Boat displaces 2. 5 m3 of water Density of mater = 1000 kg/m² What is the mass of water displaced. What bouyant force?
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Let mass of boat = M
When boat is floating in fresh water -
Mg = Weight of displaced water = 35.2×103
Mass of water displaced m=g35.2×103 =1035.2×103= 3520kg
So volume displaced of fresh water Vw=ρwm=10003520=3.52m3
Now when the boat is floating in sea water-
35200=ρsVsg , where ρs and Vs are density and volume of displaced water of sea respectively
Volume displaced of sea water Vs=1100×g35200=3.2m3
So change in volume = 3.52−3.20=0.32m3
Explanation:
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