The hydraulic lift (the figure below) has a small piston with the surface A1A1 =

Question

The hydraulic lift (the figure below) has a small piston with the surface A1A1 = 0.036 m2 and a large piston with the surface A2A2 = 5.0 m2. F1F1 = 19 N.

1)What force will the large piston provide if the small piston in a hydraulic lift is moved down as shown in the figure? (Express your answer to two significant figures.)____NN

2) If the small piston is depressed a distance of y1y1, by how much will the large piston rise? (Express your answer to two significant figures.)_______y1y1

3) How much work is done in slowly pushing down the small piston if y1y1 = 0.23 m? (Express your answer to two significant figures.)_______JJ

Explanation / Answer

a)

For Hydraulic lift

F2/F1 =A2/A1

F2=19*(5/0.036)=2638.9 N=2.6*103 N (approx)

b)

Here volumes are equal

A1Y1=A2Y2

Y2=(0.036/5)*0.23=0.001656 m=1.7*10-3 m

c)

Work done by small piston

W1=F1Y1=19*0.23=4.37 J=4.4 J

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