Question

**(a)** A 2000-kg car is
lifted to a height *h* by a hydraulic lift containing an
incompressible fluid. A force of *F**1* applied on a
piston of area *A**1* results in a larger force of
*F**2* on the plunger of larger area
*A**2* . Suppose the piston has a radius of 0.0120 m
and the plunger’s radius is 0.750 m.

Calculate the height to which the car is lifted if the work done by the plunger is 200 J. (Assume that the weight of the plunger and fluid are negligible).

**(b) Calculate the
distance the piston moves to lift the car to a height
h.**

**(c)** A surgeon inserted a needle in the patient’s vein.
The needle was connected to a top-open plastic bag filled with
therapeutic fluid and lifted to a height *h*. Find
*h* , which is just sufficient for the fluid to enter the
vein, if the pressure gauge inside the vein was 5980 Pa. The
therapeutic fluid density was adjusted to be the same as that of
blood (see the lecture notes or textbook for the value).

**(d)** At the next stage of the treatment procedure, the
surgeon used a syringe to administer a drug fluid into the same
vein as in part **(c)**. The syringe was positioned at
the same level as the vein. A force of 1.20 N was applied to the
plunger of the cross-sectional area 0.81 cm^{2} connected
to the needle of the inner radius 0.6 mm. What was pressure
difference between the proximal and distal parts of the needle
given that the proximal end opened into the vein? Use the same drug
fluid density as in (c).

**(e)** What volume of the drug fluid was injected into the
vein in 2.5 s by the pressure difference calculated in (d)? [Hint:
neglect the fluid speed in the syringe].

Answer #1

A) A 1500-kg car is lifted to a height h by a hydraulic lift
containing an incompressible fluid. A force of F_1 applied on a
piston of area A_1 results in a larger force of F_2 on the plunger
of larger area A_2. Suppose the piston has a radius of 0.0120 m and
the plunger’s radius is 0.150 m. Calculate the height to which the
car is lifted if the work done by the plunger is 200 J. (Assume
that...

(c) A surgeon inserted a needle in the patient’s vein.
The needle was connected to a top-open plastic bag filled with
therapeutic fluid and lifted to a height h. Find h, which is just
sufficient for the fluid to enter the vein, if the pressure gauge
inside the vein was 5980 Pa. The therapeutic fluid density was
adjusted to be the same as that of blood (see the lecture notes or
textbook for the value).
(d) At the next stage...

A surgeon inserted a needle in the
patient’s vein. The needle was connected to a top-open plastic bag
filled with therapeutic fluid and lifted to a height h.
the pressure gauge inside the vein was 5980 Pa. The therapeutic
fluid density was adjusted to be the same as that of blood (see the
lecture notes or textbook for the value).
(d) At the next stage of the treatment procedure, the
surgeon used a syringe to administer a drug fluid into...

A surgeon inserted a needle in the patient’s vein. The needle
was connected to a top-open plastic bag filled with therapeutic
fluid and lifted to a height h. Find h, which is just sufficient
for the fluid to enter the vein, if the pressure gauge inside the
vein was 5980 Pa. The therapeutic fluid density was adjusted to be
the same as that of blood (see the lecture notes or textbook for
the value).
(d) At the next stage of...

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(a) What is the minimum force required at the input piston to
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(b)What pressure is exerted at the small piston...

1.A hydraulic lift is lifting a car that weighs 14 kN. The area
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1. A hydraulic lift uses a compressor to compress the hydraulic
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