Answer:
a) 12614.4 m^3
b) 28.8 m
Explanation:
The complete question is
Four astronauts are in a spherical space station. (a) If, as is typical, each of them breathes about 500 cm^3 of air with each breath, approximately what volume of air (in cubic meters) do these astronauts breathe in a year? (b) What would the diameter (in meters) of the space station have to be to contain all this air?
The average breathing rate is 12 breaths per minute
there are 60 minutes x 24 hours x 365 days in a year = 525600 minutes in a year
if an average human takes 12 breath per minute, then in a year an average human take 12 x 525600 = 6307200 breath
For the four astronauts, the amount of breath = 4 x 6307200 = 25228800 breath in total.
The volume of air per breath = 500 cm^3
1 cm^3 = 10^-6 m^3
500 cm^3 = [tex]x[/tex] m^3
[tex]x[/tex] = 500 x 10^-6 = 5 x 10^-4 m^3
Therefore in a year, the volume of these astronauts breath in a year = 5 x 10^-4 x 25228800 = 12614.4 m^3
b) If the space station is spherical, the volume will be given as = [tex]\frac{4}{3} \pi r^3[/tex]
where r is the radius of the space station
This volume of the space station must be able to contain all the volume of breath produced by the astronauts which is = 12614.4 m^3
Equating, we have
12614.4 = [tex]\frac{4}{3} \pi r^3[/tex]
12614.4 = [tex]\frac{4}{3}*3.142*r^3[/tex]
12614.4 = 4.1893[tex]r^{3}[/tex]
[tex]r^{3}[/tex] = 12614.4/4.1893 = 3011.1
r = [tex]\sqrt[3]{3011.1}[/tex] = 14.4 m
diameter of the space station = 14.4 m x 2 = 28.8 m
A man weighs 90 N on the surface of earth of radius R at what height above the surface of earth is weight will be 40 N.
Answer:
3/2 R
Explanation:
Let the Mass of man be m, Mass of earth be M.
By Newtons, law of gravitation,
F = GMm/R^2, Where G is gravitational constant
90 = GMm/R^2
When man weighs 40N,
GMm/(New R)^2 = 40
= 4/9 (90)
GMm/(New R)^2 = 4/9 (GMm/R^2)
(New R)^2 = 9/4 R^2
New R = 3/2 R
Therefore, height is 3/2 R
what is eletro magnet
a. Opposite charges attract/repel each other, which means a Positive charge from a
proton/electron will attract/repel negative charge from an electron.
Answer:
Opposite charges attract each other, which means that a positive charge from a proton will attract negative charge from an electron.
Explanation:
Opposite charges attract because because their forced act in the same direction, which pulls them together. Protons are always positively charged subatomic particles and electrons are negatively charged subatomic particles. This attraction between the protons and electrons in atoms is what enables them to stay together and bond with other atoms.
Hope this helped!
Answer:
?
Explanation:
A boat sails along the shore. To an observer, the boat appears to move at a speed of 11 m/s, and a man on the boat walking forward appears to have a speed of 12.4 m/s. How long does it take the man to move 6 m relative to the boat? A. 0.48 s B. 4.29 s C. 0.55 s D. 1.5 s
Answer:
B. 4.29s
Explanation:
If the man appears to move 12.4m/s when the boat appears to move 11m/s, it means that the man moves 1.4m on the boat (12.4-11=1.4). So if the man moves 1.4m per second then it will take him 6/1.4=4.29s to move 6 m relative to the boat.
Hope this helped!
Which are true of meiosis but not mitosis? Select three options. A.It generates genetically different cells. B.It generates haploid cells. C.It involves prophase, metaphase, anaphase, and telophase. D.It involves two rounds of nuclear division. E.It begins with a diploid cell.
Answer:
(A) (b) (D)
Explanation:
Answer:
A B D
Explanation:
If the toy helicopter weighs 115 N and is hovering motionless in the air, which of these options MOST accurately describes the force that the helicopter's propeller must exert?
Answer:
If the helicopter is not moving, then it is not being accelerated.
By second Newton's law we have that:
F = m*a
Force equals mass times acceleration.
Then if we do not have acceleration, we have:
F = m*a = m*0 = 0.
Then the total force must be zero.
So if the gravitational force (pulling down) is 115N, then the force of the propeller must be such that:
Total force = F - 115N = 0
F = 115N
The force of the propeller must be also of 115N, but in the opposite direction.
a force of 5 N extends a spring of natural length 0.5m by 0.01, what will be the length of the spring when the applied force is 20 N
Answer:
L_new =L+x^2 = L_new = 0.54_m.
Explanation:
Given data:
Force in the first case,
F_1 = 5N
Force in the second case,
F_2 = 20 N
Natural length of spring,
L= 0.5
Extension in the first case,
x_1 = 0.01m
Let the force constant of the spring be k.
Thus,
F_1=kx_1
5 = k × 0.01
⇒ k = 500 N/m.
The extension in the spring in the second case can be given as,
F_2=kx_2
20 = 500x_2
⇒ x_2 = 0.04 m.
