7.4) If the pressure in the cerebrospinal fluid surrounding the brain of an infant rises to 85 mm Hg (5-12 mm Hg is normal), the resulting outward force will cause the skull to grow large. Calculate the outward force in newtons on each side of such an infant's skull if the effective area of each side is 75 cm^2.
Note: Guys help me, provide me an answer with solution/formula. Thanks!!!?
To calculate the outward force on each side of the infant's skull, we can use the formula:
Force = Pressure * Area
First, we need to convert the effective area from cm^2 to m^2, as the SI unit for pressure is Newtons per square meter (N/m^2):
75 cm^2 = 75/10000 m^2 = 0.0075 m^2
Next, we can plug the values into the formula:
Force = 85 mm Hg * 0.0075 m^2
However, we need to convert the pressure from mm Hg to N/m^2. 1 mm Hg = 133.3224 N/m^2 (Pascal).
85 mm Hg = 85 * 133.3224 N/m^2 = 11,324.948 N/m^2
Now, we can calculate the force:
Force = 11,324.948 N/m^2 * 0.0075 m^2
Force = 84.9371 N
Therefore, the outward force on each side of the infant's skull is approximately 84.9371 Newtons.