Find: (1) the pressure p of water on the bottom of the container, and the buoyancy f of the wood block floats;
(2) the density of wood ρ wood.
Solution: (1) Water pressure at the bottom of the container:
P = rho water GH =1.0×103kg/m3×10n/kg× 0.5m = 5000pa,
At this point, the wood block is completely immersed in the water.
∴V row =V=0.004m3,
Buoyancy of wood block:
F float = ρ water gV row =1.0×103kg/m3×10n/kg× 0.004m3 = 40n;
(2) If the rope breaks, the pulley finally floats on the water.
∵ Wood blocks float on the water,
∴ f floating' = Cowood,
∫F float =ρgV row, and ρ=mV, G=mg,
ρ water gV row' = ρ wood Vg, that is, ρ water g(V-25V)=ρ wood Vg,
Solution: ρ wood =35ρ water = 35×1.0×103kg/m3 = 0.6×103kg/m3.
Answer: (1) The pressure of water on the bottom of the container is 5000Pa, and the buoyancy of the wood block is 40 N;
(2) The density of wood block is 0.6× 103kg/m3.