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A steam of water flowing horizontally wi...

A steam of water flowing horizontally with a speed of `25m ^(s-1)` gushes out of a tube of cross-sectional area `10^(-3) m^(2)`, and hits at a vertical wall nearby. What is the force exerted on the wall by the impact of water

A

125N

B

625N

C

`-650N`

D

`-1125N`

Text Solution

Verified by Experts

The correct Answer is:
B
`"Here", u=25ms^(-1), v=0, t=1s, A=10^(-3)m^(2)`
Density of water, `rho=1000kgm^(-3)`
Mass of water gushed out per second, m `=("Volume"xx"density")/("time")=("area"xx"distance"xx"density")/("time")`
`=Avrho=10^(-3)xx25xx1000=25kg`
`F=ma=m((v-u)/(t))=25xx((-25)/(1))=-625N`
`F'=F=625N`
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