One way to administer an inoculation is with a gun that

Chapter , Problem 86

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One way to administer an inoculation is with a gun that shoots the vaccine through a narrow opening. No needle is necessary, for the vaccine emerges with suffi cient speed to pass directly into the tissue beneath the skin. The speed is high, because the vaccine (r 5 1100 kg/m3 ) is held in a reservoir where a high pressure pushes it out. The pressure on the surface of the vaccine in one gun is 4.1 3 106 Pa above the atmospheric pressure outside the narrow opening. The dosage is small enough that the vaccines surface in the reservoir is nearly stationary during an inoculation. The vertical height between the vaccines surface in the reservoir and the opening can be ignored. Find the speed at which the vaccine emerges.

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