To calculate the force applied on an area based on the pressure, we use the formula:

\[
F = P \times A
\]

Where:
- \( F \) is the force (in Newtons, N),
- \( P \) is the pressure (in \( \text{N/m}^2 \) or Pascals),
- \( A \) is the area (in \( \text{m}^2 \)).

Given:
- Pressure \( P = 100 \, \text{kN/m}^2 = 100,000 \, \text{N/m}^2 \),
- Area \( A = 0.07 \, \text{m}^2 \).

Now, substitute the values:

\[
F = 100,000 \, \text{N/m}^2 \times 0.07 \, \text{m}^2 = 7,000 \, \text{N}
\]

So, the force applied is \( 7,000 \, \text{N} \).

Would you like further details or have any questions?

Here are 5 related questions for further exploration:
1. What happens to the force if the area doubles but the pressure stays constant?
2. How would the force change if the pressure increases to 150 kN/m²?
3. Can you calculate the pressure if the force is known and the area is 0.05 m²?
4. How is this concept applied in hydraulic systems or piston designs?
5. What unit conversions are needed if the pressure is given in bar instead of kN/m²?

**Tip:** Always make sure units are consistent when calculating force, pressure, and area to avoid mistakes!

Explore how to calculate the force applied on an area given a pressure of 100 kN/m² and an area of 0.07 m². Learn about the key formula F = P × A and understand the principles of pressure and force calculations. Ideal for high school students in Grades 9-12.

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