I need help, worth 40 Points!

A plane flies due north (90° from east) with a velocity of 100 km/h for 3 hours. During this time, a steady wind blows southeast at 30 km/h at an angle of 315° from due east. After 3 hours, where will the plane’s position be relative to its starting point?

*Please try to fill the data table.

I Need Help, Worth 40 Points!A Plane Flies Due North (90 From East) With A Velocity Of 100 Km/h For 3
I Need Help, Worth 40 Points!A Plane Flies Due North (90 From East) With A Velocity Of 100 Km/h For 3

Answers

Answer 1

Answer:

thank you

Explanation:

Answer 2

Split up the two given velocity vectors into horizontal and vertical components.

Plane:

p = (100 km/h) (cos(90°) i + sin(90°) j ) = (100 km/h) j

Its direction is given, 90° relative to east.

Traveling for 3 hours with this velocity results in a displacement of

p * (3 h) = (300 km/h) (3h) j = (900 km) j

meaning that this velocity contributes to a north-facing displacement of 900 km.

Wind:

w = (30 km/h) (cos(315°) i + sin(315°) j ) ≈ (21.2 km/h) i + (-21.2 km/h) j

Its direction is also given, 315° relative to east.

After 3 h, this velocity contributes to a displacement of

w * (3h) ≈ (63.6 km) i + (-63.6 km) j

meaning if the plane had no velocity of its own but somehow stayed in the air, the wind would have pushed it about 63.6 km south and 63.6 km east, which translates to a net displacement of

√((63.6 km)² + (-63.6 km)²) = 90 km

due southeast.

Putting everything together, your table displacement table should read:

.                       |   wind   |   plane

velocity           |   30      |   100       ...   km/h

direction         |   90°     |   315°      ...   relative to east

x                      |   63.6   |   0           ...   km

y                      |  -63.6   |   900      ...   km

The resultant vector is the sum of these, r = p + w :

r ≈ (21.2 km/h) i + (78.8 km/h) j

After 3 h, the resultant displacement is

r * (3h) ≈ (63.6 km) i + (236.4 km) j

with magnitude

√((63.6 km)² + (236.4 km)²) ≈ 244.8 km

and direction θ such that

tan(θ) ≈ (236.4 km) / (63.6 km)

θ ≈ arctan(3.714) ≈ 74.9°

So the resultant table should read

xnet             |   63.6 km

ynet             |   236.4 km

magnitude   |   244.8 km

theta            |   74.9° relative to east


Related Questions

You walk forward 105 meters, in 15 seconds. What is your overall velocity? I need help immediately please

Answers

Velocity = displacement/ time
105 meters/ 15 seconds = 7 m/s

You run
completely around a 400m track in
100s. What was your average velocity?

Answers

Answer:

About 410

Explanation:

Answer:

4 m/s

Explanation:

Divide 400 m by 100 s to get 4 m/s. It also equals about 8.95 mph, 8.94775 mph to be exact.

"Johnson is throwing rocks at a bug. The bug in response first flies up 117 Cm, then down 32 cm. After dodging another rocks, the bug again flies up 15 cm. This all takes place of 7 seconds"

What is the Average Velocity of the bug in m/s?
What is the Average Speed of the bug in m/s?

(I know this is very dry, but I could really use some help)
Don't solve the problem, just give the equation/method of solving

Answers

IM SORRY THIS IS JUST FUNNY TO ME AHDAHJASHJHADJAS THE BUG FLEW HIGH GOD DAYUM

Which statement explains why the compass needle points in the direction it
does?
O A. The south pole of a magnet is the same as Earth's magnetic south
pole.
B. The north pole of a magnet attracts Earth's magnetic north pole,
C. The north pole of one magnet attracts the south pole of another
magnet
D. The north pole of one magnet attracts the north pole of another
magnet

Answers

Answer:

C. The north pole of one magnet attracts the south pole of another magnet.

Explanation:

A P E X

The best explanation that compass needle points in the direction it

does is that the north pole of one magnet attracts the south pole of another magnet. Hence, option C is correct.

