1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yuradex [85]
3 years ago
9

A hot air balloon must be designed to support a basket, cords, and one person for a total payload weight of 1300 N plus the addi

tional weight of the balloon material itself. The balloon material has a mass of 60 g/m2. Ambient air is at 25 °C and 1 atm. The hot air inside the balloon is at 70 °C and 1 atm. Assuming that the balloon has a perfectly spherical shape, what balloon diameter will just support the total weight? Neglect the size of the hot air inlet vent and assume an ideal gas law (P = rhoRT) for the air.
Physics
1 answer:
RSB [31]3 years ago
3 0

Answer:

r = 4.44 m

Explanation:

 

For this exercise we use the Archimedes principle, which states that the buoyant force is equal to the weight of the dislodged fluid

         B = ρ g V

Now let's use Newton's equilibrium relationship

         B - W = 0

         B = W

The weight of the system is the weight of the man and his accessories (W₁) plus the material weight of the ball (W)

         σ = W / A

         W = σ A

The area of ​​a sphere is

           A = 4π r²

       W = W₁ + σ 4π r²

The volume of a sphere is

           V = 4/3 π r³

Let's replace

     ρ g 4/3 π r³ = W₁ + σ 4π r²

If we use the ideal gas equation

     P V = n RT

    P = ρ RT

    ρ = P / RT

 

    P / RT g 4/3 π r³ - σ 4 π r² = W₁

    r² 4π (P/3RT  r - σ) = W₁

Let's replace the values

     r² 4π (1.01 10⁵ / (3 8.314 (70 + 273)) r - 0.060) = 13000

     r² (11.81 r -0.060) = 13000 / 4pi

     r² (11.81 r - 0.060) = 1034.51

As the independent term is very small we can despise it, to find the solution

       r = 4.44 m

You might be interested in
9.(7 +1) Line I 9.7 +9.1 Line 2 The expression was rewritten using the Distributive Property 9. (7 + 1) equals 9. 7 which equals
zhenek [66]

Answer:

Sorry

Explanation:

I really don't know what to say about this question I am not sure what to say about this

3 0
2 years ago
Why is long lasting thought important for sustainable development?<br>plz answer it....​
IgorC [24]

Long lasting is thought important for sustainable development because it suggest the target of economic and sustainable development without displacing means and resources of the earth.

Explanation:

Hope it helps you................

Plz mark as brainlist answer

7 0
3 years ago
A 4kg ball moving at 8m\sec
Llana [10]
Conservation of momentum: total momentum before = total momentum after

Momentum = mass x velocity

So before the collision:
4kg x 8m/s = 32
1kg x 0m/s = 0
32+0=32

Therefore after the collision
4kg x 4.8m/s = 19.2
1kg x βm/s = β
19.2 + β = 32

Therefore β = 12.8 m/s
8 0
3 years ago
(b) A Blu-ray laser has a power of 5 milliwatts (1 watt = 1 J s−1). How many photons of light are produced by the laser in 1 hou
worty [1.4K]

Answer:

The number of photons of light produced by the laser in 1 hour is

1 Photon / hour

Explanation:

Number of photons of light produced is given by

Number of photons = \frac{Power}{Energy}

From the question,

Power = 5 mW (milliwatts) = 5 × 10⁻³ W

Since 1 Watt = 1 Js⁻¹

Then, 5 × 10⁻³ W = 5 × 10⁻³ Js⁻¹

For the Energy,

As given from the question

Energy=(Power)x(time)

Time = 1 hour = (1 × 60 × 60) s = 3600 s

∴ Energy = 5 × 10⁻³ Js⁻¹ x 1 x 3600s

Energy =18.0 J

Now for the Number of photons produced,

Number of photons = \frac{Power}{Energy}

Power = 5 × 10⁻³ Js⁻¹ = 0.005 Js⁻¹

Number of photons = \frac{0.005}{18}

Number of photons = 2.78 × 10⁻⁴ Photons / sec

This is the number of photons produced in 1 second.

For the number of photons produced in 1 hour, we will multiply the result by 3600

(NOTE: 1 sec = \frac{1}{3600} hour)

Number of photons = 2.78 × 10⁻⁴ Photons / sec

= 2.78 × 10⁻⁴ × 3600 Photons / hour

= 1.0008 Photons / hour

≅ 1 Photon / hour

Hence, the number of photons of light produced by the laser in 1 hour is

1 Photon / hour

5 0
3 years ago
Waves are common in nature because many different ____________ produce waves
Kamila [148]

Answer:B

Explanation:

3 0
3 years ago
Other questions:
  • I don't get this stuff!!! help me!!!
    10·1 answer
  • Write the equation that links current, potential difference, and resistance
    13·1 answer
  • Three mountain climbers set out to climb a mountain from the same altitude and all arrive at the same location at the top. Mount
    9·1 answer
  • Calculate the acceleration of the car which moves 36m/s in 8s
    10·1 answer
  • Which conditions are necessary for clouds to form?
    7·2 answers
  • A little help please?
    12·1 answer
  • Archerfish are tropical fish that hunt by shooting drops of water from their mouths at insects above the waterÂs surface to knoc
    9·2 answers
  • Describe the laws of liquid pressure and explain the term fluid. (Please try to give the correct answer 'coz it's urgent!)​
    10·1 answer
  • Which of the following improves your range of motion and helps prevent
    13·1 answer
  • The sizes of most of the cells our bodies are about A.1micrometer
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!