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Gennadij [26K]
3 years ago
10

A research submarine can withstand an external pressure of 62 megapascals (million pascals) all the while maintaining a comforta

ble internal pressure of 101 kilopascals. How deep can it dive in the ocean before it would risk collapsing from the pressure
Physics
1 answer:
Alex3 years ago
7 0

Answer:

<em>The depth will be equal to</em> <em>6141.96 m</em>

<em></em>

Explanation:

pressure on the submarine P_{sea} = 62 MPa = 62 x 10^6 Pa

we also know that P_{sea} = ρgh

where

ρ is the density of sea water = 1029 kg/m^3

g is acceleration due to gravity = 9.81 m/s^2

h is the depth below the water that this pressure acts

substituting values, we have

P_{sea} = 1029 x 9.81 x h = 10094.49h

The gauge pressure within the submarine P_{g} = 101 kPa =  101000 Pa

this gauge pressure is balanced by the atmospheric pressure (proportional to 101325 Pa) that acts on the surface of the sea, so it cancels out.

Equating the pressure P_{sea}, we have

62 x 10^6 = 10094.49h

depth h = <em>6141.96 m</em>

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Answer:

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Explanation:

Gamma radiation, visible light (light from a lamp), and microwaves are all apart of the electromagnetic spectrum.

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Young's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (λ = 6
Marianna [84]

Answer:

The separation distance between the slits is 16710.32 nm.

Explanation:

Given that,

Wavelength = 641 nm

Angle =4.4°

(a). We need to calculate the separation distance between the slits

Using formula of young's double slit

d\sin\theta=m\lambda

d=\dfrac{m\lambda}{\sin\theta}

Where, d = the separation distance between the slits

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d=\dfrac{2\times641\times10^{-9}}{\sin4.4}

d=0.00001671032\ m

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3 years ago
Suppose a straight wire with a length of 2.0 m runs perpendicular to a magnetic field with a magnitude of 38 T. What current wou
iragen [17]

Answer:

9.67 A

Explanation:

The weight of a student with a mass of m = 75 kg is:

W=mg=(75 kg)(9.8 m/s^2)=735 N

where g=9.8 m/s^2 is the acceleration due to gravity.

We want the magnetic force on the wire to be equal to this weight. The magnetic force on the wire is

F=ILB sin \theta

where

I is the current in the wire

L = 2.0 m is the length of the wire

B = 38 T is the magnetic field

\theta=90^{\circ} is the angle between the direction of B and L

Since we want W=F, we can write

ILB sin \theta=W

And we can solve it to find the current I:

I=\frac{W}{BLsin\theta}=\frac{735 N}{(38 T)(2.0 m)(sin 90^{\circ})}=9.67 A

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3 years ago
A 1500 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2500 kg SUV traveling from ea
kolezko [41]

Answer:

v = 19.33 m / s   South

Explanation:

To solve this exercise we must use the conservation of momentum, for which we must define a system formed by the two cars, therefore the forces during the collision are internal and therefore the moment is conserved.

Since it is a vector quantity, we are going to work on each axis, the x axis is in the East-West direction

initial instant. Before the crash

        p₀ = m 0 + M v₂ₓ

final instant. Right after the crash

        p_f = (m + M) vₓ

        p₀ = 0_pf

        M v₂ₓ = (m + M) vₓ

In this case m is the mass of the car and M the mass of the SUV

        vₓ = \frac{M}{m+My}  v₂ₓ            (1)

in the Y axis (North - South direction)

initial instant

       p₀ = m v_{1y} + M 0

final moment

       p_f = (m + M) v_y

       p₀ = p_f

       m v_{1y} + M 0 = (m + M) v_y

       v_y = \frac{m}{m+M}  \  v_{1y}       (2)

With these speeds we can use the relationship between work and the variation of kinetic energy, in this part the two cars are already united.

         W = ΔK

friction force work is

         W = - fr d

the friction force is described by the equation

         fr = μ N

Newton's second law

         N-W = 0

         N = W

         

we substitute

         W = - μ (m + M) g d

as the car stops the final kinetic energy is zero and

the initial kinetic energy is

         K₀ = ½ (m + M) v²

we substitute

         - μ (m + M) g d = 0 - ½ (m + M) v²

            μ g d = ½ v²

            v² = 2 μ g d

the distance traveled can be found with the Pythagorean theorem

        d = \sqrt{x^2+y^2}

        d = \sqrt{5.48^2 + 6.37^2}

        d = 8.40 m

let's calculate the speed

         v² = 2 0.75 9.8 8.40

         v = √123.48

         v = 11.11 m / s

this velocity is in the direction of motion so we can use trigonometry to find the angles

          tan θ = y / x

          θ = tan⁻¹ y / x

          θ = tan⁻¹ (-5.48 / -6.37)

          θ = 40.7º

Since the two magnitudes are negative, this angle is in the third quadrant, measured from the positive side of the x-axis in a counterclockwise direction.

          θ'= 180 + 40.7

          θ’= 220.7º

In the exercise they indicate the the sedan moves in the y-axis, therefore

          sin θ'= v_y / v

          v_y = v sin 220.7

          v_y = 11.11 sin 220.7

          v_y = -7.25 m / s

the negative sign indicates that it is moving south

To find the speed we substitute in equation 2

          v_y = \frac{m}{m+M}  \ v_{1y}

          v_{1y} = v_ y   \frac{m+M}{m}

           

let's calculate

         v_{1y} = -7.25    \frac{1500+2500}{1500}

         v_{1y} = - 19.33 m/s

therefore the speed of the sedan is v = 19.33 m / s with a direction towards the South

4 0
3 years ago
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