1. Water flowing out of a 19.0mm -diameter faucet fills a 1.00L bottle in 9.00s

Question

1. Water flowing out of a 19.0mm -diameter faucet fills a 1.00L bottle in 9.00s .

At what distance below the faucet has the water stream narrowed to 10 mm diameter?

Express your answer with the appropriate units.

2. The average density of the body of a fish is 1080 kg/m3 . To keep from sinking, a fish increases its volume by inflating an internal air bladder, known as a swim bladder, with air.

By what percent must the fish increase its volume to be neutrally buoyant in fresh water? The density of air at 20 ?C is 1.19 kg/m3 .

Explanation / Answer

2.

To be neutrally buoyant, the buoyant force must equal to the force of gravity on the fish.

?F = Fb - Fg = 0

Fg = (Pw)(Vf - Vb)(g)

Fb = (Pw)(Vf + Vb)(g)

(g)(Pw)(Vf + Vb) = (g)(PfVf + PaVb)

(1000 kg / m

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