What is a magnet?

Anything that creates a magnetic field is considered to be a magnet. The most noteworthy characteristic of a magnet—a force that drags on other magnetic elements like iron, steel, etc.—is caused by this invisible magnetic field, which also attracts or repulses other magnets.

A piece of equipment built from a substance that has been magnetized and produces a consistent magnetic field is called a permanent magnet. A typical illustration is a fridge magnet used to keep notes on the door of the refrigerator. The term "ferromagnetic" refers to substances that can be attracted and are also powerfully drawn to a magnet.

These comprise several naturally occurring minerals, some alloys including rare-earth metals, and the elements iron, nickel, and cobalt and their alloys.

It is the property of the magnet that opposite poles attract each other, while the same poles repel each other.

To know more about Magnet:

https://brainly.com/question/2841288

#SPJ2

A bee is flying in your garden. There are Unbalanced forces act on the bee. List 3 things that can happen to the bee’s motion.

Answers

ECfwars4deayuesd84e55skESRYA2df623ecvp7A748

5A67dgphitrs5szxsz  

ââ

tdcluuuuuuu

âA

The Bee’s Motion could speed up, slow down, or stop completely. It can also move in different directions such vertically, horizontally, or diagonally, because of the unbalanced forces. *Hope this helped!!

As a pendulum swings from its highest to its lowest position along an arc, what happens to its kinetic energy and potential energy?

Answers

At its highest position along the arc, the pendulum is at its lowest point of kinetic energy but its highest point of potential energy. As it swings to the lowest position, the potential energy is converted into kinetic energy, thus decreasing potential energy and increasing kinetic energy.

Hope this helped!

Which part of a DC generator keeps the electric current flowing in only one
direction?
A. The permanent magnets
B. The commutator
o
C. The power source
D. The wire coil

Answers

it’s the commutator

Explain why the focal point of a diverging lens is called a virtual focal point.

Answers

The concave lens is a diverging lens, because it causes the light rays to bend away (diverge) from its axis. In this case, the lens has been shaped so that all light rays entering it parallel to its axis appear to originate from the same point, F, defined to be the focal point of a diverging lens.

A 3.90 kg block is in equilibrium on an incline of 31.0◦. The acceleration of gravity is 9.81 m/s2 . What is Fn of the incline on the block? Answer in units of N.

Answers

Answer:

Explanation:

The sum of the pore along the plane is expressed according to Newton's law

Fn-Ff = ma

Fn is the moving force

Ff = nR = frictional force

m is the Mass

a is the acceleration

Substitute the given values

Fn - nR = ma

Fn - tan31°(mgcostheta) =3.9(9.8)

Fn - tan31(3.9(9.8)cos31) = 3.9(9.8)

Fn - tan31(38.22cos31)= 38.22

Fn - 32.76tan31 = 38.22

Fn-19.68 = 38.22

Fn = 38.22+19.68.

Fn = 57.90N

Hence Fn (moving force) of the inclined block is 57.90

HELP HURRY PLEASE
According to the law of reflection, if angle of incidence is 50, what is angle of reflection?
A. 45
B. 50
C. 25
D. 100

Answers

Answer:

50

Explanation:

The angle of reflection is 50 because angle of incidence is equal to the angle of reflection

A farmer is pushing a 75 kg plow across a field with 700 N at an angle of 35 degrees above the ground. If the kinetic frictional force between the plow and the field is 250 N. What is the Normal Force from the ground onto the plow? And what is the acceleration of the plow?

Answers

Given :

A farmer is pushing a 75 kg plow across a field with 700 N at an angle of 35 degrees above the ground.

The kinetic frictional force between the plow and the field is 250 N.

To Find :

The Normal Force from the ground onto the plow.

