Answer:
the correct answer is C, 281 lb
Explanation:
This is an exercise in fluid mechanics specifically on Pascal's principle, which states that the pressure in a fluid is equal to all points that are at the same depth
P = [tex]\frac{F_{1} }{A_{1} }[/tex] = [tex]\frac{F_{2} }{A_{2} }[/tex]
If we use the subscript 1 for the piston diameter mentor (d = 1.00vm) which is r = 0.05 cm, the force is F1 = 45 lb
F₂ = \frac{F_{1} }{A_{1} } F₁
in area of a circules
A = π r²
we substitute
F₂ = [tex]\frac{r_{2}^2 }{r_{1}^2} F_{1}[/tex]
let's calculate
F2 = 2.50² / 1.00² 45
F2 =281 lb
therefore the correct answer is C