of the cube = 8 cm

### Step 2: Calculate the area of the surface
The area (A) of one face of the cube can be calculated using the formula for the area of a square:
\[ A = \text{edge} \times \text{edge} \]
Converting the edge length from centimeters to meters:
\[ 8 \text{ cm} = 0.08 \text{ m} \]
Now, calculate the area:
\[ A = 0.08 \text{ m} \times 0.08 \text{ m} = 0.0064 \text{ m}^2 \]

### Step 3: Use the pressure formula
Pressure (P) is defined as the force (F) applied per unit area (A):
\[ P = \frac{F}{A} \]
Substituting the values we have:
\[ P = \frac{16 \text{ N}}{0.0064 \text{ m}^2} \]

### Step 4: Calculate the pressure
Now, perform the division:
\[ P = \frac{16}{0.0064} = 2500 \text{ N/m}^2 \]
Since 1 N/m² is equivalent to 1 Pascal (Pa), we can conclude:
\[ P = 2500 \text{ Pa} \]

### Final Answer
The pressure on the surface of the cube is **2500 Pascal**.

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