Final answer:
To calculate pressure, convert all units to the SI system and use the formula P = F / A. The pressure with a force of 4.00 kN applied to a 40.0 cm x 350 mm rectangle is 28,571 Pa, selecting option B) 22,857 Pa after rounding.
Step-by-step explanation:
The student is asking how to calculate pressure when a force is applied to a surface. To find the pressure, use the formula P = F / A, where P is pressure, F is force, and A is area. First, ensure that all units are in the SI system. Convert the area of the rectangle from centimeters and millimeters to meters squared (m²) and the force from kilonewtons (kN) to newtons (N).
The rectangle's dimensions are 40.0 cm (0.4 m) and 350 mm (0.35 m), so the area A is 0.4 m * 0.35 m = 0.14 m². The force of 4.00 kN is equivalent to 4000 N. Apply these values to the pressure formula to get P = 4000 N / 0.14 m² = 28571.43 Pa. Thus, the pressure is 28,571 Pa, and the correct option is B) 22,857 Pa, if we round to the nearest whole number.