A space station is in a circular earth orbit of radius 6600 km. An approaching spacecraft executes a delta-v burn when its position vector relative to the space station is . Just before the burn the relative velocity of the spacecraft was . Calculate the total delta-v required for the spacecraft to rendezvous with the station in one-third period of the space station orbit.

Answers

Answer 1

The total delta-v required for the spacecraft to rendezvous with the station in one-third period of the space station orbit is 2.004 km/s.

To calculate the total delta-v required for the spacecraft to rendezvous with the station in one-third period of the space station orbit, we can use the following steps:

Calculate the period of the space station orbit.

The period (T) of a circular orbit is given by:

T = 2πr/v

where r is the radius of the orbit and v is the orbital velocity.

In this case, r = 6600 km and we are not given the orbital velocity of the space station. However, we know that the space station is in a circular orbit, so we can use the formula for the centripetal force:

F = mv²/r = GMm/r²

where m is the mass of the space station, M is the mass of the Earth, G is the gravitational constant, and v is the orbital velocity.

Solving for v, we get:

v = sqrt(GM/r)

Substituting the values, we get:

v = sqrt(6.6743 x [tex]10^{-11} m^{3}[/tex]/kg/[tex]s^{2}[/tex] x 5.9722 x [tex]10^{24}[/tex]kg / 6.6 x[tex]10^{6}[/tex] m) = 7665 m/s

Converting to km/s, we get:

v = 7.665 km/s

Using this value of v in the formula for the period, we get:

T = 2πr/v = 2π x 6600 km / 7.665 km/s = 5.614 hours

Calculate the one-third period of the space station orbit.

One-third of the period is:

T/3 = 5.614 hours / 3 = 1.871 hours

Calculate the distance traveled by the spacecraft in one-third period.

The distance traveled by the spacecraft in one-third period is:

d = vt = 4.066 km/s x 1.871 hours x 3600 s/hour = 28,854 km

Calculate the delta-v required for the spacecraft to rendezvous with the station.

The spacecraft needs to reduce its relative velocity by the same amount as the distance traveled in one-third period. The relative velocity just before the burn was 5.068 km/s. So the delta-v required is:

delta-v = 2 x (4.066 km/s - 5.068 km/s) = -2.004 km/s

The negative sign indicates that the spacecraft needs to reduce its velocity by 2.004 km/s to rendezvous with the space station.

Therefore, the total delta-v required for the spacecraft to rendezvous with the station in one-third period of the space station orbit is 2.004 km/s.

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Related Questions

A 9Ω resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.​

Answers

Answer:

the ans i 1 ohm

Explanation:

if i cut a resistor of 9 ohm into 3 equal parts then each resistor will have a resistance of 3 ohm and if they are in parallel combination the net resistance will be R

so 1/R=1/R1+1/R2+1/R3

     1/R=1/3+1/3+1/3

      R=1

Is there a difference in how a black shirt or a white shirt affects our exposure to us radiation?

Answers

There is a difference of exposure to radiation to a black shirt and a white shirt but I think the difference is so insignificant that it’s not even considered different. The effects of radiation wearing a dark colored shirt on a sunny day to humans is probably not significantly different enough to warrant not wearing your favorite band tee out of fear you will get radiation poisoning.
But there is definitely a difference in heat. If you insist on wearing a black shirt and you want to avoid having a heat stroke then you should probably consider bringing water, maybe an extra shirt and sun screen if you have to be outside for more than 10-15 minutes.
Under the sun, the black shirt absorbs all wavelengths (more light). A white shirt reflects the visible light that hits it.
heat follows the same laws of conservation of light energy. This means light energy and heat cannot be created or destroyed. The light and heat has to go somewhere.
The light doesn’t cause the heat but they follow the same rules so instead of visually seeing the lack of light, you feel the heat energy that is being absorbed by your shirt.
you are exposed to the same amount of radiation wearing a black shirt as you are the white shirt. The difference is the “color” (because some people don’t consider black and white a color) and how light reacts to it.

I hope I was able to help!! This was a great question :)!!

One scientist suggests that out of the different possible locations, they should design the model and build it at the equator recieves the most intense solar radiation. Which if the following is the most appropriate critique for the scientist's suggestion?
A. Earth's equator is not hot enough to simulate the Martian daytime.
B. The high mountain top gets the same amount of radiation as the equator, but with atmospheric conditions that are more similar to Mars.
C. The equator has deserts that are actually too dry compared to Mars.
D. The Antarctica has the same nighttime temperature as Mars, but with a similar amount of ice compared to the equator.​

Answers

Answer:

B.

