A space vehicle is coasting at a constant velocity of 22.4 m/s in the y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.206 m/s2 in the x direction. After 40.5 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the y direction.

Answers

Answer 1

Answer:

a. 23.9 m/s b. 69.58°

Explanation:

a. Since the space vehicle is moving at a constant velocity of 22.4 m/s in the y direction relative to the space station, its initial vertical velocity v = 22.4 m/s.

Also, since the space vehicle moves in the y direction, its initial horizontal velocity u = 0 m/s.

Since its acceleration a = 0.206 m/s² for time, t = 40.5 s, we find the final horizontal velocity u' from u' = u + at.

Substituting the values of the variables into the equation, we have

u' = u + at

u' = 0 m/s  + 0.206 m/s² × 40.5 s

= 8.343 m/s

≅ 8.34 m/s

The resultant velocity relative to the space station V = √(v² + u'²)

= √[(22.4m/s)² + (8.34 m/s)²]

= √[501.76 m²/s² + (69.56 m²/s²]

= √[571.32 m²/s²]

= 23.9 m/s

b. The direction of the vehicle's velocity relative to the space station is thus θ = tan⁻¹(v/u')

= tan⁻¹(22.4 m/s/8.34 m/s)

= tan⁻¹(2.6959)

= 69.58°


Related Questions

What is the density of a piece of metal with a mass of 48g and a volume of 6 cm3

Answers

Answer:

A mineral has a volume of 6 mL and a mass of 12g.

Explanation:

Was this right?

While the boys were playing baseball, one of the boys decides to kick his soccer ball high into the air. As the ball goes upward, which type of energy is increasing?
A.) Kinetic Energy
B.) Thermal Energy
C.) Potential Energy
D.) Mechanical Energy​

Answers

A.) Kinetic energy is the answer

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
Fitness Log

Name each of the five steps in the PRICE treatment. (Site 1)

Answers

Answer:

Protection – Protect the wounded area with a support or something similar.

Rest – Do not continue to exercise while your wound is healing. It may take a few weeks or months to recover. You may need crutches or a sling.

Ice – Wrap a bag of ice or a bag of frozen peas in a towel and apply it to the wounded area for 15–20 minutes every two to three hours.

Compression – Apply elastic compression bandages to the wounded area during the day to reduce swelling.

Elevation – Make sure the injured body part is elevated above the height of your heart as much as possible to help reduce swelling.

Explanation:

Just did it.

Answer:

The five-step process for treating a muscle or joint injury such as an ankle sprain is called "P.R.I.C.E." which is short for Protection, Rest, Ice, Compression, and Elevation).

It can be used even by someone without first-aid training, and should be used immediately when an injury occurs – the earlier, the better – while further medical attention is being sought.

If the athlete experiences too much pain during the process, stop immediately.

"P" is for Protection

Protect the injured person and the area being treated but also protect yourself. If the injury occurs on the sports field, stop the game.

Protect the area being treated with a splint if possible.

If the athlete can move, carefully move them to a safer area using a stretcher or a crutch, but if there is any doubt, do not move the injured athlete.

"R" is for Rest

When a child is injured, the body responds in an effort to defend, localize, protect, and clean up the injured area, a response called inflammation. At the time of injury small blood vessels at the injury site rupture and cause tissue bleeding, which, in turn, can cause bruising and swelling.

Explanation:

There are five warning signs of inflammation:

Pain

Redness;

Tissue hotness;

Swelling, and

Loss of function.

Not every injury exhibits all these signs, but if your child is in pain then it is important to stop exercising immediately to avoid further damage.

"I" is for Ice

As soon as possible after injury, begin applying ice continuously for the first 15-20 minutes to decrease swelling and pain.

An ice bag can be applied directly to the skin (except on the outside of the knee) unless the child has a known cold allergy.

The safest form of icing is to use a plastic bag with ice cubes or crushed ice, or instant cold packs. Do not use “blue ice” or “gel packs”.

While icing will be uncomfortable at first, in 2 to 3 minutes, the skin will go numb and the ice bag will feel more comfortable.

If the child is very uncomfortable with ice bag, then a barrier like a wet towel can be placed between the ice and skin.

The ice bag can be secured in place using an elastic bandage, but the compression should not be too tight.

