A jet airliner moving initially at 366 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 127 mph in a direction 60◦ north of east. What is the new speed of the aircraft with respect to the ground?

Answers

Answer 1

Answer:

The new speed is [tex]V_r = 443.4 \ m/s[/tex] , in the direction  [tex]\theta = 14.36^o[/tex] with respect to the ground

Explanation:

From the question we are told that

   The initial speed of the jet airliner is 366 mph to the east (positive x - axis )

    The direction of the wind is  [tex]u = 127 \ mps[/tex] toward  60° north west

     Generally the  x component of jet airliner velocity is  

             [tex]v_x = 366 * cos (0) = 366 \ mph[/tex]

      Generally the  y component of jet airliner velocity is

              [tex]v_y = 366 * sin (0) = 0 \ mph[/tex]

       Generally the  x component of winds velocity is  

              [tex]u_x = 127 cos(60) = 63.5 \ m/s[/tex]

        Generally the y component of winds velocity is

              [tex]u_x = 127 sin(60) = 109.99 \ m/s[/tex]

Generally the velocity of both the jet airliner and wind along the x-axis is

        [tex]V_x = v_x + u_x = 366 + 63.5 = 429.5 \ m/s[/tex]

Generally the velocity of both the jet airliner and wind along the y-axis is

        [tex]V_y = v_y + u_y = 0 + 109.99 = 109.99 \ m/s[/tex]

Generally the resultant velocity is  

          [tex]V_r = \sqrt{V_x^2 + V_y^2}[/tex]

=>       [tex]V_r = \sqrt{429.5^2 + 109.99^2}[/tex]

=>       [tex]V_r = 443.4 \ m/s[/tex]

 The direction is  

         [tex]\theta = tan^{-1} [\frac{V_y}{V_x}][/tex]

=>      [tex]\theta = tan ^{-1}[\frac{109.99}{429.5}][/tex]

=>    [tex]\theta = 14.36^o[/tex]


Related Questions

A pitcher throws a baseball horizontally with a speed of 42 m/s. If the pitcher throws the baseball from a height of 1.25 meters, what is the resultant velocity of the ball right before it hits the ground? Include direction (angle).

Answers

Answer:

v = 42.28 m/s

Explanation:

It is given that,

The horizontal speed of a baseball, [tex]u_x=42\ m/s[/tex]

The pitcher throws the baseball from a height of 1.25 meters, h = 1.25 m

Firstly finding t i.e. the stone takes to reach the ground. Using second equation of motion as follows :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

a = -g and u = 0

[tex]d=-\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{-2d}{g}} \\\\t=\sqrt{\dfrac{-2\times 1.25}{9.8}} \\\\t=0.5\ s[/tex]

Vertical component of the velocity is :

[tex]v_y=gt\\\\v_y=9.8\times 0.5\\\\v_y=4.9\ m/s[/tex]

Resultant velocity,

[tex]v=\sqrt{v_x^2+v_y^2} \\\\v=\sqrt{42^2+4.9^2} \\\\v=42.28\ m/s[/tex]

So, the resultant velocity of the ball before it hits the ground is 42.28 m/s.

Answer:

42.28 m/s

Explanation:

Newton's First Law of
Motion

Answers

Answer:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force

Answer:

An object in motion will stay in motion unless acted on by an unbalanced force.

An object at rest will stay at rest unless acted on by an unbalanced force.

An object in motion will stay in motion, and an object at rest will stay at rest unless acted on by an unbalanced force

(There are three parts to Newton’s First Law of Motion)

You are writing a story on a table. What physical properties would you want your table to have?

Answers

Answer:The Table should be smooth, hard, and large

Explanation:

What is the difference between EMS waves and mechanical waves? Select all that apply. * Mechanical wave require a medium to travel on. EMS waves do NOT require a medium to travel on. EMS waves do NOT require a medium to travel on but, they can use a medium to travel on.

Answers

Answer:

EMS waves require no material medium to travel

Explanation:

Here, we want to consider the difference between mechanical waves and EMS waves

When we talk of EMS waves, we mean electromagnetic radiation waves .