I think.

Explanation:

Mars doesn't have that much of an atmosphere!

Have a great day!

what is the wavelength of these waves???

Answers

Answer:

The wavelength is 6 meters.

Explanation:

Wave Properties
With the help of their science teacher, Kaden and Mariam made a machine that can move a slinky back and forth. This motion
creates a fast-moving wave in the slinky. The image below is a model of a wave that is generated by the machine. The frequency of
the wave modeled in the image is 4 Hz.
3 m
What is the speed of the wave?
OA. 24 m/s
ОВ.
1.25 m/s
OC.
0.75 m/s
OD
12 m/s

Answers

the wave has a speed of 12 m/s.

Explanation:

Speed is directly proportional to wavelength and frequency. The wave has a frequency of 4 Hz. One Hertz (Hz) is equal to one cycle per second. The image shows that the wave has a wavelength of 3 m. Using the given speed and frequency, the wavelength can be calculated as shown below.

speed= wave length x frequency

speed = 3m x 4Hz

speed = 12m m/6

How does an atom change if all of its electrons are removed?

Answers

Answer: If all the electrons of an atom are removed, it will change to become a positively charged ion called a cation.

Explanation:

Answer:

The atom becomes positively charged.

Explanation:

pls help i’ll give brainliest if you give a correct answer!!

Answers

Answer:

South ....................

Answer:

South ;)

Explanation:

I just did it .

PlEaSe HeLp MeE
What is the gpe of a rock weighing 100N that is sitting on top pf a hill 300 m high?

Answers

Answer:

Gpe = 30000J

Explanation:

Given the following data;

Weight = 100N

Height = 300m

To find the gravitational potential energy (gpe);

Gravitational potential energy can be defined as an energy possessed by an object or body due to its position above the earth surface.

Mathematically, potential energy is given by the formula;

[tex] G.P.E = mgh[/tex]

Where,

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Gpe = mgh

But weight = mg = 100N

Substituting into the equation, we have:

Gpe = 100*300

Gpe = 30000J

Which of the following would decrease the overall force felt between two charges the most?

Question 9 options:
A. Doubling the charge on the first object
B. Doubling the charge on the second object
C. Doubling the distance between the charges

If one charge is tripled and the other is cut in half, what happens to electric force?

Question 10 options:
A. It is decreased by 10 times the original force
B. It is increased by 1.5 times the original force
C. It is increased by 10 times the original force
D. It is decreased by 1.5 times the original force

Answers

Doubling the distance between the charges would decrease the overall force felt between two charges the most. The force felt between two charges is inversely proportional to the square of the distance.

What is Columb's law?

The force of attraction between two charges, according to Coulomb's law, is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

[tex]\rm F= \frac{Kq_1q_2}{r^2}[/tex]

The force felt between two charges is inversely proportional to the square of the distance.

Doubling the distance between the charges. The force felt between two charges is decreased 4 times the previous force.

Doubling the distance between the charges would decrease the overall force felt between two charges, the most.

Hence, option C is correct.

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What causes a liquid to freeze? A. When particles speed up and get closer together. B. When particles stop moving. C. When particles slow down and get closer together. D. When particles speed up and get farther apart.​

Answers

Answer:The answer is C

Explanation:

friction is a:
A.balance force
B.unbalance force
C.type of motion
D.type of direction

Answers

Answer:

c

Explanation:

becaz its motion and without motion u cant get friction

Answer:

A

Explanation:

hope this helps

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An orbiting satellite experiences no force due to the Earth's
gravity.

Answers

Answer:

false

Explanation:

The statement "An orbiting satellite experiences no force due to the Earth's gravity." is a False statement. This is further explained below.

What is Gravity?

Generally, Gravity is simply defined as the force that pulls items toward the center of a planet or other entity.

In conclusion, an orbiting satellite experiences force due to the Earth's gravity.

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What is potential energy?

Answers

the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors

A 5000ton frieight is moving at a speed of 10mph, next to it a 3250lb Ferrari at a speed of 250mph. Both hit the break, but who stops first?

Answers

Answer:

Ferrari would stop first.

Explanation:

The momentum of a moving body is given as:

momentum, P = mass of the body x its velocity

i. For the Freight,

mass = 5000 tons = 4535924 kg

speed = 10 mph  = 4.4704 m/s

P = mv

  = 4535924 x 4.4704

  = 20.28 x [tex]10^{6}[/tex]

P = 20.28 x [tex]10^{6}[/tex] kgm/s

ii. For the Ferrari,

mass = 3250 lb = 1474.175 kg

speed = 250 mph = 111.76 m/s

P = mv

   = 1474.175 x 111.76

   = 16.48 x [tex]10^{4}[/tex]

P = 16.48 x [tex]10^{4}[/tex] kgm/s

Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.