The acceleration of the plow.

Solution :

Normal force = mg + F sin Ф

= 75×10 + 700 × sin 35°

= 1151.50 N

Now,

ma = 700 cos Ф - 250

75×a = 323.4

a = 4.31 m/s²

Hence, this is the required solution.

What happens to potential energy as the car goes up the hill?

Answers

The potential energy will increase
As a car goes up a hill, gravitational potential energy increases and kinetic energy decreases. I hope this helps!

Work out the current through an electric kettle with a power of 2.2 kW if it uses the 180 V mains supply. Round your answer to 2 significant figures.



Answers

Answer:

12 A

Explanation:

Given,

Power of electric kettle=2.2 kW=2200W (since 1kW=1000W)

Voltage=180V

Current=?

Power = Voltage*Current

Current = Power ÷ Voltage

=2200W ÷ 180V

=12.22 Ampere

=12 A

The amount of current moving through the electric kettle with the given power and voltage is 12A.

Given the data in the question;

Power; [tex]p = 2.2kW = 2200W[/tex]Voltage; [tex]V = 180V[/tex]

Using the the power law equation:

Electrical power is the product of voltage and current:

[tex]P = V * I[/tex]

Where V is voltage and I is current

We substitute our given values into the equation

[tex]2200W = 180V * I\\\\I = \frac{2200W}{180V} \\\\I = 12.22A\\\\I =12A[/tex]

Therefore, the amount of current moving through the electric kettle with the given power and voltage is 12A.

Learn more: https://brainly.com/question/21653855

pls help me with this question pls

Answers

Explanation:

pls help me with this question pls

What do scientists use to measure force?

Answers

Answer:

force meter

Explanation:

Answer:

Wrong, the correct answer is "newton"

Explanation:

1 Newton = 1 kilogram-meter per second2

Pls answer both asap

Answers

Answer:

Problem 1 is D

Problem 2 is C

See the comments.

Explanation:

An astronaut is working outside the International Space Station where the atmospheric pressure is essentially zero. The pressure gauge on her air tank reads 690000 Pa. What force does the air inside the tank exert on the flat end of the cylindrical tank, a disk 0.150 m in diameter?

Answers

Answer:

Explanation:

Pressure = Force/Area

Given

Pressure = 690,000Pa

Area will be the area of the circular section of the cylindrical tank

Area of a circle =πd²/4

Area of a circle =π(0.15)²/4

Area of a circle = 3.14(0.0225)/4

Area of a circle = 0.07065/4

Area of a circle = 0.0176625m²

Get the force

Force = Pressure * Area

Force = 690,000* 0.0176625

Force = 12,187.125N

Hence the force applied by the air inside the tank is 12,187.125N

1 Una pelota rueda hacia la derecha siguiendo una trayectoria en línea recta de modo que recorre una distancia de 10 m en 5 s. Calcular la velocidad y la rapidez.

Answers

Answer:

Entonces la velocidad es 2 [tex]\frac{m}{s}[/tex] hacia la derecha, mientras que la rapidez es 2 [tex]\frac{m}{s}[/tex].

Explanation:

La rapidez es una magnitud escalar que relaciona la distancia recorrida con el tiempo mientras que la velocidad es una magnitud vectorial que relaciona el cambio de posición (o desplazamiento) con el tiempo.

Es decir, la rapidez es una magnitud física que expresa el valor numérico y la unidad de una distancia en relación con el tiempo.

Matemáticamente,  es expresada como el cociente entre el camino recorrido y el tiempo transcurrido:

[tex]rapidez=\frac{distancia}{tiempo}[/tex]

Por otro lado, la velocidad expresa cómo se está moviendo un objeto en cada momento, informando la dirección, el sentido y la rapidez del movimiento (la velocidad se refiere al intervalo de tiempo que le toma a un objeto desplazarse hacia una dirección determinada y, al involucrar la dirección o sentido del movimiento, es una magnitud vectorial).

