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A 60.0-kg survivor of a cruise line disaster rests atop a block of styrofoam insulation with dimensions 2.00 m ✕ 2.00 m ✕ 0.0810 m. The bottom 0.025 m of the raft is submerged. What is the buoyant force acting on the raft? a) 12 N b) 24 N c) 36 N d) 48 N

User StickyCube
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1 Answer

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Final answer:

To calculate the buoyant force acting on the raft, you need to find the volume of water displaced by the submerged portion of the raft. Then, calculate the mass of the water and use it to determine the buoyant force using Archimedes' principle. The buoyant force acting on the raft is 980 N.

The correct opton is Not given.

Step-by-step explanation:

To calculate the buoyant force acting on the raft, we can use Archimedes' principle. This principle states that the buoyant force is equal to the weight of the fluid displaced by the object. In this case, the fluid is water and the object is the submerged portion of the raft.

First, let's calculate the volume of water displaced by the raft. The submerged portion of the raft has a height of 0.025 m, so the volume is given by:

Volume = (2.00 m)(2.00 m)(0.025 m) = 0.100 m³

Next, we can find the mass of the water using its density:

Mass = Density × Volume = (1000 kg/m³)(0.100 m³) = 100 kg

Finally, we can calculate the buoyant force using the formula:

Buoyant force = Weight of the fluid = Mass of the water × gravitational acceleration

Buoyant force = (100 kg)(9.8 m/s²) = 980 N

Therefore, the buoyant force acting on the raft is 980 N.

The correct opton is Not given.

User Peenut
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