An office safe has a weight of 800 N. If the area of the base is 1.25 `m^2`, what is the pressure on the floor of the office?

Answer

To find the pressure exerted by the office safe on the floor, we can follow these steps:

### Step 1: Understand the formula for pressure
Pressure is defined as the force exerted per unit area. The formula for pressure (P) is given by:
\[ P = \frac{F}{A} \]
where:
- \( P \) is the pressure,
- \( F \) is the force (weight of the object),
- \( A \) is the area over which the force is distributed.

### Step 2: Identify the values given in the problem
From the problem, we have:
- Weight of the safe (force, \( F \)) = 800 N
- Area of the base (\( A \)) = 1.25 m²

### Step 3: Substitute the values into the formula
Now, we can substitute the values of force and area into the pressure formula:
\[ P = \frac{800 \, \text{N}}{1.25 \, \text{m}^2} \]

### Step 4: Calculate the pressure
Now, we perform the division:
\[ P = \frac{800}{1.25} \]

Calculating this gives:
\[ P = 640 \, \text{Pascals} \]

### Step 5: State the final answer
Thus, the pressure exerted by the office safe on the floor is:
\[ \text{Pressure} = 640 \, \text{Pascals} \]

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