Please show steps , thanks 4. A 2000 kg car rests on a platform that sits on a c

Question

Please show steps , thanks
4. A 2000 kg car rests on a platform that sits on a container of fluid. The platform has an area of 4 m^2. At the other end of the container has a plunger of area 100 cm^2. a) What pressure must be exerted by the fluid on the platform to keep the car at rest? b) What force must be exerted on the plunger to supply this pressure? 5. Water flows at a rate of 2.0 L/s through a pipe with a diameter of 10 cm. The pipe then goes up a height of 5m while narrowing to a diameter of 5 cm. What is the pressure gradient (the change in pressure) from the top to the bottom of the pipe? [hint: draw this and label with P1, v I , P2, v2 etc.)

Explanation / Answer

4) a)pressure exerted by car = force/area = 2000*9.8/4= 4900 N/m^2

b)load to be applied on plunger to keep car in rest= pressure *area = 4900*100*10^-4 = 49 N

5)    given V =1.2 L/s = 1200 cm^3/s v1 = V/a1 = 1200/ (3.14 * 25) = 15.29 cm/s v2 = V/a2= 1200/(3.14 *25/4 )= 61.15 cm/s      d1= 10 cm   r1 = 5 cm     d2 =5 cm r2 = 5/2 cm   r1 = r2 = 1gm/cm^3 h1 =0 h2 = 5 m = 500 cm g= 980 cm /s^2

By Bernoulli theorem

p1+r1gh1 + 0.5r1'v1^2 = p2 +r2gh2 + 0.5 r2v2^2

p1 +1*980*0 +0.5*1* 15.29^2 = p2 + 1*980 *500 + 0.5 *1*61.15^2

p1-p2 = 980*500+.5*1*61.15^2 - 0.5 *1*15.29^2

         = 491752.77 dyne/cm^2 = 49175.3 Pa

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