2. A hypodermic syringe contains a medicine with a density of 1,000 kg/m. The barrel of the syringe has a cross-sectional area A = 2.40 x 10-$ m², and the needle has a cross-sectional area a = 1.00 x 10 m?. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force F of magnitude 2.00 N acts on the plunger, making medicine squirt horizontally from the needle. (a) What is the applied pressure in the syringe when the force F acts on the plunger? (3pts) (b) Determine the speed of the medicine inside the barrel with area A when F is acting on it. (5pts) (c) Calculate the speed of the medicine as it leaves the needle's tip. (2pts) FIGURE 2

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2. A hypodermic syringe contains a medicine with a
density of 1,000 kg/m. The barrel of the syringe has a
cross-sectional area A = 2.40 x 105 m?, and the needle
has a cross-sectional area a = 1.00 x 10 m?. In the
absence of a force on the plunger, the pressure
everywhere is 1.00 atm. A force F of magnitude 2.00 N
acts on the plunger, making medicine squirt
horizontally from the needle.
(a) What is the applied pressure in the syringe when the force F acts on the plunger? (3pts)
(b) Determine the speed of the medicine inside the barrel with area A when F is acting on it. (5pts)
(c) Calculate the speed of the medicine as it leaves the needle's tip. (2pts)
FIGURE 2
Transcribed Image Text:2. A hypodermic syringe contains a medicine with a density of 1,000 kg/m. The barrel of the syringe has a cross-sectional area A = 2.40 x 105 m?, and the needle has a cross-sectional area a = 1.00 x 10 m?. In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force F of magnitude 2.00 N acts on the plunger, making medicine squirt horizontally from the needle. (a) What is the applied pressure in the syringe when the force F acts on the plunger? (3pts) (b) Determine the speed of the medicine inside the barrel with area A when F is acting on it. (5pts) (c) Calculate the speed of the medicine as it leaves the needle's tip. (2pts) FIGURE 2
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