Thus, the effective length of the spring would be,
L_new =L+x^2
L_new = 0.5+0.04
L_new = 0.54_m.
Potential energy is a type of energy. Which of the following bricks has the most potential energy? a two-pound brick that is three feet off the ground a two-pound brick that is five feet off the ground a four-pound brick that is three feet off the ground a four-pound brick that is five feet off the ground
Answer:
Hey there!
Potential Energy = mgh, (mass x gravitational acceleration x height)
Given that the gravitational acceleration is constant, we just have Potential Energy = mh
a. 2(3)=6
b. 2(5)=10
c. 4(3)=12
d. 4(5)=20
The four-pound brick that is five feet off the ground is the brick with the most potential energy.
Let me know if this helps :)
The cells in your nose that detect smell are a type of what
Answer: chemoreceptor apex!!!!!!!
Explanation:
Scientists are told to doubt everything and not believe anything that is not provable. Is this a strength or weakness of science?
Please answer asappp :))
As a shuttle bus comes to a normal stop, it slows from 9.00 m/s to 0.00 m/s in 5.00 s find the acceleration of the bus.
Answer:
-1.8 m/s^2
Explanation:
vf-vi/t
0-9=-9
-9/5 = -1.8
-1.8 m/s^2
The central vacuole of a plant cell is damaged.
What function is most affected by the damage?
Choose 1 answer:
(Choice A)
A
Protein synthesis
(Choice B)
B
Storage of genetic information
(Choice C)
C
Synthesis of sugar from light
(Choice D)
D
Storage of water
Answer:
D
Storage of water
Explanation:
the vacuole stores water, if it is damaged then it can store anything.
A plant cell's central vacuole has been harmed. The function largely impacted by the deterioration is water storage. Option D is correct.
What is a plant cell?The smallest unit of all plants in the cell. Like animal cells, plant cells are eukaryotic, which means they have an organelle- and membrane-bound nucleus.
This turgor pressure maintains the cell's rigidity and gives plant structures like leaves their distinctive shapes.
When a plant goes for an extended period of time without water, the central vacuoles lose water, the cells deform, and the entire leaf wilts.
The central vacuole of a plant cell is damaged. Storage of water is the function that is most affected by the damage.
Hence, option D is correct.
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If a truck travels 100 miles in 2 hours, what is its speed? (Hint: Do not forget to write the unit).
Submit
The truck is going at a speed of 50 MPH.
what is the spherical mirror
Explanation:
A mirror with a surface that is either concave or convex and forms a portion of a true sphere.
Answer:
Spherical Mirror:Definition:
A mirror whose polished, reflecting surface is a part of a hollow sphere of either glass or plastic is called a spherical mirror.Types:
There are 2 types.Concave MirrorConvex MirrorExplanation:
In a spherical mirror, one of the two curved surfaces is coated with a thin layer of silver followed by the coating of lead oxide. One side of the mirror is opaque while the other side is highly reflecting which acts as a mirror.Noah drops a rock with a density of 1.73 g/cm cubes into a pond. Will the rock float or sink? Explain your answer.
Answer:
The rock will sink.
Explanation:
The density of water is about 1 g/cm cubed, the rock being more dense will sink in water.
Answer:
Here is the answer.
Explanation:
Pierre cycles at 4 miles per hour and travels a distance of 13 miles. How long
does his journey take?
Answer:
His journey took him 3 hours 15 minutes.
Explanation: 4 miles every hour. So 1 hr is equal to 4 miles, 2 hrs is equal to 8 miles, 3 hrs is equal to 12 miles. Now he just has 1 miles left, and since it takes him a hour to cycle 4 miles, 60 divided by 4 is 15. Therefore, 1 mile is equal to 15 minutes.
Time = (distance) / (speed)
Time = (13 mi) / (4 mi/hr)
Time = 3.25 hr or 3hr 15min .
"Rate" is related to: Which is the correct answer A,B,C, or D A.volume B.percentage C.time D.distance
rate is primarily compared with time but can also be distance. Prime answer is C
Answer:
B. percentage
Explanation:
Rate, in the dictionary, means probability. When you use a percentage, you calculate either the amount of a certain thing out of the whole group, or the PROBABILITY of something.
Need helppp number 5
Answer:
1768 meters
Explanation:
Distance = speed x time.
(340 m/s) x (5.2 s) = 1768 m
1) Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be. Independent Variable: Dependent Variable:
Students watched a cartoon either alone or with others and then rated how funny they found the cartoon to be.
Independent Variable: student alone or with others
Dependent Variable: how funny student thought the cartoon was
Answer:
Independent Variable: Watching cartoon alone or with others
Dependent Variable: how funny they found the cartoon to be
Explanation:
A dependent variable is the variable being tested. The change in the value of dependent variable depends on the independent variable.
An independent variable is used to test the effects on dependent variable and its does not depend on any variable.
In the above example the dependent variable is how funny the cartoon was. This is being tested and it is tested by independent variable i.e. Students watching cartoon either alone or with others. So the cartoon is funny or not depends on watching cartoon alone or with friends.
