Final answer:
The maximum pressure that can be applied to a vessel made of nylon with a maximum strength of 80 MPa should not exceed this value to prevent material failure. Problems of this nature, relating to fluid mechanics, calculate forces exerted by a fluid on a vessel by using pressure and area.
Step-by-step explanation:
The question involves calculating the maximum force that can be exerted by a pressurized fluid on a vessel, which is a problem commonly addressed in physics, specifically fluid mechanics. When considering the maximum pressure that can be applied to a vessel made from nylon, which has a maximum strength of 80 MPa (megapascals), no pressure exceeding this value should be applied to prevent the material from failing. In the given examples, calculations such as the force exerted by blood on an aneurysm involve using the blood pressure and the area over which the pressure is acting to determine the exerted force.
For example, if we were to calculate the maximum force exerted by blood on an aneurysm, where the maximum blood pressure is 150 mm Hg and the area of the aneurysm is 20.0 cm², we'd first convert the blood pressure from mm Hg to pascals (Pa) and then multiply the converted pressure by the area to find the force in newtons. Such calculations are critical to understanding the physical limitations and safety requirements for structures and materials subjected to internal pressures.