A hypodermic needle consists of a plunger of circular cross-section that slides

Question

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe. When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section). If a 4.6 N force is applied to the plunger and the diameters of the plunger and the needle are 1.0 cm and 2.6 mm, respectively, what force is needed to prevent fluid flow at the needle?

Question 20 options:

0.17 N

0.24 N

0.31 N

0.38 N

0.45 N

A)

0.17 N

B)

0.24 N

C)

0.31 N

D)

0.38 N

E)

0.45 N

A hypodermic needle consists of a plunger of circular cross-section that slides inside a hollow cylindrical syringe. When the plunger is pushed, the contents of the syringe are forced through a hollow needle (also of circular cross-section). If a 4.6 N force is applied to the plunger and the diameters of the plunger and the needle are 1.0 cm and 2.6 mm, respectively, what force is needed to prevent fluid flow at the needle? Question 20 options: A) 0.17 N B) 0.24 N C) 0.31 N D) 0.38 N E) 0.45 N

Explanation / Answer

(F1 / A1) = (F2 / A2)

(4.6 / ?(0.005)2) = (F2 / ?(0.0013)2)

F2 = 0.31 Newtons

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