Calculate the pressure exerted on an object if a force of 288 N acts on the object over an area of `0.4m^(2)`

Options

A. 0.72 Pa
B. 7.2 Pa
C. 72 Pa
D. 720 Pa

Answer

To calculate the pressure exerted on an object, we can use the formula for pressure:

\[ \text{Pressure} (P) = \frac{\text{Force} (F)}{\text{Area} (A)} \]

**Step 1: Identify the given values.**
- Force (F) = 288 N
- Area (A) = 0.4 m²

**Step 2: Substitute the values into the formula.**
\[ P = \frac{288 \, \text{N}}{0.4 \, \text{m}^2} \]

**Step 3: Perform the calculation.**
To divide 288 by 0.4, we can rewrite it as:
\[ P = 288 \div 0.4 \]

Calculating this gives:
\[ P = 720 \, \text{N/m}^2 \]

**Step 4: Convert the units to Pascal.**
Since 1 Pascal (Pa) is defined as 1 Newton per square meter (N/m²), we can express the pressure in Pascals:
\[ P = 720 \, \text{N/m}^2 = 720 \, \text{Pa} \]

**Final Answer:**
The pressure exerted on the object is **720 Pascals**.

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