Final answer:
Using the formula for pressure, which is P = F / A, and rearranging for A, the area over which the force is applied is calculated to be 200 cm² when a force of 300N generates a pressure of 1500Pa.
Step-by-step explanation:
To find the magnitude of area A (in cm²) on which a force of 300N produces a pressure of 1500Pa, we can use the formula for pressure (P) which is defined as the force (F) applied per unit area (A).
The formula is: P = F / A. By rearranging the formula to solve for area, we get A = F / P. Substituting the given values, we get A = 300N / 1500Pa.
As 1 Pa = 1 N/m², and we want to find A in cm², we need to convert square meters to square centimeters. There are 10,000 cm² in 1 m². Plugging in the values gives us:
A = (300N / 1500N/m²) × 10,000 cm²/m² = 200 cm².
Therefore, the area over which the force is applied is 200 cm².