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Question

A stream of water (density ρ) flowing horizontally with a speed v emerges from a tube of cross-sectional area A and hits on adjacent vertical wall. The force of impact on the wall when the water does not rebound is:

A
ρAv2
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B
ρAv
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C
ρAv
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D
none of these
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Solution

The correct option is A ρAv2
The amount of water striking in time dt will be

dm=ρAvdt

Thus, change of momentum if water does not rebound will be

dP=v(dm)=ρAv2dt

Thus,

F=dPdt=ρAv2

Answer is ρAv2

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