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Pepsi [2]
3 years ago
7

James Cameron piloted a submersible craft to the bottom of the Challenger Deep, the deepest point on the ocean's floor, 11,000 m

below the surface. What was the total inward force on the 1.1-m-diameter pilot sphere in which Cameron sat?

Physics
2 answers:
Over [174]3 years ago
8 0

Answer:

4.1\cdot 10^8 N

Explanation:

First of all, we need to find the pressure exerted on the sphere, which is given by:

p=p_0 + \rho g h

where

p_0 =1.01\cdot 10^5 Pa is the atmospheric pressure

\rho = 1000 kg/m^3 is the water density

g=9.8 m/s^2 is the gravitational acceleration

h=11,000 m is the depth

Substituting,

p=1.01\cdot 10^5 Pa + (1000 kg/m^3)(9.8 m/s^2)(11,000 m)=1.08\cdot 10^8 Pa

The radius of the sphere is r = d/2= 1.1 m/2= 0.55 m

So the total area of the sphere is

A=4 \pi r^2 = 4 \pi (0.55 m)^2=3.8 m^2

And so, the inward force exerted on it is

F=pA=(1.08\cdot 10^8 Pa)(3.8 m^2)=4.1\cdot 10^8 N

riadik2000 [5.3K]3 years ago
4 0

The total inward force is about 4.1 × 10⁸ N

\texttt{ }

<h3>Further explanation</h3>

Let's recall Hydrostatic Pressure formula as follows:

\boxed{ P = \rho g h}

<em>where:</em>

<em>P = hydrosatic pressure ( Pa )</em>

<em>ρ = density of  fluid ( kg/m³ )</em>

<em>g = gravitational acceleration ( m/s² )</em>

<em>h = height of a column of liquid ( m )</em>

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

depth of the ocean's floor = h = 11 000 m

diameter pilot sphere = d = 1.1 m

atmospheric pressure = Po = 10⁵ Pa

<u>Asked:</u>

total inward force = F = ?

<u>Solution:</u>

F = P A

F = ( P_o + \rho g h ) A

F = ( P_o + \rho g h ) ( \pi d^2 ) → <em>Area of Sphere = π d²</em>

F = ( 10^5 + 1000 \times 9.8 \times 11000 ) ( \pi \times 1.1^2 )

F \approx 4.1 \times 10^8 \texttt{ Newton}

\texttt{ }

<h3>Conclusion:</h3>

The total inward force is about 4.1 × 10⁸ N

\texttt{ }

<h3>Learn more</h3>
  • Buoyant Force : brainly.com/question/13922022
  • Kinetic Energy : brainly.com/question/692781
  • Volume of Gas : brainly.com/question/12893622
  • Impulse : brainly.com/question/12855855
  • Gravity : brainly.com/question/1724648

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Pressure

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Transverse wave  and Longitudinal wave  and Electromagnetic wave

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Explanation:

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100 = - vsinθ x 5 + .5 x 9.8 x 5²

5vsinθ =  222.5

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alexdok [17]

Answer:

y = 10.2 m

Explanation:

It is given that,

Charge, q_1=-3\ nC

It is placed at a distance of 9 cm at x axis

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It is placed at a distance of 16 cm at x axis

We need to find the point on the y-axis where the electric potential zero. The net potential on y-axis is equal to 0. So,

\dfrac{kq_1}{r_1}+\dfrac{kq_2}{r_2}=0

Here,

r_1=\sqrt{y^2+9^2} \\\\r_2=\sqrt{y^2+15^2}

So,

\dfrac{kq_1}{r_1}=-\dfrac{kq_2}{r_2}\\\\\dfrac{q_1}{r_1}=-\dfrac{q_2}{r_2}\\\\\dfrac{-3\ nC}{\sqrt{y^2+81} }=-\dfrac{4\ nC}{\sqrt{y^2+225} }\\\\3\times \sqrt{y^2+225}=4\times \sqrt{y^2+81}

Squaring both sides,

3\times \sqrt{y^2+225}=4\times \sqrt{y^2+81}\\\\9(y^2+225)=16\times (y^2+81)\\\\9y^2+2025=16y^2-+1296\\\\2025-1296=7y^2\\\\7y^2=729\\\\y=10.2\ m

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8 0
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Answer:

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Answer:

v = 12.86 km/h

v = 3.6 m/s

Explanation:

Given,

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The time, t = 21/20 h

                  =  1.05 h

The velocity of a body is defined as the distance traveled by the time taken.

                                     v = d / t

                                        =  13.5 km / 1.05 h

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The conversion of km/h to m/s

                                   1 km/h = 0.28 m/s

                                     12.86 km/h = 12.86 x 0.28 m/s

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