Final answer:
To find the area with a given pressure and force, the formula A = F / P is used. In this case, the area is calculated as 400 m² given the pressure of 6.25 × 10⁶ Pa and the force of 2.5 x 10⁹ N.
Step-by-step explanation:
To calculate the area where a certain pressure and force is applied, we can use the formula A = F / P, where A is the area, F is the force, and P is the pressure. Given that the pressure is 6.25 × 10⁶ Pa and the force is 2.5 x 10⁹ N, we plug in these values into the formula:
A = F / P = (2.5 x 10⁹ N) / (6.25 × 10⁶ Pa)
After calculation, we find that the area is 400 m².
This concept is crucial as it shows how a given force can have a different effect depending on the area over which it is exerted. The SI unit for pressure is the pascal (1 Pa = 1 N/m²), helping simplify such calculations.