Example of EMS waves include radio waves , x-rays etc

These kind of waves require no material medium to travel and this is the main difference they have with mechanical waves

a sample o aluminum is put in 10.5 mL of water. if the water rises to 13.5 mL when the aluminum is added, what is the density of the aluminum if it has a mass of 8.1 g

Answers

Answer:

The answer is 2.7 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\ [/tex]

volume = final volume of water - initial volume of water

volume = 13.5 - 10.5 = 3 mL

From the question we have

[tex]density = \frac{8.1}{3} \\ [/tex]

We have the final answer as

2.7 g/mL

Hope this helps you

How does the sun works

Answers

Answer:

The sun works by nuclear fission, because there is so much pressure, it makes it vErY hOt. ( About 10,340 degrees Fahrenheit to be exact, or 5,726 degrees Celsius* )

Explanation:

Hope this helps! <3

Is the moon accelerating?

Answers

Answer:

The Earth's gravity keeps the Moon orbiting us. ... This means gravity makes the Moon accelerate all the time, even though its speed remains constant.

Yes it is always accelerating due to gravity

what are these things called​

Answers

Wavelength and crest

Hope I helped

What shape must you make with a wire in a circut to have that current generate a magnetic field that is identical to the magnetic field produced by a normal bar magnet?
a
A straight line
b
An oval
c
A square
d
A coil

Answers

Answer:

The correct option is;

d. A coil

Explanation:

When a wire, which is an electric conductor is formed into the shape of a coil, and current is allowed to flow through the wire coil, a magnetic field is generated

The magnetic field generated by the electromagnetic coil has direction that consists of flux emanating from one end of the coil and entering the coil from the other end, similar to that of the magnetic field produced by a normal bar magnet.

Answer:

The maximum speed an object can fall in the presence of air resistance

Newton's third law

A coil

Discuss the significance of the Tropic of Cancer, the Equator, and the
Tropic of Capricorn as they relate to the seasons.

Answers

Answer:

im a capricorn may i?

Explanation:

A student kicks a football vertically upwards, causing the football to reach a maximum height of 40.0m before falling back to the ground. Determine all unknowns and answer the following questions. Neglect drag and the initial height and horizontal motion of the football.
A) With what speed was the football kicked?
B) What was the football's total flight time?

Answers

Answer:

A. 28 m/s

B. 5.72 s

Explanation:

The following data were obtained from the question:

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

A. Determination of the initial velocity.

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) =.?

v² = u² – 2gh (Ball is going against gravity)

0² = u² – (2 × 9.8 × 40)

0 = u² – 784

Collect like terms

0 + 784 = u²

784 = u²

Take the square root of both side

u = √784

u = 28 m/s

Thus, the ball was kicked with a velocity of 28 m/s

B. Determination of the time of flight.

We'll begin by calculating the time taken to reach the maximum height. This can be obtained as follow:

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) = 28 m/s

Time taken to reach the maximum height (t) =?

v = u – gt (Ball is going against gravity)

0 = 28 – 9.8t

Rearrange

0 + 9.8t = 28

9.8t = 28

Divide both side by 9.8

t = 28/9.8

t = 2.86 s

Finally, we shall determine the the time of flight as follow:

Time taken to reach the maximum height (t) = 2.86 s

Time of flight (T) =?

T = 2t

T = 2 × 2.86

T = 5.72 s

Therefore, the time of flight for the ball is 5.72 s

If the coefficient of sliding friction between a 25 kg crate and the floor is 0.45, how much force is required to move the crate at a constant velocity across the floor?

Answers

At constant velocity, the crate would be in equilibrium, so that Newton's second law tells us

p + (-f ) = 0

where p and f denote the magnitudes of the added pushing force and friction force, respectively.

The friction force is proportional to the normal force by a factor of µ, the coefficient of friction. There's no vertical movement going on, so Newton's second law says

n + (-w) = 0

where n and w are the magnitude of the normal force and the weight of the crate, respectively.

Compute n :

n = w = (25 kg) (9.80 m/s²) = 245 N

Use this and µ = 0.45 to compute f :

f = µ n = 0.45 (245 N) = 110.25 N

Solve for p :

p + (-110.25 N) = 0

p = 110.25 N ≈ 110 N

The force i.e required to move the crate at a constant velocity across the floor is 110 N.

