Question #224836

About strikes anunder water rock and opens a pencil-sized crack 7.0mmwide 

min to locate the crack and plug it up. How much water has entered the boat in the meantime?


1
Expert's answer
2021-08-10T17:57:18-0400

Consider great area to be length×\times width

=150×7=10.5cm2150\times7=10.5cm^2

Now the depth of crack below water line=65cm

Newton's 2nd law

v2=u2+2asv^2=u^2+2as

u=0

v2=2gsv^2=2gs


v2=2×980×65=127400v=357cm/secv^2=2\times980\times65=127400\\v=357 cm/sec

Flow rate Q=Av

Q=357×10.5=3747cm3/secQ=3.74litQ=357\times10.5=3747cm^3/sec\\Q=3.74lit

t=5min =300sec

Total volume =3.74×300=1122titer=1.12m33.74\times300=1122titer=1.12m^3




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