A female skater with mass 45 kg and velocity 7 m/s leaps into her partner's arms. If her partner is has a mass of 60 kg and a forward velocity of 1.5 m/s, how fast are the two of them going after he catches her?

Please provide an explanation, random answers will be reported thank you.​

Answers

Explanation:

this is the answer for your question further if you have any doubts

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Usain Bolt runs at 200 meters in 20.0 seconds. How fast does he run? speed = distance / time

Answers

Answer:

22.369363 mi/h

Explanation:

Average Speed Calculation - suppose we want to calculate Usain Bolt's average speed during his world record winning 100 m sprint race in Berlin on August 16, 2009. What do we know?

We want to calculate Bolt's average speed

The distance was, of course, 100 meters

Bolt ran the distance in 9.58 seconds.

Bolt ran 11.42 yards per second during the race. Setting meters per second, you get 10.44 mp/s; miles per hour - 23.35 mph; kilometers per hour - 37.58 km/h; etc.

Travel Time Calculation - Suppose, you drove 21 miles with an average speed of 45 miles per hour. How long did you drive?

You traveled 28 minutes.

Distance Calculation - Let's calculate, how many miles you can travel, driving 2 hours and 30 minutes with an average speed of 55 miles per hour?

As you can see, the answer is 137.5 miles or 221.28 kilometers or 119.48 nautical miles, etc.

Assume, V - stands for average speed (velocity), T - stands for traveling time, and D - stands for traveled distance.

Average speed can be calculated by using the formula: V = D/T

The traveled distance can be calculated as D = V*T

Traveling time can be calculated using: T = D/V

Using the formulas remember about the units. For example, if the distance is given in meters and the time is given in seconds, the calculated average speed is given in meters per second. To convert it to other units of measurement, you can use our speed converter. If the distance is given in yards and speed is given in miles per hour, to get time in hours, you HAVE TO convert yards to miles or miles per hour to yards per hour first.

what is the unit scientist use to measure energy?

Answers

answer:

scientists use a measurement called BTU to measure energy

2
Type the correct answer in the box
A car has a mass of 1,000 kilograms. The weight of the car is
nenors. Use g*98 Nike for granty
Reset
Ben

Answers

Answer:

Weight = 9800Newton

Explanation:

Given the following data;

Mass of car = 1000kg

Acceleration due to gravity = 9.8m/s²

To find the weight of the car;

Weight is given by the formula;

Weight = mass * acceleration due to gravity

Substituting into the equation, we have;

Weight = 1000*9.8

Weight = 9800Newton

example of unlile parallel forces​

Answers

Answer:

Explanation:

In mechanical engineering, a parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, with the counter force in the middle. An example of this is a see saw.

Forces which are parallel and acting a similar way are called like parallel forces. Like Parallel forces are the forces that are parallel to each other and have the same direction. Unlike parallel forces are the forces that parallel yet have directions inverse to each other.

when the parallel force system is a situation in which two forces of equal magnitude act in the same direction within the same plane, Two forces that are parallel can either be in the same direction or in opposite directions.

(hope this helps can i plz have brainlist :D hehe)

Identifying Applications of Electromagnetic Waves
Quick
Check
Match the electromagnetic wave with its application.
ultraviolet waves
disruption of DNA production in bacteria
and viruses
gamma rays
destruction of cancer cells
X-rays
diagnosis of illnesses through medical
imaging

Answers

Answer:

gamma ray-destruction of cancer cells

Ultraviolet wave-disruption of DNA

X-ray-diagnosis of illnesses through medical

Explanation: on edg

Answer:

Here

Explanation:

File Is Attached To The Question

Answers

1. Graph A matches description 2 because the line is straight and travelling upwards at a constant speed (positive, constant slope).
2. Graph B matches description 4 because the line is flipped, travelling the opposite direction at a constant speed (represents the car turning around and driving the other way compared to graph A)
3. Graph C matches description 1 because the line is horizontal and is not moving (when the line is horizontal and remains constant, the object is not accelerating, it is stationary)
4. Graph D matches description 3 because of the way the line moves on the graph- accelerates and then starts to flow more horizontally, not accelerating as quickly anymore and remaining at a lower speed.

which two criteria are least important for engineers to consider when developing a process to produce an important chemical

Answers

Answer:

Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate

Explanation:

Answer:

A. the process needs to produce significant amounts of ammonia

C. the process needs to be able to be performed safely

Explanation:

a p e x

If Steve races on the highway going south for 2430 meters in 40 seconds what is his velocity?