At the same velocity, the crate should be in equilibrium, so as per Newton's second law, the following formula should be used:

p + (-f ) = 0

p means the magnitudes of the added pushing force

f means the friction force

Calculation of the force:

n = w = (25 kg) (9.80 m/s²) = 245 N

Now

force should be

= µ n

= 0.45 (245 N)

= 110.25 N

Learn more about the force here: https://brainly.com/question/24848856

help pls ill give points​

Answers

Answer:

The answer Is erosion!

Hope you do Great!

Explanation:

Answer:

weathering

Explanation:

On release 1, a student releases a cart from the top of a ramp, such that the cart travels 190cm before hitting the stopper. The cart increases speed steadily and reaches the bottom of the ramp in 4.00s. What was the magnitude of the cart's acceleration on release 1?

Answers

Answer:

0.2375m/s²

Explanation:

Given

S = 190cm = 1.9m

initial velocity u = 0m/s

Time t = 4.00s

Required

acceleration

Using the equation of motion

S = ut + 1/2at²

Substitute

1.9 = 0+1/2a(4)²

1.9 = 8a

a = 1.9/8

a = 0.2375m/s²

The magnitude of the cart's acceleration is 0.2375m/s²

While hiking in the mountains, you see a mountain lion. If you were to react as the Cannon–Bard theory of emotions proposes, which sequence of events would characterize your response? Group of answer choices You would experience physiological changes and a feeling of fear simultaneously. You would feel fear followed by physiological changes. You would experience physiological changes followed by fear. You would experience physiological changes and context appraisal followed by fear

Answers

Answer:

You would experience physiological changes and a feeling of fear simultaneously.

Explanation:

Cannon–Bard theory of emotions can as well be regarded as Thalamic theory of emotion, whenever the body experience a stimuli, a message will be sent to the brain by the Thalamus then there will be emotions as a result of this a physiological reaction such as trembling, sweating and others would follows. The theory stressed that physical reaction doesn't depends on emotional reaction.

In the case of hiking in the mountains, and one see a mountain lion. If one were to react as the Cannon–Bard theory of emotions proposes, the sequence of events that would characterize One's response is one would experience physiological changes and a feeling of fear, because a message is send to the brain by the Thalamus, then emotion set in and physiological reaction, which explains Cannon–Bard theory.

PLEASE HELP!! ILL MARK BRAINLYEST!!

The Law of Conservation of Matter is a basic principle in studying chemical reactions.


True
False

Answers

Answer:it is false

Explanation:

Michael is training to join the Army and runs to the left with a constant
velocity of 2 m/s. If he starts at Om, what is his position after 5 seconds?
Don't forget units and directions if appropriate.
Your answer

Answers

Answer:

[tex]10 \: m.[/tex]

Explanation:

[tex]his \: position \:is \: his \: distance \: from \: the \: \\ point \: of \: motion \: and \: is \: given \: by : \\ v = \frac{s}{t} \\ s = vt =2 \times 5 \\ s = 10 \: m.[/tex]

4 facts about light waves

Answers

ray of light travels very fast. The speed of light in space is approximately 300 million metres per second. Light is a kind of energy that can move in waves and it is made up of a flow of small particles of energy called photons. A ray of light travels very fast.

El elevador hidráulico de un garaje funciona mediante una prensa hidráulica conectada a una toma de agua de la red urbana que llega a la máquina con una presión de 5x10 5 N/m 2 . Si el radio del émbolo es de 20 cm y el rendimiento es de un 90% ¿Cuál es el valor en toneladas de la carga que como máximo puede levantar el elevador.

Answers

Answer:

El elevador puede levantar 5.76 toneladas de carga máxima.

