answer.
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
o-na
3 months ago
11

A spherical balloon has a radius of 6.95m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of ai

r is 1.29 kg/m3. The skin and structure of the balloon has a mass of 960kg . Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift.
Physics
1 answer:
Sav [3.1K]3 months ago
6 0

Answer:

602.27 kg

Explanation:

Below is the calculation for determining the maximum cargo weight the balloon can lift:

Helium volume within the balloon = (4 ÷ 3) × π × r^3

= (4 ÷ 3) × 3.14 × 6.953

= 1406.19 m³

Maximum lift capacity of the balloon = volume × (density of air - density of helium)

= 1406.19 × (1.29 - 0.179)

= 1562.27 kg

The maximum cargo weight it can carry is calculated as: Cargo capacity - Weight of structure

= 1562.27 - 960

= 602.27 kg

You might be interested in
A rocket in deep space has an exhaust-gas speed of 2000 m/s. When the rocket is fully loaded, the mass of the fuel is five times
Sav [3153]

Answer:

 v_{f} = 1,386 m / s

Explanation:

The mechanism behind rocket propulsion is defined by the formula

       v_{f} - v₀ =  v_{r} ln (M₀ / Mf)

Here, v refers to the initial, final, and relative velocities, while M indicates the masses

The provided values include the relative velocity (see = 2000 m / s) and the initial mass, where the mass of the rocket when loaded is represented as (M₀ = 5Mf)

For our analysis, we assume the rocket begins at rest (v₀ = 0)

Once half of the fuel has burnt, the mass ratio indicates that the current mass is    

       M = 2.5 Mf

       v_{f} - 0 = 2000 ln (5Mf / 2.5 Mf) = 2000 ln 2

       v_{f} = 1,386 m / s

3 0
3 months ago
When θ= 0 ̊, the assembly is held at rest, and the torsional spring is untwisted. if the assembly is released and falls downward
Sav [3153]
The rod measures 450mm in length, while the disk has a radius of 75mm. An upward-supporting pin holds the assembly in place when Θ=0, and there exists a torsional spring with a constant of k=20N m/rad at the pin. One end of the rod connects to the pin, while the other connects to the disk.


7 0
3 months ago
A physics student stands on the rim of the canyon and drops a rock. The student measures the time for it to reach the bottom to
inna [3103]

Answer:

The canyon measures 50.176 meters deep.

Explanation:

The student drops a rock from the rim of the canyon, requiring us to ascertain the depth of the canyon—name how far the ground is below the cliff.

The data we have:

Time = t = 3.2 s

Initial velocity = v_{i} = 0 m/s

Gravitational acceleration = g = 9.8 m/s²

Height = h =?

According to the second equation of motion

h = v_{i}t + \frac{1}{2}gt^{2}

Given the initial velocity is zero, the right-hand side of the equation simplifies to zero

h = \frac{1}{2}gt^{2}

h = (0.5)(9.8)(3.2)²

h = 50.176 m

This calculation indicates that the rock dropped a distance of 50.176 meters to reach the canyon's base. Thus, the canyon depth is 50.176 meters.
5 0
3 months ago
A force f = bx 3 acts in the x direction, where the value of b is 3.7 n/m3. how much work is done by this force in moving an obj
serg [3582]
The result will be 21.6, but rounding yields 22J.
8 0
3 months ago
A microwave oven operating at 120 volts is used to heat a sandwich if the oven draws 12.5 amperes of current for 45 seconds what
kicyunya [3294]
To determine the power dissipated by the oven, we can use the known voltage of 120 volts and a current of 12.5 amperes.
The power formula is P=V*I, where "V" indicates voltage and "I" represents current.
Thus, P=120*12.5
As a result, P=1500 watts.
This means the answer is 1500 watts.
3 0
4 months ago
Other questions:
  • A mouse runs along a baseboard in your house. The mouse's position as a function of time is given by x(t)=pt2+qt, with p = 0.36
    9·1 answer
  • A 50-g cube of ice, initially at 0.0°C, is dropped into 200 g of water in an 80-g aluminum container, both initially at 30°C.
    11·1 answer
  • Can a small child play with fat child on the seesaw?Explain how?
    14·2 answers
  • A baseball hits a car, breaking its window and triggering its alarm which sounds at a frequency of 1210 Hz. What frequency (in H
    5·1 answer
  • An uncharged spherical conducting shell surrounds a charge –q at the center of the shell. Then charge +3q is placed on the outsi
    7·1 answer
  • A 45.0-kg person steps on a scale in an elevator. The scale reads 460 n. What is the magnitude of the acceleration of the elevat
    11·1 answer
  • 3. A sample of argon of mass 6.56 g occupies 18.5 dm? at 305 K. (a) Calculate the work done when the gas expands isothermally ag
    8·1 answer
  • A beaker contains 450g of water at a temperature of 24C, The therman capacity of the beaker is negligible and no heat is gained
    6·1 answer
  • during conversion water to ice,forces of attraction between molecules. OPTIONS:1.)Decreases 2.)Increases 3.)Does not change 4.)C
    5·1 answer
  • A person is working on a steel structure while standing on the ground. An accident occurred where 5 A pass through the structure
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!