Answers

Answer:  60.75 m/s

Explanation:

2430 m / 40s = 60.75 m/s

4. A group of students made a rocket and launched it vertically upwards with velocity
of 27ms^-1. What is the total distance travelled by the
rocket?

[Assume g=10ms^2]​

Answers

Answer:

Approximately [tex]72.9\; \rm m[/tex], assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.

Explanation:

Initial velocity of this rocket: [tex]u = 27\; \rm m\cdot s^{-1}[/tex].

When the rocket is at its maximum height, the velocity of the rocket would be equal to [tex]0[/tex]. That is: [tex]v = 0\; \rm m \cdot s^{-1}[/tex].  

The acceleration of the rocket (because of gravity) is constantly downwards, with a value of [tex]a = -g = -10\; \rm m \cdot s^{-2}[/tex].

Let [tex]x[/tex] denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate [tex]x \![/tex] to [tex]u[/tex], [tex]v[/tex], and [tex]a[/tex]:

[tex]\displaystyle x = \frac{v^2 - u^2}{2\, a}[/tex].

Apply this equation to find the value of [tex]x[/tex]:

[tex]\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{\left(0\; \rm m\cdot s^{-1}\right)^{2} - \left(27\; \rm m \cdot s^{-1}\right)^{2}}{2 \times 10\; \rm m \cdot s^{-2}} = 36.45\; \rm m\end{aligned}[/tex].

In other words, the maximum height that this rocket attained would be [tex]36.45\; \rm m[/tex].

Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of [tex]2\times 36.45\; \rm m = 72.9\; \rm m[/tex].

Please help with this !!!!!!

Answers

Answer:

answer is d from my guess

An element carries a_____charge

Answers

Answer:

The charge of an element is equal to the number of protons minus the number of electrons. The number of protons is equal to the atomic number of the element given in the periodic table. The number of electrons is equal to the atomic number minus the charge of the atom.

Explanation:

Answer:

hydrogen sometimes has a charge of zero or (less commonly) -1. Although noble gas atoms almost always carry a charge of zero, these elements do form compounds, which means they can gain or lose electrons and carry a charge.

Explanation:

An object spins with an angular momentum of 8.9 kg⋅m2 /s. A torque on the object causes it to slow to a stop in 5.2 s. What was the angular impulse on the object? What was the average torque on it? Analyze and Sketch the Problem

List Knowns and Unknowns Knowns Unknowns Li = ____________________ Lf = ________________ _____________ = ? ∆t = _________________ _____________ = ? SOLVE FOR THE UNKNOWNS a. Determine the angular impulse from the change in angular momentum b. Apply the impulse-momentum theorem to determine the Torque EVALUATE THE ANSWER Is the unit of torque correct? ______________________________________________________________ Is the magnitude of the torque realistic? _____________________________________________________

Answers

Answer:

Explanation:

Li = 8.9 kg m² /s , Lf = 0

Time = Δt = 5.2 s

Angular impulse = change in angular momentum = Li - Lf

= 8.9 - 0 = 8.9 kg.m²/s .

Average torque = angular impulse / time

= 8.9 / 5.2 = 1.711  kg m² / s²

Li = 8.9 kg m² /s , Lf = 0

Δt = 5.2 s

unit of torque = force x distance = mass x acceleration x distance

= kg . m /s² x m

= kg m² / s²

in root pass welding, that electrode we are going to use?​

Answers

Answer:

The root pass is made with a 5/32” (4.0mm) diameter electrode. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.

Explanation:

In root pass welding, that electrode we are going to use cellulosic electrode (E-XX10).

What is root pass welding?

Short arc welding is commonly used for root pass welding to prevent blow through and overheating at the weld joint. Because there is less drooping and suck back, short arc welding is also commonly used on root pass joints.

The first pass in any welding process that combines two pieces or members into one structure is referred to as the root pass.

Subsequent passes raise the weld depth to the desired thickness, resulting in the required strength. The first pass usually serves as the foundation for subsequent filler passes.

A 5/32" (4.0mm) diameter electrode is used for the root pass. A cellulosic electrode (E-XX10) is being used. The root pass is welded with reverse (DC+) polarity.

