A cylindrical space capsule lands in the ocean. This capsule is 2.44 m long, 1.10 m in diameter, and weighted at one end so that it floats with its long central axis vertical and 0.820 m of its length above the water surface. The mass density of sea water is 1025 kg/m3.What is the magnitude of the buoyant force exerted on the capsule?

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Answer:

The correct answer is "15456.8 N".

Explanation:

According to the question,

The inside volume will be:

= [tex]3.14\times (\frac{1.1}{2} )^2\times (2.44-0.82)[/tex]

= [tex]3.14\times \frac{1.21}{4}\times 1.62[/tex]

= [tex]3.14\times 03025\times 1.62[/tex]

= [tex]1.538757 \ m^3[/tex]

hence,

The buoyant force will be:

= [tex]V\times Pw\times g[/tex]

= [tex]1.538757\times 1025\times 9.8[/tex]

= [tex]15456.8 \ N[/tex]

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