Aboy is playing with a water hose, which has an exit area of 10 cm2 and has water flowing at a rate of 3 m/s. if he covers the opening of the hose with his thumb so that it now has an open area of 2 cm2, what will be the new exit velocity of the water? a. 20 m/s b. 15 m/s c. 5 m/s d. 10 m/s

The exit velocity of water is  B. 15 m/s.

According to equation of continuity, for a steady flow of water, the volume of liquid entering a pipe in 1 second is equal to the volume that leaves per second.

If the initial exit area of the pipe is A₁ and the speed of exit is v₁ and the final exit area is A₂ and its corresponding exit velocity  is v₂, then,

Rewrite the expression for v₂.

Substitute 10 cm² for A₁, 2 cm² for A₂ and 3 m/s for v₁.

The exit speed of water from the hose is 15 m/s.

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total distance/total time

(85 + 82)/(5+3)

167/8

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