Matemáticamente, la velocidad es calculada como el cociente entre el desplazamiento que realizó un cuerpo  y el tiempo total  que le llevó realizarlo.

[tex]velocidad=\frac{desplazamiento}{tiempo}[/tex]

En este caso, sabes que:

distancia= desplazamiento= 10 mtiempo= 5 s

Reemplazando obtenes que la aceleración es:

[tex]rapidez=\frac{10m}{5 s}[/tex]

rapidez= 2 [tex]\frac{m}{s}[/tex]

y la velocidad es:

[tex]velocidad=\frac{10m}{5s}[/tex]

velocidad= 2 [tex]\frac{m}{s}[/tex] hacia la derecha.

Entonces la velocidad es 2 [tex]\frac{m}{s}[/tex] hacia la derecha, mientras que la rapidez es 2 [tex]\frac{m}{s}[/tex].

________ is the speed and direction of an object

Answers

Answer:

velocity

Explanation:

plz mark brainliestʕ•ᴥ•ʔ

Velocity is the answer

Define Gulf in your own words?

Answers

Answer:A deap inlet of the sea Almost surrounded by land, with narrow mouth.

25 POINTS!
A 60 kg man is moving at 2 m/s. What is his kinetic energy?
A. 60 J
B. 240 J
C. 30 J
D. 120 J

Answers

answer : d, 120 j :)

define frequency in terms of a wave

Answers

Answer:

Explanation:

For a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given period of time. So while wave frequency refers to the number of cycles occurring per second, wave speed refers to the meters traveled per second

Two students are measuring the Gravitational Attraction between each other. One student weighs 120 kg. The other student weighs 108 kg. Calculate the gravitational pull they have on each other.

Answers

Answer:

[tex]F=8.64\times 10^{-9}\ N[/tex]

Explanation:

Given that,

Mass of student 1, m₁ = 120 kg

Mass of student 2, m₂ = 108 kg

Let they are at a distance of 10 m.

We need to find the gravitational pull they have on each other. The gravitational force acting between two objects is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{120\times 108}{(10)^2}\\\\=8.64\times 10^{-9}\ N[/tex]

So, the gravitational pull between students is [tex]8.64\times 10^{-9}\ N[/tex].

To get to the kitchen from her bedroom, Maria walks 3 m north and then 4
m east. What is the total distance and displacement of Maria? *

Answers

Distance = 3+4 = 7m
Displacement = Use Pythagoras theorem to get, square root 3^2 + square root 4^2 = 3 + 2 = 5 meters

What is the net force on a bathroom scale when a 110 pound person stands on it? How do you know?

Answers

The scale is a rest scale reads the support for is not enough net force.

True or false. Atoms of a given element will have the same mass.

Answers

Answer:

True

Explanation:

Atoms of the same element will always have the same atomic mass or the mass listed in the periodic table.

En un año se otorgará uno de tres premios (a la investigación, la enseñanza y el servicio) a algunos de los estudiantes, de un grupo de 25, de posgrado del departamento de estadística. Si cada estudiante puede recibir un premio como máximo, ¿cuántas selecciones posibles habría?

Answers

Answer:

Habría 13,800 selecciones posibles.

Explanation:

Permutar es colocar elementos en distintas posiciones.

Se llama permutación de m elementos a cada una de las diferentes ordenaciones  que se pueden hacer con esos elementos. En otras palabras, se llama permutaciones de  m elementos en n posiciones a las distintas formas en que se pueden ordenar los m elementos ocupando únicamente las n  posiciones.

En el caso de la permutación no se repiten los elementos, ya que de repetirse o ser iguales entre si, al intercambiarlos no se genera una nueva permutación.

