In a vehicle lifter, the enclosed gas exerts | vedclass

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(A) According to Pascal's law, the pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of th

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$1600$

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(A) According to Pascal's law, the pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel.Given:Diameter of small piston, $d_1 = 8 	ext{ cm}$Diameter of large piston, $d_2 = 24 	ext{ cm}$Mass of the vehicle, $M = 1400 	ext{ kg}$Acceleration due to gravity, $g = 10 	ext{ ms}^{-2}$Force on large piston, $F_2 = M 	imes g = 1400 	imes 10 = 14000 	ext{ N}$Pressure on small piston = Pressure on large piston$\frac{F_1}{A_1} = \frac{F_2}{A_2}$Since $A = \frac{\pi d^2}{4}$, we have:$\frac{F_1}{d_1^2} = \frac{F_2}{d_2^2}$$F_1 = F_2 	imes \left(\frac{d_1}{d_2}ight)^2$$F_1 = 14000 	imes \left(\frac{8}{24}ight)^2$$F_1 = 14000 	imes \left(\frac{1}{3}ight)^2 = \frac{14000}{9} \approx 1555.55 	ext{ N}$Rounding to the nearest option, $F \approx 1600 	ext{ N}$.

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