A horizontal pipeline first contracts from a diameter of to and then immediately…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A horizontal pipeline first contracts from a diameter of

12\,\text{cm}

6\,\text{cm}

and then immediately expands to

9\,\text{cm}

. The speed of water in the

12\,\text{cm}

section is

2\,\text{m\,s}^{-1}

. Which pair of speeds

(v_2, v_3)

in the

6\,\text{cm}

and

9\,\text{cm}

sections, respectively, is correct? (a)

(8.0\,\text{m\,s}^{-1},\;3.6\,\text{m\,s}^{-1})

(b)

(4.0\,\text{m\,s}^{-1},\;2.7\,\text{m\,s}^{-1})

(c)

(8.0\,\text{m\,s}^{-1},\;1.8\,\text{m\,s}^{-1})

(d)

(4.0\,\text{m\,s}^{-1},\;3.6\,\text{m\,s}^{-1})