10.In a car lift compressed air exerts a force F_(1) on a small piston having a radius of 4.0cm.This pressure is transmitted to a second piston of radius 12cm.(see figure).If the mass of the car to be lifted is 1200kg.Calculate F_(1).What is the pressure necessary to accomplish this task? (g=9.8ms^(-2))
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Answer:
From pascal’s law
P
1
=P
2
A
1
F
1
=
A
2
F
2
πr
1
2
F
1
=
πr
2
2
F
2
F
1
=
r
2
2
F
2
r
1
2
F
1
=
(15×10
−2
)
2
1350×9.8×(5×10
−2
)
2
F
1
=1470N
F
1
=1.47×10
3
N
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