Final answer:
The calculated pressure of blood in the arm using the given force and area does not match any of the provided options; a misunderstanding or miscalculation might have occurred. The correct calculation results in a pressure of approximately 1.47 × 10^9 Pa.
Step-by-step explanation:
To find the pressure of blood in the arm, we use the formula P = F/A, where P is the pressure, F is the force applied, and A is the area over which the force is exerted. In this problem, the force applied is 80.3 newtons, and the area of the finger tip is 0.0000548 m².
Using these values, the pressure can be calculated as follows:
P = F / A
P = 80.3 N / 0.0000548 m²
P = 1465328478.10 Pa (Pascals)
= 1.465328478 × 10^9 Pa
When this value is rounded to the nearest hundredth to match the options provided in the question, we get:
P ≈ 1.47 × 10^9 Pa
However, the options given do not include this result. There may have been a misunderstanding in the question or a miscalculation. None of the options (A, B, C, D) match the calculated pressure. It's important to verify the figures and ensure they are accurate before concluding which option would be correct.