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Alekssandra [29.7K]
3 years ago
5

When a 25000-kg fighter airplane lands on the deck of the aircraft carrier, the carrier sinks 0.23cm deeper into the water.

Physics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

10604 square meters

Explanation:

0.23 cm = 0.0023m

Assume the carrier has a shape of a rectangular box. When the carrier sinks 0.0023m deeper into water, the extra volume submerged into water is the same as the extra water volume being replaced. This extra volume would add an additional buoyant force to counter balance the extra weight created by the 25000 kg fighter.

With g being constant, the mass of the extra water displaced is the same as the mass of the fighter airplane m_f. And mass of the water displaced is its volume V times its density \rho

V\rho = m_f

1025V = 25000

V = 25000/1025 = 24.39 m^3

We assume the carrier has a shape of a rectangular box, so this extra displaced volume is the extra depth d = 0.0023 m times cross-section area A

V = dA

24.39 = 0.0023A

A = 24.39 / 0.0023 = 10604 m^2

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While vacationing in the mountains you do some hiking. In the morning, your displacement is S⃗ morning= (2200 m , east) + (4000
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Answer:

a

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b

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From the question we are told that  

  The displacement in the morning is  S_{morning} =  (2200 \m , east) + (4000\ m\ north) + (100 \ m ,\ vertical)

   The displacement in the afternoon is  S _{afternoon}= (1300\ m ,\ west) + (2500 \ m ,\ north) - (300\ m ,\ vertical)

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      b = \sqrt{6500^2 +(-200)^2  }

=>   b =6503.1 \  m

   

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