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Question: Water is moving with a speed of 5.18 ms<sup>–1</sup> through a pipe with a cross-sectional area of 4...

Water is moving with a speed of 5.18 ms–1 through a pipe with a cross-sectional area of 4.20 cm2. The water gradually descends 9.66 m as the pipe increase in area to 7.60 cm2. The speed of flow at the lower level is

A

(a) 3.0 ms–1

A

(b) 5.7 ms–1

A

(c) 3.82 ms–1

A

(d) 2.86 ms–1

Explanation

Solution

(d)

a1v1=a2v2a _ { 1 } v _ { 1 } = a _ { 2 } v _ { 2 }

4.20×5.18=7.60×v2v2=2.86 m/s4.20 \times 5.18 = 7.60 \times v _ { 2 } \Rightarrow v _ { 2 } = 2.86 \mathrm {~m} / \mathrm { s }