Raft acceleration homework problem

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SUMMARY

The discussion focuses on solving two physics problems: determining how much of a wooden raft is submerged in water and calculating the upward acceleration of a helium-filled balloon. The raft has a density of 600.0 kg/m³, a top surface area of 5.7 m², and a volume of 0.50 m³, while the water density is 1.0 x 10³ kg/m³. To find the submerged volume, one must equate the weight of the raft to the weight of the displaced water. For the balloon, with a volume of 0.0230 m³ and a shell mass of 0.005 kg, the upward acceleration can be calculated using the difference in buoyant force and the weight of the balloon.

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  • Understanding of buoyancy principles and Archimedes' principle
  • Knowledge of density calculations and units (kg/m³)
  • Familiarity with basic physics equations involving force, mass, and acceleration
  • Ability to perform volume and area calculations
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  • Study Archimedes' principle for buoyancy calculations
  • Learn how to calculate buoyant force using the formula Fb = density of fluid x volume submerged x g
  • Explore the relationship between mass, weight, and acceleration in physics
  • Practice problems involving submerged objects and buoyancy in different fluids
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A raft is constructed of wood having a density of 600.0 kg/m3. The area of its top surface is 5.7 m2, and its volume is 0.50 m3. When the raft is placed in fresh water having a density of 1.0x10^3 kg/m3, how much of it is below water level?

What is the upward acceleration of a helium filled balloon of volume 0.0230 m3 if the mass of the balloon's shell is 0.005 kg? (The density of air is 1.20 kg/m3 and that of helium is 0.177 kg/m3.

I keep getting the 1st question wrong, I only have one try. I tried Fb=volumexgxdensity

Then weight=mg=densityxvolumex9.8

Then I did w/fbx100= %

then did h=volume/area
then hx%

I keep getting it wrong, please help.
 
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The weight of the raft is supported by the weight of the volume of water displaced. So you have to equate the weight of the raft with the equivalent of water to find the volume of water displaced. You should then be able to work out how much of the raft is submerged.
 

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