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
zloy xaker [14]
4 years ago
6

It has been proposed that we could explore Mars using inflated balloons to hover just above the surface. The buoyancy of the atm

osphere would keep the balloon aloft. The density of the Martian atmosphere is 0.0154 kg/m^3 (although this varies with temperature). Suppose we construct these balloons of a thin but tough plastic having a density such that each square meter has a mass of 4.50 g . We inflate them with a very light gas whose mass we can neglect.
a. What should be the radius and mass of these balloons so they just hover above the surface of Mars?
b. If we released one of the balloons from part (a) on earth, where the atmospheric density is 1.20kg/m^3, what would be its initial acceleration assuming it was the same size as on Mars? Would it go up or down?
c. If on Mars these balloons have five times the radius found in part (a), how heavy an instrument package could they carry?

Physics
1 answer:
amm18124 years ago
4 0

Answer:

a) 0.0537 kg, 0.877 m

b) 609 m/s²

c) 4.35 kg

Explanation:

B = ρ(air).V(g)

Assuming g(m) is the "g" for Mars.

For a sphere, V = 4/3πR³.

Surface area of a sphere is A = 4πR²

Thus, the mass of the balloon is (4.5*10^-3 kg/m²) (4πR²)

See the attachment for the calculations

You might be interested in
In August 2011, the Juno spacecraft was launched from Earth with the mission of orbiting Jupiter in 2016. The closest distance b
Vikentia [17]

(a) 8927 mi/h

In order to calculate the average speed, we need to convert the time (t=5.0 y) into hours first. In 1 year, we have 365 days, each day consisting of 24 hours, so the time taken is:

t=(5.0 y)(365 d/y)(24 h/d)=43,800 h

The distance covered by the spacecraft is

d=391 mil. mi = 391\cdot 10^6 mi

Therefore, the average speed is just the ratio between the distance covered and the time taken:

v=\frac{d}{t}=\frac{391\cdot 10^6 mi}{43,800 h}=8,927 mi/h

(b) 35 minutes (2097 seconds)

The transmitted signals (which is a radio wave, which is an electromagnetic wave) travels back to the Earth at the speed of light:

c=3.0\cdot 10^8 m/s

Since 1 miles = 1609 metres, the distance covered  by the signal is

d=391\cdot 10^6 mi \cdot (1609 m/mi)=6.29\cdot 10^{11} m

So, the time taken by the signal will be

t=\frac{d}{v}=\frac{6.29\cdot 10^{11} m}{3.0\cdot 10^8 m/s}=2097 s

And since 1 minute = 60 sec, the time taken is

t=2097 s \cdot \frac{1}{60 s/min}\sim 35 min

7 0
3 years ago
Newton’s second law of motion says when a is applied to a it causes it to.
n200080 [17]

Answer:

When force is applied to an object it causes to to accelerate.

Explanation:

7 0
3 years ago
You must exert a force of 5N on a book to slide it across a table.If you do 2.5 J of work in the process, how far has the book m
I am Lyosha [343]

Answer:

0.5 m.

Explanation:

From the question given above, the following data were obtained:

Force (F) = 5 N

Work done (W) = 2.5 J

Distance (s) =?

Workdone is simply defined as the product of force (F) and distance (s) moved in the direction of the force. Mathematically, it is expressed as:

Work done (W) = Force (F) × Distance (s)

W = F × s

With the above formula, we can obtain the distance to which the book has moved as follow:

Force (F) = 5 N

Work done (W) = 2.5 J

Distance (s) =?

W = F × s

2.5 = 5 × s

Divide both side by 5

s = 2.5/5

s = 0.5 m

Therefore, the book moved 0.5 m when the force was applied.

3 0
4 years ago
What is the Celsius eguivalent of 212°F?<br> 32°C<br> 0°C<br> 100°C<br> 212°C
sweet-ann [11.9K]

Answer:

100°C

Explanation:

4 0
4 years ago
Read 2 more answers
The law of conservation of mass states that _______________________________.
xenn [34]
Energy cannot be created nor be destroyed
3 0
3 years ago
Other questions:
  • Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.
    5·2 answers
  • The term wavelength refers to which of the following?
    10·1 answer
  • In which situation is no work considered tone be done by a force?
    15·1 answer
  • According to string theory, six space-time dimensions cannot be measured except as quantum numbers of internal particle properti
    11·1 answer
  • Christian made some pancakes she's so 3/5 of them in the morning and 1/4 of the remainder in the afternoon is she had 300 pancak
    5·1 answer
  • True or false. A high gear ratio = more speed = more force.
    9·1 answer
  • HELP THIS IS TIMED PLEASE OMG
    5·1 answer
  • An object is most likely to sink in water if
    5·2 answers
  • How much power does the athlete produce if he has 28,056J of work over 45s?
    5·1 answer
  • An object is placed at 0 on a number line. It moves 3 units to the right, then 4 units to the left, and then 6 units to the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!