1. A surgeon inserted a needle in thepatient’s vein. The needle was connected to a top-open plastic bagfilled with therapeutic fluid and lifted to a height h.Find h , which is just sufficient for the fluid to enterthe vein, if the pressure gauge inside the vein was 5980 Pa. Thetherapeutic fluid density was adjusted to be the same as that ofblood, 1060kg/m3.
2. At the next stageof the treatment procedure, the surgeon used a syringe toadminister a drug fluid into the same vein as in #1. The syringewas positioned at the same level as the vein. A force of 1.20 N wasapplied to the plunger of the cross-sectional area 0.81cm2 connected to the needle of the inner radius 0.6 mm.What was pressure difference between the proximal and distal partsof the needle, given that the proximal end opened into the vein?Use the same drug fluid density as in #1.
3. What volume of thedrug fluid was injected into the vein in 2.5 s by the pressuredifference calculated in #2? [Hint: neglect the fluid speed in thesyringe].