Explanation:

De acuerdo a la ley de Pascal:

[tex] p_{1} = p_{2} [/tex]          

[tex] \frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}} [/tex]   (1)

En donde:

F: es la fuerza

P: es la presión

A: es el área

Sabiend que p₁ = 5x10⁵ N/m², tenemos que F₂ es:                              

[tex] F_{2} = p_{1}A_{2} [/tex]       (2)

El área del embolo viene dada por el área de una circunferencia:  

[tex] A_{2} = \pi r^{2} [/tex]    (3)

Introduciendo la ecuación (3) en la ecuación (2) tenemos:

[tex] F_{2} = p_{1}\pi r^{2} = 5 \cdot 10^{5} N/m^{2} \pi (0.20 m)^{2} = 62832 N [/tex]

Dado que el rendimiento es del 90%, la fuerza máxima es:

[tex] F_{2} = 62832 N*0.90 = 56549 N [/tex]

Ahora sabemos que la fuerza del elevador para levantar la carga máxima  es 56549 N y para encontrar el valor de toneladas de la carga máxima que puede levantar el elevador, debemos encontar la fuerza necesaria para levantar 1 tonelada:          

[tex] F = mg = 1000 kg*9.81 m/s^{2} = 9810 N [/tex]  

Finalmente, si para levantar 1 tonelada se debe aplicar una fuerza de 9810 N, y la fuerza total es igual a 56549 N, el numero de toneladas que puede levantar el elevador es:      

[tex] N = \frac{F_{2}* 1 ton}{F} = \frac{56549 N* 1 ton}{9810 N} = 5.76 ton [/tex]

Por lo tanto, el elevador puede levantar 5.76 toneladas de carga máxima.

Espero que te sea de utilidad!

An elephant walks due east for a distance of 7.9 km, turns around and then goes due west for 1.9 km, and finally turns around again and heads 3.6 km due east. What is the displacement traveled by the elephant in meters?

Answers

Answer:

The displacement traveled by the elephant is 9600 east

Explanation:

Displacement is defined as an object's change in position which is given by the difference between final and initial location of the object

The displacement of the elephant are, taking east as positive direction of motion;

1) 7.9 km east = + 7.9 km

2) 1.9 km west = -1.9 km

3) 3.6 km east = 3.6 km

The net (sum) displacement of the elephant, ∑Δx is given as follows;

∑Δx = 7.9 km - 1.6 km + 3.6 km = 9.6 km

Given that the sum of the displacement is positive and that 9.6 km = 9600 m, we have;

The displacement traveled by the elephant = ∑Δx =  9600 east.

An object is moving to the left. In which direction would a force need to be exerted to make this object slow down?

Answers

Answer:

left

Explanation:

When a force is applied in the opposite direction of motion, it opposes the motion of the object, causing its speed to decrease.

What is force?

A force is an influence in physics that can change the motion of an object. A force can cause a mass object to change its velocity, or accelerate.

Intuitively, force can be described as a push or a pull. A force is basically a vector quantity as it has both magnitude and direction.

The term "force" has a specific meaning in science. At this level, it is perfectly acceptable to refer to a force as a push or a pull.

Another object applies a force to another. The concept of a force is not restricted to living or non-living things.

To slow a moving object, apply force in the opposite direction to the direction of motion.

Thus, the force should be applied from left to slow down the object.

For more details regarding force, visit:

https://brainly.com/question/13191643

#SPJ2

Tell me a model that scientist have revised? Explain how it was changed.

Answers

An example can be any kind of yew technology. Provide information and how it was changed from any older sort.

If the deflection of a spring is doubled, then how much does the force change?

Answers

Answer:

The force is doubled as well.

Explanation:

If you double the spring then the force doubles as well.

If the deflection of the spring is doubled, the force exerted by the spring will also be doubled.

What is the Hooke's Law?

The relationship between the deflection of a spring and the force it exerts is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to its deflection. Mathematically, this can be expressed as:

F = kx

where F is the force exerted by the spring, x is the deflection of the spring, and k is the spring constant, which represents the stiffness of the spring.

If we double the deflection of the spring, then x becomes 2x, and the force exerted by the spring becomes:

F = k(2x) = 2kx

Thus, if the deflection of the spring is doubled, the force exerted by the spring will also be doubled (assuming the spring constant remains constant).

Learn more about the deflection here:

https://brainly.com/question/28334742

#SPJ6

Science is the study of the natural world through blank and blank

Answers

Answer:

biology. hope this helps

we know we have exerted a force even when we have no work done​

Answers

This is a true statement......

does anybody know?? Please help

Answers

Step 1;
Resolve or break the motion into horizontal and vertical components along the x- and y- axes.