During the application of the ice, ask the child to wiggle their fingers/toes and monitor tissue around area that is being iced to ensure that they are not experiencing a lost of sensation.

Icing for 15-20 minutes with an ice bag is unlikely to cause nerve damage or frostbite; however, any loss of sensation and any changes in tissue coloration in areas other than the area that is being iced indicate that the application is no longer safe.

Because ice and plastic bags are so important, make sure that someone brings these to every practice and game. Better yet, to be on the safe side, bring your own!

brainliest please help

tell me if am right
if not correct me


​please

Answers

Answer:

See the answers below

Explanation:

To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

First case

Vf = 6 [m/s]

Vo = 2 [m/s]

t = 2 [s]

[tex]6=2+a*2\\4=2*a\\a=2[m/s^{2} ][/tex]

Second case

Vf = 25 [m/s]

Vo = 5 [m/s]

a = 2 [m/s²]

[tex]25=5+2*t\\t = 10 [s][/tex]

Third case

Vo =4 [m/s]

a = 10 [m/s²]

t = 2 [s]

[tex]v_{f}=4+10*2\\v_{f}=24 [m/s][/tex]

Fourth Case

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

[tex]v_{f}=5+8*10\\v_{f}=85 [m/s][/tex]

Fifth case

Vf = final velocity [m/s]

Vo = initial velocity [m/s]

a = acceleration [m/s²]

t = time [s]

[tex]8=v_{o}+4*2\\v_{0}=8-8\\v_{o}=0[/tex]

Which object has the most momentum?
A) a mass of 100, kg with a velocity of 2.0 m/sec
B) a mass of 100 kg with a velocity of 32.0 m/sec
C) a mass of 15 kg with a velocity of 200. m/ sec

Answers

C) has the most mass
A :-) a.) given - m = 100 kg
v = 2 m/s
Solution -
p = mv
p = 100 x 2
p = 200 kg m/s

b.) Given - m = 100 kg
v = 32 m/s
Solution
p = mv
p = 100 x 32
p = 3200 kg m/s

c.) Given - m = 15 kg
v = 200 m/s
Solution -
p = mv
p = 15 x 200
p = 3000 kg m/s

.:. Option c.) 3000 kg m/s object has the most momentum

If you walk 6mph how far would you get in 10 seconds?

Answers

Answer:

0.017

Explanation:

6÷3600×10=

6÷360=0.00166666666

=0.017(rounded)

Answer:

The answer is 1 mile in 10 minutes

Meteorites are of three kinds: stones, irons, and stony irons. Each
corresponds to a different part of planet formation. The stones resemble
pieces of planetary crust and mantle, the irons the planet cores, and the
stony irons the transitional area between core and mantle. In some stony
irons, translucent crystalline structures interpenetrate with opaque mantle
rock Collectors sometimes cut stony irons into thin slices and illuminate
them from one side for a gorgeous stained glass effect. Only one per cent
of all meteorites are stony irons. Five per cent are irons, and the remaining
ninety-four per cent are stones. The main function of the paragraph is to:
identify the three kinds of meteorites and provide information about each kind,
describe the chemical structure of the different types of rock found within the
meteorites classified as stones
explain why some meteorites contain both crystalline structures and opaque mantle
rock
list common ways collectors display pieces of meteorites.

Answers

Answer:

cookie

Explanation:

Can any kind soul help me please​

Answers

Explanation:

Hey there!

Given;

Mass of the Earth (M) = 6.0*10^24kg.

Radius of Earth (R) = 6400km = 6400*1000= 6.4*10^6.

Gravitational constant (G) = 6.67*10^-11Nm^2/kg^2.

Height from surface of Earth (h) = 350km= 3.5*10^5m

Gravity (g) = ?

We have;

[tex]g = \frac{G.M}{ {(R + h)}^{2} } [/tex]

Where "G" is gravitational constant, "M" is mass of earth, "g" is acceleration due to gravity, "h" height from surface of Earth.

Keep all values.

[tex]g = \frac{6.67 \times {10}^{ - 11} \times 6.0 \times {10}^{24} }{ (6.4 \times {10}^{6} + 3.5 \times {10}^{5} )^2} [/tex]

[tex]or \: g = \frac{40.002\times {10}^{13} }{ (6.4\times {10}^{6} + 3.5*10^5)^2} [/tex]

g = 8.7m/s^2

Therefore, gravity from distance 350km above the Earth's surface is 8.7m/s^2.

