The pressure applied on any object can be calculated by using the following equation:

[tex]\[
P = \frac{F}{A}
\][/tex]

In the pressure equation, [tex]\( P \)[/tex] represents the pressure on the object in pascals (Pa), [tex]\( F \)[/tex] represents the force applied on the object in newtons (N), and [tex]\( A \)[/tex] represents the area, in square meters, of the object over which the pressure is applied.

What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied?

Note: Answers should be rounded to the nearest whole unit.

A. 245 Pa

B. 82 Pa

C. 163 Pa

D. 41 Pa



Answer :

Let's solve this question step by step:

1. Identify the given values:
- Force ([tex]\( F \)[/tex]) applied: 1,306 newtons (N)
- Area ([tex]\( A \)[/tex]) over which the force is applied: 16 square meters (m²)

2. Write down the pressure formula:
[tex]\[ P = \frac{F}{A} \][/tex]
Here, [tex]\( P \)[/tex] represents the pressure, [tex]\( F \)[/tex] represents the force, and [tex]\( A \)[/tex] represents the area.

3. Plug in the given values into the equation:
[tex]\[ P = \frac{1306}{16} \][/tex]

4. Calculate the pressure:
When you divide 1,306 by 16, you get approximately 81.625 pascals (Pa).

5. Round the result to the nearest whole unit:
The pressure, when rounded to the nearest whole unit, is 82 pascals (Pa).

Thus, the pressure applied inside the container is [tex]\( 82 \)[/tex] Pa. The correct answer is:

82 Pa