Step 2;
Treat the motion as two independent one-dimensional motions, one horizontal and the other vertical

Step 3;
Solve for the unknowns in two separate motions—one horizontal and one vertical

Step 4; Recombine the two motions to find the total displacements and velocity v.

A crate is being pushed with a force of 75 N, if the resulting acceleration of the crate is 3 m/s? what is the
mass of the crate?

Answers

Answer:

The answer is 15 kg

Explanation:

The mass of the crate can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{75}{3} \\ [/tex]

We have the final answer as

15 kg

Hope this helps you

How many peanut butter cups does Benny have if he has 2 times as many as Karen. Karen has 80 peanut butter cups.

Answers

Answer:

160 peanut butter cups

Explanation:

80 * 2 = 160

Answer:

160

Explanation:

if benny has 2x more than karen and karen has 80 you would multiply 80 by 2 to get 160. therefore benny has 160. hope that helps

PLEASE HELP ME!


Which statement about nuclear reactions is NOT true?
a.
Nuclear power plants use fission of uranium.
b.
In fission, the total mass of the reactants equals the total mass of the products.
c.
In fission, nuclei are split, and in fusion, nuclei are combined.
d.
Energy as heat and light in the sun are generated by hydrogen fusion reactions.

Answers

Answer:

b.  In fission, the total mass of the reactants equals the total mass of the products.

Explanation:

In a nuclear reaction, the total mass of the reactants does not equal to the total mass of the products.

This is because mass is converted to energy in a nuclear reaction.

It is true that nuclear power plants use fission. Uranium is the fuel in most reactors used to generate electricity. During nuclear fission, an unstable nucleus is split and in fusion, atoms are combined together. Heat and light is produced in the sun which are generated by hydrogen fusion reactions.

If a car moves with a constant acceleration, can you conclude that there are no forces acting on it?

Answers

There are forces acting on it
Other Questions
-8 divided by -4 if you get -12 your wrong that's not the answer do think it's a. 2 or c. -2 amino acids are the building blocks of which class of macromoleculces anyone please help, this is due in 10 minutes what makes an electric motor spin a the permanent magnets A the electromagnet constantly attract each other B the amount of the permanent magnet and electromagnet constantly repel each other C the permanent magnet and an electromagnet constantly attract and pull each other Dthe permanent magnet and an electromagnet to have no effect of the spinning of the motor? can you find page number to why is a wolf so important to the ecosystem if i have 18 pounds of cheese how many pizza can i make STATION 1 - Shake a large mass vertically and horizontally and describe the difference. What if you were on the space station? There are 140 seats in the school auditorium. There are 7 seats in each row. There are 70 people seated, filling up full rows of seats.How many rows are empty?There are??? empty rows I, my , mine,and me are all personal pronoun A line that passes through (3, 1) and (0, -3) In the second sentence of the first letter, Celie scratches out I am and then writes, I have always been a good girl. Why? What type of light does a plant cell use to make it green? is this a function or not: step by step How does the story "Once upon a Time" incorporate irony? What themedoes this story convey? What will happen to the mean if the median will increase? Which is not a characteristic of a living organismO able to moveO respond to environmentO require energyO maintain internal balanceeginO contain cells QUESTION 1 During the time of Pangaea most of the dry land on Earth was joined into one huge landmass that covered nearly a third of the planet's surface. The giant ocean that surrounded the continent is known as what?QUESTION 2Pangaea existed during what geological time periods, which were times of great change?QUESTION 3 Most distributions of rocks within Earth's crust, including minerals, fossil fuels, and energy resources, are a direct result of the history of plate motions and collisions and the corresponding changes in the configurations of the continents and ocean basins. Research and explain how plate tectonics could account for these resources exactly.PLS ANSWeR Can someone please tell me their thoughts or answers because Im really stuck and its due today. there are 21 people taking a group trip to north carolina. Tickets for the trip cost $121 each. what is the total cost of the tickets? Can you guys name 2 objects that represent freedom (other than a bird) please?(optional) what song represents freedom?