A steam of water flowing horizontally
with a speed of 25ms gushes out of a
tube of cross-sectional area 102 m2,
and hits at a vertical wall nearby. What
is the force exerted on the wall by the
impact of water?
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Explanation:
The horizontal speed of the stream is,v=15m/s
The area of cross-section of the tube, A=10
−2
m
2
The Density of water is,=10
3
kg/m
3
The volume of water coming out from the pipe per second,
V=Av=15×10
−2
m
3
/s
Mass of water flowing out through the pipe per second = density×Volume=150kg/s
Since the water does not rebound from the wall, the force exerted by the water on the wall is given by:
F=Rate of change of momentum=
t
P
F=
t
mv
for t=1 s
F=150×15=2250N
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