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A stream of water flowing horizontally w...

A stream of water flowing horizontally with a speed of 15 m s'1 gushes out of a tube of cross-sectional area 10-2 `m_(2)` and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water assum ing it does not rebound ?

Text Solution

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Velocity of flow water v = 15 `ms^(-1)`
Area of cross section of tube A = `10^(2) ms^(2)`
Volume of liquid flowing through tube enery second
`V= Av `
`10^(2) xx 15 `
`=15 xx 10^(2) m^(3) //s`
Density of water p = `10^(3) kgm^(-3) `
`m= pv `
`150 kg//s`
Force acting on wall due to impact of water
= change in momentum every second
`= mv `
`=2250 N`
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