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A 6 N force is applied to the plunger of a hypodermic needle. The radius of the plunger is 0.40 cm and the radius of the needle is 0.010 cm.
Question
A 6 N force is applied to the plunger of a hypodermic needle. The radius of the plunger is 0.40 cm and the radius of the needle is 0.010 cm. With what magnitude of force_out does the fluid leave the needle with respect to the force_in ?
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Physics
3 years
2021-07-22T13:08:14+00:00
2021-07-22T13:08:14+00:00 1 Answers
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Answers ( )
Answer:
The magnitude of force the fluid leaves the needle is 3.75 x 10⁻³ N
Explanation:
Given;
applied force to the plunger, F = 6 N
radius of the plunger, r = 0.40 cm = 4 x 10⁻³ m
radius of the needle, r = 0.010 cm = 1 x 10⁻⁴ m
Pressure of the fluid is given as;
P = F / A
where;
A is area, = πr²
if pressure of the fluid is constant, the force applied to the plunger and force the fluid leaves the needle is given as;
Therefore, the magnitude of force the fluid leaves the needle is 3.75 x 10⁻³ N