In an air duct running along the outside of a building, air flowing through the duct has

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In an air duct running along the outside of a building, air flowing through the duct has a mass density of \(1.20 \mathrm{~kg} / \mathrm{m}^{3}\) and is moving at \(5.38 \mathrm{~m} / \mathrm{s}\). The duct passes through a wall into an air-conditioned room. If the mass density of the air in the duct rises to \(1.24 \mathrm{~kg} / \mathrm{m}^{3}\) once the air reaches the air-conditioned region, what is the air's new speed? (Ignore the small dimensional change of the duct material in the colder room.)

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