In a hydraulic lift, the surface area of the input piston is 6 cm² and that of the output piston is 1500 cm². If 100 N force is applied to the input piston to raise the output piston by 20 cm, then the work done is _________ kJ.
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In hydraulic systems, the work done is the same on both pistons. Use the formula \( W = F \times d \) to calculate work, remembering to convert units appropriately.
The work performed on the input piston equals the applied force multiplied by the displacement:\[W_{{input}} = F \times d = 100 \times 20 = 2000 \, {N cm}\]To convert this work to Joules, divide by 100, given that 1 J = 100 N·cm:\[W_{{input}} = 2000 \, {N cm} / 100 = 20 \, {J} = 0.01 \, {kJ}\]Therefore, the accurate value is \( 0.01 \, {kJ} \).
