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A shower head has 25 circular openings, each with radius 1 mm. The shower head is connected to a pipe with radius 2 cm. If the speed of the water in the pipe is 25 cm/s. What is its speed as it exists the shower head openings?

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1 m/s

2 m/s

4 m/s

5 m/s

answer is C.

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Detailed Solution

AV = constant

$n A_{1} V_{1} = A_{2} V_{2}$

$25 \times π \times 10^{- 6} V_{1} = π \times {(0.02)}^{2} \times 0.25$

$V_{1} = 4 m / s$

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