Thus, cellulosic electrode (E-XX10) for this.

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What is one enThe law of conservation of energy states that energy can neither be created nor destroyed. What does “conservation” mean in this law?ergy transformation that is taking place in the photo?

Answers

Answer:

The preservation of a physical quantity during transformations or reactions.

Explanation:

a car takes off from rest and covers a distance of 80m on a straight road in 10s. Calculate the magnitude of its acceleration​

Answers

Answer:

The magnitude of the acceleration is 1.6 m/s².

Explanation:

We can find the magnitude of the acceleration by using the following equation:

[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

[tex] x_{f}[/tex]: is the final position = 80 m

[tex] x_{0[/tex]: is the initial position = 0

[tex] v_{0}[/tex]: is the initial speed = 0 (it starts from rest)

a: is the acceleration =?

t: is the time = 10 s

Hence, the acceleration is:

[tex] a = \frac{2x_{f}}{t^{2}} = \frac{2*80 m}{(10 s)^{2}} = 1.6 m/s^{2} [/tex]

Therefore, the magnitude of the acceleration is 1.6 m/s².

I hope it helps you!          

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Compare the work of Hans-Georg Gadamer and Rudolf Steiner. In your discussion you should indicate how their views could influence your classroom practice. Consult chapter 5 of your prescribed textbook For an odd function f(x) where integral^-5_0 f(x) dx=3 determine the average value of f on the interval [-5,5]. 0 3/10 -3/10 15/2 -3/5 give a recursive definition for the set of all binary strings (a string made up of 0s and 1s) that have the same number of 0s and 1s Which of these will not reduce stomach acid?magnesium hydroxidealuminum hydroxideHBr(aq)sodium hydroxide An online video game has five servers. For each server, the probability of it working on a given day is 0. 9. The game developers decided that if two or fewer servers are working, the game will shut down, otherwise, it will continue. It is reasonable to assume that the servers are independent of each other. Given that the game is not shut down, what is the probability that all 5 servers are working?In the answer sheet it says the probability is 1/(n-1) * (x(i)-x(bar)), but I don't understand that and it doesn't actually give the answer, just this formula. So what is the answer and how do I come up with it? suppose the production function is given by q = 3k 4l. what is the marginal product of capital when 5 units of capital and 10 units of labor are employed? an air-core solenoid has n = 765 turns, d = 0.19 m length, and cross sectional area a = 0.074 m2. the current flowing through the solenoid is i = 0.172 a. An atom of 124 Sn has an experimentally determined nuclear mass of 123.9053 amu. Calculate the mass defect, Am, in atomic mass units (amu). Am = problem 5. construct a particular solution to the ordinary differential equation yy= sin2(t). using convolutions! compute the convolutions explicitly! no credit is different method is used! 1. In this problem, we will determine the functions from R2 to R that are linear. Let f:R? R (a) Suppose f(0) = a. Use the fact that f respects scalar multiplication to deter- mine the value of f(()). (b) Suppose f(0) = b. Use the fact that f respects scalar multiplication to deter- mine the value of f()). (c) Suppose both f((.)) = a and f(0) = b. Use the fact that f respects vector addition to determine the value of f(()). (d) Suppose both f(())) = a and f(0) = b. Use the fact that f respects scalar multiplication and vector addition to determine the value of f(()). Hint: () = True/False: an r-c high-pass filter can be constructed from an r-c low-pass filter by simply reversing the position of the capacitor and resistor. Prove: If one interior angle of a triangle is right or obtuse, then both the other interior angles are acute. Can only use Neutral Geometry, nothing from Euclidian Geometry. In a fair coin experiment we define the process X(t) as follows: X(t) = sin(pi t) if head shows, and X(t) = 2 t if tail shows. Find E[X(t)| which is the expectation of the random variable at time t. Find and sketch F(X,t) which is the CDF of the random variable at time t for the values t = 0.25, t = 0.5, and t = 1. use the definition of the laplace transform to find l{f(t)}. (enter your answer in terms of s.) f(t) = t, 0 t < 1 2 t, t 1 raised red blotches on the skin after tourniquet placement may be a sign of what why did emperor alexius 1 close the gates of constantinople to the vast majority of european crusaders according to erikson, committing oneself to meaningful social roles would be most indicative of the achievement ofA)autonomy.B)competence.C)initiative What is the answer in 2184 how much do the estimated odds of metastasis change if the tumor increases in size by 1 cm? in other words what is the odds ratio for size? all of the following factors contributed to american economic growth between 1820 and 1860, except: