Solved: A hydraulic lift is used to jack a 970-kg car 12

Chapter 4, Problem 68GP

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A hydraulic lift is used to jack a \(970-\mathrm{kg}\) car \(12 \mathrm{~cm}\) off the floor. The diameter of the output piston is \(18 \mathrm{~cm}\), and the input force is \(250 \mathrm{~N}\). (a) What is the area of the input piston?  (b) What is the work done in lifting the car \(12 \mathrm{~cm}\)?  (c) If the input piston moves \(13 \mathrm{~cm}\) in each stroke, how high does the car move up for each stroke?  (d) How many strokes are required to jack the car up \(12 \mathrm{~cm}\)?  (e) Show that energy is conserved.

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