Solution.
1.h1=730m;
h2=1370m;
p=ρgΔh;Δh=h2−h1;
Δh=1370m−730m=640m;
p=1000kg/m3⋅9.8N/kg⋅640m=6.272⋅106Pa;
2.ho=1.2m;ρo=0.82g/cm3=820kg/m3;
hw=0.5m;ρw=1000kg/m3;
hm=0.3m;ρw=13.6g/cm3=13600kg/m3;
p=ρgh;
po=820kg/m3⋅9.8N/kg⋅1.2m=9643.2Pa=9.643kPa;
pw=1000kg/m3⋅9.8N/kg⋅0.5m=4900Pa=4.9kPa;
pm=13600kg/m3⋅9.8N/kg⋅0.3m=39984Pa=39.984kPa;
p=po+pw+pm;
p=9.643kPa+4.9kPa+39.984kPa=54.527kPa;
3.a=8cm=0.08m;
ρ=900kg/m3;
m=ρ⋅V;
V=a3; V=(0.08m)3=0.000512m3;
m=900kg/m3⋅0.000512m3=0.4608kg;
P=mg;P=0.4608kg⋅9.8N/kg=4.52N;
4.P=130N;
ρ=9g/cm3=9000kg/m3;
m=ρV⟹V=ρm;
P=mg⟹m=gP;
m=9.8N/kg130N=13.265kg;
V=9000kg/m313.265kg=0.00147m3;
FA=ρwgV;
FA=1000kg/m3⋅9.8N/kg⋅0.00147m3=14.4N;
Answer: 1. p=6.272⋅106Pa;
2.p=54.527kPa;
3.m=0.4608kg; P=4.52N;
4.V=0.00147m3; FA=14.4N;
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