Hope it helps...

If a man with a mass of 75 kg, standing still, throws an object with a mass of 5 kg at 30 m/s, what will be the recoil velocity of the man, assuming he is standing on a frictionless surface?

Answers

Answer:

2 m/s

Explanation:

Given that,

Mass of a man, m₁ = 75 kg

Mass of object, m₂ = 5 kg

Velocity of the object, v₂ = 30 m/s

We need to find the recoil velocity of the man. Let it is v₁. In the whole process, the momentum of the system will remain conserved such that,

[tex]m_1v_1=m_2v_2\\\\v_1=\dfrac{m_2v_2}{m_1}\\\\v_1=\dfrac{5\times 30}{75}\\\\v_1=2\ m/s[/tex]

So, the recoil velocity of the man is 2 m/s

What steps can you take in your everyday life to properly care for your skeletal system? (Site 1)

Answers

The steps which can be taken to properly care for your skeletal system

include performing exercises and eating foods rich in calcium and vitamins.

The skeletal system comprises of the muscles, bones, teeth etc and they

help to provide support and shape to the body. Eating the right food and

performing  certain activities will help care for this system.

Foods rich in calcium and Vitamin D and exercises such as running, weight-

bearing etc should be taken into consideration to aid proper care of the

skeletal system.

Read more on https://brainly.com/question/19978886

Answer:

In order to properly take care of your skeletal system there are a multitude of activities or things you can do to improve the condition of your skeletal system. For starters you can exercise more often, depending on how much you already exercise because working out more is not always the best thing to do if you already have an intense exercise schedule. Then, you should take into consideration what you are eating and what vitamins, supplements, or medication you're taking. Once you have evaluated what your situation is, you should make a plan that best suits you based on your needs. Ingesting the proper nutrients and vitamins you need is essential to having a strong skeletal system, for example vitamin D and calcium are excellent supporters of the skeletal system.

Explanation:

This is what I wrote, change it up a bit and you'll be good. I got a 100% :)

how are atoms in a molecule held together?

A.through shared protons

B.through shared electrons

C.through shared neutrons

D.through shared energy

Answers

Atoms held together through shared electrons.

A molecule is composed of atoms. Atoms are the smallest particles of a substance which can take part in a chemical reaction. Atoms are composed of electrons and the electrons in the outermost shell of atoms help bond atoms together in a molecule.

Hence, atoms are held together in molecules by electrons so they are held together through shared electrons.

Learn more about molecules: https://brainly.com/question/19922822


A platinan bar measure 5.0cm long, 40cm
wide and 1.5 cm thick. if has a mass of 700.0grams.

Calculate the volume of platinum bar.


I need help :( Plz help me​

Answers

Answer:

that is what I got for my answer

Explanation:

I Calculate it and I got 1600

3. A wave is traveling with a period of 5 seconds. What is the frequency of the wave?

Answers

Answer:

0.2 Hz

Explanation:

f= 1/T where f= frequency and T=period

f= 1/5 sec

=0.2 Hz

Answer:

.2

Explanation:

A tiger leaps horizontally from a 6.2 m high rock with a speed of 3.4 m/s. How far from the base of the rock will she land?

Answers

First you will have to find how long Tiger stays in the air...since we consider the horizontal motion to be constant, then we have to find it using vertical motion...
y = vot + 1/2at*2
Tiger's vertical motion is 0 to begin with...
6.3 m = 0 + 1/2(9.8 m/s*2)t*2
t = 1.13 s
Second, how far horizontally will Tiger travel in that time...
v = d/t or d = vt = 3.5 m/s(1.13 s) = 4.0 m

Answer:

u got the answer^^^^^^^^gngnnngggngng

a car moving east with a velocity of 25mph.What is the acceleration?​

Answers

Answer:

0

Explanation:

Moving east at constant velocity then a=0


I need help with this please

Answers

Answer:

i know

Explanation:

The kinetic energy of a roller coaster is 100 joules. The potential energy of the same coaster is 100 joules. What is the mechanical energy of the coaster?

Answers

Answer/Explanation:

The mechanical energy is 200 joules. Mechanical energy is determined by adding the total kinetic energy by the total potential energy.

M = kp

100 + 100 = 200

Which of the following groups contain three elements with stable electron configurations?

A. xenon, neon, boron
B. helium, xenon, neon
C. argon, neon, barium
D. lithium, krypton, argon

Answers

Answer:

B. helium, xenon, neon

Explanation:

B is the correct answer because Helium, Xenon, and Neon are all Noble Gases at Group 18, which means they contain the full 8 electrons they need meaning they all have stable electron configurations.

function Of The glottis​

Answers

Answer:

Their function is to produce sound by allowing the free edges of the folds to vibrate against one another and also to act as the laryngeal sphincter when they are closed.

Answer:

The glottis is found within the larynx, and the epiglottis is a flap-like structure on top of the trachea. When swallowing, it will press downward to partially close off the trachea. Function of the glottis and epiglottis do to help prevent food and liquid from entering the air passage (trachea)

Can I please get brainliest

Two asteroids with masses 5.34 x 103 kg and 2.06 x 104 kg are separated by a distance of 5,000 m. What is the gravitational force between the asteroids? Newton's law of gravitation is F gravity Gmim. The gravitational constant Gis 6.67 x 10-11 N-m²/kg2. A. 400N B. 1.24 x 1032 N C. 1.47 x 10-6 N D. 2.93 x 10-10 N​

Answers

Answer:

[tex]F=2.93\cdot 10^{-10}~N[/tex]

Explanation:

Newton’s Law of Universal Gravitation

Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.

[tex]\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}[/tex]

Where:

m1 = mass of object 1

m2 = mass of object 2

r     = distance between the objects' center of masses

G   = gravitational constant: [tex]6.67\cdot 10^{-11}~Nw*m^2/Kg^2[/tex]

The asteroids have masses of [tex]m1=5.34\cdot 10^{3}~Kg[/tex] and [tex]m2=2.06\cdot 10^{4}~Kg[/tex] and are separated by r=5,000 m.

Calculating the gravitational force:

[tex]\displaystyle F=6.67\cdot 10^{-11}~Nw*m^2/Kg^2~{\frac {5.34\cdot 10^{3}~Kg \cdot2.06\cdot 10^{4}~Kg}{5,000^{2}}}[/tex]

Calculating:

[tex]\mathbf{F=2.93\cdot 10^{-10}~N}[/tex]

Answer:

D. 2.93 x 10-10 N​

Explanation:

Answer got deleted? Dont delete my answer 'katie'

btw got it right

What is the astronomical unit used to measure distances in the solar system?

Answers

Answer:

Astronomical unit

Explanation:

Short Answer: It's (au)

Long Answer:

The astronomical unit (au or AU) is defined as exactly 149,597,870,700 meters (about 93 million mi), which is roughly equal to the average distance between the Sun and Earth.

2. Two people, one on Earth and the other on the Moon, try and lift 200 kg blocks. Which person
will have to exert more force to lift their block or will they need to exert the same amount of
force? Explain your reasoning(4 pts)

Answers

Answer:

The person on Earth will have to exert more force to lift their block

Explanation:

The mass of the blocks to be lifted = 200 kg

The location of the first person = On Earth

The location of the second person = On the Moon

The force a person will have to exert to lift the block = The weight of the block = The gravitational force, F, on the block which is given as follows;

[tex]F = \dfrac{G \times M_1}{R^2} \times m_2[/tex]

Where;

[tex]\dfrac{G \times M_1}{R^2}[/tex]= The acceleration due to gravity on the Earth or the Moon, depending on the location of the block

m₂ = The mass of the block

Therefore, given that the acceleration due to gravity on the Earth is larger than the acceleration due to gravity on the Moon, the weight of the block on the Earth is larger than the weight of the block on the Moon, and the person on Earth have to exert more force to lift the heavier weight of the block on Earth than the person on the Moon will have to exert to lift the same block as the block has a lower weight on the Moon due to lower acceleration due to gravity on the Moon.

cutting down forests change the populations of more than tress. lmagine the organisms that lived in this forest. After the trees have been cut, fewer animals can survive here. What are MOST LIKELY the limiting factors in this case?

A) Food and space
B) Food and water
C) Water and space
D) Food and shelter

Answers

Answer:

a

Explanation:

What are the Laws of conservation of atoms?​

Answers

Answer:

Both the initial and final substances are composed of atoms because all matter is composed of atoms. According to the law of conservation of matter, matter is neither created nor destroyed, so we must have the same number and kind of atoms after the chemical change as were present before the chemical change.

Explanation:

Answer:

The law of conservation of atoms is simple but it has a great affect. An atom cannot be destroyed by such a force. Matter/atoms can't be created by any means. An atom exits only by nature and not by force.

Hope this helped! Please mark brainliest! Have a great day!

What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant
figures
0 2.790 J
5,580 J
025,100 J
050,200 J

Answers

C because I did the work and it came out to that

A stone is dropped from a high tower and 9.21 seconds later it hits the ground. How high is the tower?

Answers

Answer:

S = 415.64m

Explanation:

Given the following data;

Time, t = 9.21secs

Since it's a free fall, acceleration due to gravity = 9.8m/s²

Initial velocity, u = 0

To find the height of the tower, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Where;

S represents the displacement or height measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.

Substituting into the equation, we have;

[tex] S = 0*9.21 + \frac {1}{2}*(9.8)*9.21^{2}[/tex]

[tex] S = 0 + 4.9*84.8241[/tex]

[tex] S = 4.9*84.8241 [/tex]

Height, S = 415.64m

Therefore, the tower is 415.64m in height.

A ball weighing 2.0 N falls through a distance of 4 m.

Answers

Answer:

This question is incomplete, a possible question would be to calculate the work done by the ball.

Work done = 8J

Explanation:

Work done by an object is calculated my multiplying the force by the distance.

The weight of this ball is 2.0N, which also represents the force exerted by the ball. The ball travels through a distance of 4m

Hence, work done = F × d

Work done = 2N × 4m

Work done = 8Nm or 8J

HELP ME!

Micah knows that a car had a change in velocity of 15 m/s. What does Micah need to determine acceleration.

distance

time

direction

speed

Answers

Micah knows that a car had a change in velocity of 15 m/s.To determine acceleration ,Micah also needs the TIME of the total trip in seconds.

Answer:

its b

Explanation:

A tortoise can run with a speed of 0.10 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 2.0 minutes. The tortoise wins by a shell (20 cm)!How long does the race take?What is the length of the race?

Answers

Answer: a. 126.21secs

b. 12.621 meters.

Explanation:

Given data:

Speed of tortoise = 0.1m/s.

Speed of hare = 2m/s.

Solution:

a. Distance traveled = Speed* Time

Speed of tortoise = 0.1 m/s

Speed of hare = 20*0.1 m/s = 2 m/s

2 minutes = 2* 60 s = 120 s

Let the time taken for the race be t seconds.

• Distance moved by tortoise

= (0.1 /s)* (t s)

= 0.1*t meter

•Hare has run for a time of (t - 120)s.

distance moved by hare

= Speed * Time

= (2 m/s)*(t- 120)s

= (2t - 240) meter.

Since hare is 20 cm (0.2 m) behind the tortoise, therefore

(0.1*t - 0.2) meter

= (2t - 240) meter

0.1*t - 0.2 = 2t - 240

Collect like terms

239.8 = 1.9t

Divide both sides by 1.9

t = 126.21secs

The race lasted for 126.21secs

b. Length of race

= Distance moved by tortoise

= 0.1*126.21 meter

= 12.621 meter

The length of the race is 12.621 meters.

Which statement is true for light passing into a medium that is less optically dense than the first medium through which it passed?


The index of refraction of the second medium is higher.


The index of reflection of the second medium is lower.


The index of reflection of the second medium is higher.


The index of refraction of the second medium is lower.

Answers

Answer:

The correct option is;

The index of refraction of the second medium is lower

Explanation:

The index of refraction of a material indicates the magnitude of the optical density of a material. The index of refraction or the refractive index, n, are indices (ratio) of the speed of light through an optically dense medium relative to the speed of light through a vacuum.

The definition of the refractive index is the number of times light travelling through a medium would be slower than light travelling through vacuum

Therefore, the index of refraction of a second medium that is less optically dense than a first medium from which light originates and travels through it would be lower than the index of refraction of the first medium

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