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Question

A rubber pipe with a diameter of 10 cm is connected to a nozzle 2 cm in diameter. Water flowing through the pipe at a speed of 0.6 ms−1 comes out like a jet through the nozzle. The backward force of the nozzle is about:

A
7.7 N
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B
67.9 N
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C
zero
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D
2.8 N
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Solution

The correct option is B 67.9 N
Diameter D of pipe =10cm
Diameter d of nozzle =2cm
Velocity of water v=0.6m/s
Reaction force=v×dmdt (rate of mass flow)
=>F=0.6×10222×0.052×0.6×1000×227=67.9N

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