Sure, let's break down the problem of calculating the pressure produced by a force acting on a given area step-by-step.
Step 1: Understand the formula for pressure
Pressure (P) can be calculated using the formula:
[tex]\[ P = \frac{F}{A} \][/tex]
where:
- [tex]\( P \)[/tex] is the pressure.
- [tex]\( F \)[/tex] is the force.
- [tex]\( A \)[/tex] is the area.
Step 2: Identify the given values
From the problem statement, we have:
- Force ([tex]\( F \)[/tex]) = 800 Newtons (N)
- Area ([tex]\( A \)[/tex]) = 2.0 square meters (m²)
Step 3: Substitute the values into the formula
Substitute the values of force and area into the formula:
[tex]\[ P = \frac{800 \, \text{N}}{2.0 \, \text{m}^2} \][/tex]
Step 4: Perform the division
Divide the force by the area:
[tex]\[ P = \frac{800}{2.0} \][/tex]
[tex]\[ P = 400 \, \text{Pascals (Pa)} \][/tex]
Final Answer:
The pressure produced by a force of 800 N acting on an area of 2.0 m² is 400 Pa.