How do you close a ripped sandwhich bag?
Which of the following statements helps support the endosymbiotic theory?
Choose 1 answer:
(Choice A) A The Golgi body is a membrane-bound organelle within eukaryotes that was once a free-living prokaryote.
(Choice B) B If isolated from a eukaryotic cell, mitochondria can survive and reproduce on their own.
(Choice C) C Both mitochondria and chloroplasts have their own DNA that is different from the nuclear DNA of the larger host cell.
(Choice D) D The lysosome is a membrane-bound organelle within eukaryotes that was once a free-living prokaryote.
Answer:
C
Explanation:
Both mitochondria and chloroplasts have their own DNA that is different from the nuclear DNA of the larger host cell.
Mitochondrial DNA (mtDNA) and chloroplast DNA (cpDNA) actually more closely resemble the structure of prokaryotic DNA (circular) as compared to the structure of eukaryotic DNA (linear).
The endosymbiotic theory proposes that mitochondria and chloroplast were once independent prokaryotic organisms that survived endocytosis by an early eukaryotic cell.
The statement "both mitochondria and chloroplasts have their own DNA that is different from the nuclear DNA of the larger host cell" helps support the endosymbiotic theory (Option C).The lines of evidence that support the endosymbiotic theory include:
Both mitochondria and chloroplasts have their own circular DNA and divide by binary fission.Both mitochondria and chloroplasts have their own bacteria-like ribosomes (70 S).Both mitochondria and chloroplasts have a similar size as prokaryotic cells.In conclusion, the statement "both mitochondria and chloroplasts have their own DNA that is different from the nuclear DNA of the larger host cell" helps support the endosymbiotic theory (Option C).
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A forensic investigator is collecting hair samples from the victims and possible suspects of a violent attack. How many control
samples of full length scalp hairs and how many full length pubic hairs are collected for the control samples?
A)
25/10
B)
50/24
50/50
D)
100/50
Answer: B. 50/24
Explanation: just took the usatestprep
Sobre un cuerpo de masa 45 kg, se aplica una fuerza (F), la cual produce una aceleración cuya magnitud es 5 m -s2
Answer:
225kgm/s² or 225N
Explanation:
La fórmula de Fuerza = Masa × Aceleración
Masa = 45 kg
Aceleración = 5 m / s²
Fuerza = 45 kg × 5 m / s²
= 225 kgm / s² o 225N
Por lo tanto, la Fuerza que actúa sobre = 225 kgm / s² o 225N
Does a free falling object fall 2 meters in twice the time as it falls 1 meter? Why? a. Yes, it takes twice as long to fall twice as far. b. Yes, it takes longer to fall farther. c. No, since it is speeding up as it falls it will cover the same distance in a shorter time. d. No, it takes the same time since it does not accelerate.
My answer to the question is option B.
A pesticide kills insects by disabling the ribosomes in their cells.
Which of the following functions would be most immediately inhibited in the insects' cells?
Choose 1 answer:
(Choice A) A Protein synthesis
(Choice B) B DNA replication
(Choice C) C Photosynthesis
(Choice D) D Cell division
Answer:
protein synthesis
Explanation:
A pesticide kills insects by disabling the ribosomes in their cells. The function that would be most immediately in the insects' cells is protein synthesis. The correct option is A.
What are pesticides?Pesticides are the chemicals that are used to kill insects and other microbes that infect the crops and other things. Pesticides are very harmful for health of other animals and humans. They also cause disabilities in birds which eat the insects killed by pesticides.
Protein synthesis is a process of synthesizing protein in the cell. This process done by cell organelles and DNA and RNA. Pesticides degenerate the process of protein synthesis in insects, they eventually die due to no working of cell.
Thus, the correct option is A Protein synthesis.
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Tony completed a 720 km journey with an average speed of 90 km for the first 285 km he travel about an average speed of 95 km what was the average speed for the remaining journey
Answer:
87 km/h
Explanation:
720/90=8 8 Hours
285/95=3 3 hours
720-285=435 436 km left
8-3=5 5 hours left
435/5=87
87 km/H
What is the scientific method in physics ?
grade 9
Bronchitis is a condition that’s characterized by coughing and the secretion of mucus. A person with bronchitis has inflamed airways, which makes it hard to breathe. Where does a bronchitis infection start?
Answer:the throat
Explanation:
Answer:
zszzzzzz
Explanation:
If our frame of reference was the sun would the earth be moving?
Answer:
yes, thats how it becomes morning and night
u get it
Explanation:
a parking lot is going to be 60m wide and 240m long which dimensions could be used please please help
Answer: The area of the parking lot is 14,400 meters squared.
Explanation:
We have the dimensions of the parking lot.
60m by 240m
The units used here are meters.
Now, if we want to know the area of the parking lot is equal to the product between the length and the width:
A = 60m*240m = 14,400 m^2
The area of the parking lot is 14,400 meters squared.
Answer:
A = 20x80
Explanation: DID IT ON APEX