El número de permutaciones de n elementos elegidos k a la vez es calculado como:

[tex]P=\frac{n!}{(n-k)!}[/tex]

Como los premios son distinguibles, la permutación es usada en este caso, donde n=25 y k=3

Entonces:

[tex]P=\frac{25!}{(25-3)!}[/tex]

Resolviendo:

[tex]P=\frac{25!}{(22)!}[/tex]

Recordando que el factorial es una operación matemática que indica que se deben multiplicar todos los números enteros y positivos que hay entre el número al cual deseas calcular el factorial y el número 1, entonces se obtiene:

P= 13,800

Habría 13,800 selecciones posibles.

La selección de los alumnos se puede realizar de 2300 formas.

Teniendo en cuenta eso, tenemos 25 estudiantes graduados para ser seleccionados para tres tipos diferentes de premios, como pabellones de investigación, docencia y servicio.

Ahora;

25C3 = 25! / 3! (25 - 3)!

25C3 = 25! / 3! 22!

25C3 = 2300

La selección de los alumnos se puede realizar de 2300 formas.

Más información: https://brainly.com/question/13387529

carbon has six protons. which model shows a neutral atom of carbon?

Answers

Answer:

It should have 6 electrons to be a neutral carbon atom

Use the term chemical change in a complete sentence

Answers

Answer:

A paper being burned is a chemical change.

Question 3 of 10
Why do electric charges that move through a magnetic field produce an
electric current?
A. The magnetic field exerts a force on only the negative charges in
the wire.
B. The magnetic field exerts a force on only the positive charges in
the wire.
C. The magnetic field pushes negative charges and positive charges
in the same direction.
D. The magnetic field pushes negative charges and positive charges
in opposite directions.

Answers

Answer: D

Explanation: a p e x :)

Answer:

B. The magnetic field pushes negative charges and positive charges in opposite directions.

Other Questions
Helps me solve this problem please hurry due in five min plz y=2x+10 in standard form What is the value of tan(60)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1 Over StartRoot 3 EndRoot EndFraction Why does Amys mother cook all her favorite foods even though she knows it will embarrass Amy?She wants Amy to remember who she is and her culture.She wants to keep Amy away from Robert. She wants Roberts family to come back more often.She wants Amy to pretend that she does not like all her favorite foods. identify three of the many shared ethical standards among businesses that are incorporated in codes of ethics Most plastics are made from oil or natural gas. One step in making plastics from these resources is called cracking. Cracking is a process that breaks down bigger molecules into smaller ones. In one cracking reaction, ethane breaks down to become ethylene and hydrogen. During this process, thermal energy is absorbed from the surroundings and converted to chemical energy.True or False A car has a mass of 850 kg. By pushing on the car, Evan increases its speedfrom 3.5 m/s to 5 m/s. What impulse did Evan apply to the car?A. 4250 kgm/sB. 1275 kgm/sC. 850 kgm/sD. 2975 kgm/s 3.How many solutions would this system of equations have?y = 2x + 1y =2(x+3)a) Oneb) No solutionsc) Two solutiond) Infinitely Many solutions. today is my 14th b day no one probably cares but i just felt like letting who ever cares know a) Explain the difference between Monkish concept and moderate path with examples. (word limit: 300 words, 3 marks) Helpp pls I tired to solve it out but I cant get it How are online sources used? Check all that apply.as a way to learn from othersas a way to play gamesas a way to find informationas a way to socialize with othersas a way to copy the work of others( and if not answer correctly I will report) FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples. question in pic. please help! your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expression for the profit of the car. find the profit if the class washes 34 cars. The reactants in a chemical equation have 3 carbon atoms, 6 oxygen atoms, and 4 hydrogen atoms. In order to follow the conservation of matter, the products of the chemical equation will have Estimate 296/26 by first rounding each number so that it has only 1 nonzero digit CAN SOMEONE PLZ HELP MEI BEG U ILL DO ANYTHING JUST HELP ME!!!! What are the two tasks that Odysseus has to perform to FINALLY be at home? (After hehas reached home's shore). ASAP!