A jetliner can fly 8.0 hours on a full load of fuel. Without any wind it flies at a speed of 2.42 x 102 m/s. The plane is to make a round-trip by heading due west for a certain distance, turning around, and then heading due east for the return trip. During the entire flight, however, the plane encounters a 40.7-m/s wind from the jet stream, which blows from west to east. What is the maximum distance (in kilometers) that the plane can travel due west and just be able to return home

Answers

Answer 1

Answer:

3386.23 Km

Explanation:

Without any wind interference the speed of the plane, it flies at 2.42 x 102 m/s or 242 m/s

The magnitude of the velocity of the air = 40.7-m/s

The time taken, for the plane to fly due west, tw = distance, x ÷ (speed of the plane without wind interference, up - the magnitude of the velocity of the air, ua).......... (equation 1)

The time taken, for the plane to fly due east, te = distance, x ÷ (speed of the plane without wind interference, up + the magnitude of the velocity of the air, ua).......... (equation 2)

To calculate the total time, t, the plane can fly to cover east and west distances, we add equation 1 and 2 together

t = (x ÷ (up - ua)) + (x ÷ (up + ua))

Making distance x, the subject of the formula we have:

x = t ( up²- ua²) ÷ 2up

note t = 8.0 hours which is (8 x 60 x 60) seconds = 28,800‬

So, x = 28,800‬ ((242 m/s)² - (40.7-m/s)²)÷ 2(242 m/s)

x= 1,638,936,288‬ ÷ 484

= 3386.23 Km


Related Questions

true or false the 20 liter sphere test can be conducted with dust mixtures

Answers

False. The 20 liter sphere test is a method used for the evaluation of flammability and explosion hazards of dust clouds.

It involves introducing a dust sample into a 20-liter sphere and igniting it under controlled conditions to determine if a dust cloud explosion can occur. The test is specifically designed for combustible dusts, which are finely divided particles that can form explosive mixtures in the air when dispersed. Dust mixtures, by definition, consist of a combination of different dust types or different particle sizes, and the 20 liter sphere test is not specifically intended for testing dust mixtures. However, similar tests or modified procedures may exist for evaluating the hazards associated with specific dust mixtures, depending on their composition and characteristics.

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5. Explain how changes in ther-
mal energy and changes in
state of matter are related.

Answers

Thermal energy absorption or release can cause a change in the state of matter.

How are changes in the state of matter connected to thermal energy?Thermal energy is either supplied or subtracted when a particular piece of matter changes states, but the temperature stays constant. Thermal energy , for instance, is what causes the bonds inside a solid to disintegrate when it is melted.Thermal energy absorption or release can cause a change in the state of matter. State change refers to this alteration. Figure 11's graph illustrates how the temperature of an ice container varies when thermal energy is gradually supplied to it . As a result of being heated, its temperature increases.

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A plastic rod 1.8 m long is rubbed all over with wool, and acquires a charge of -8E-8 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the -axis extending to the right, the -axis extending up, and the -axis out of the page. In order to calculate the electric field at location < 0.7, 0, 0 > m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece.


Required:

a. What is the length of one of these pieces?

b. What is the location of the center of piece number 8?

Answers

a. Length of one pieceThe given rod is divided into 8 pieces to calculate the electric field at the given location. Therefore, the length of one piece of the rod is 1.8/8 = 0.225 m or 22.5 cm. Hence, the length of one piece is 0.225 m.b. Location of the center of piece 8. content loadeA plastic rod 1.8 m long is rubbed all over with wool, and acquires . charge of -8E-8 coulombs

The position of the center of the ith piece from the left end of the rod is given by the formula for the position of the midpoint of a line segment:x_i = (i - 0.5)ΔxHere, Δx is the length of each piece of the rod. As already found out, Δx = 0.225 m

.The location of the center of piece number 8 is:x_8 = (8 - 0.5)Δx = (7.5)(0.225 m) = 1.6875 m or 1.69 m (rounded to two decimal places).Hence, the location of the center of piece number 8 is <1.69, 0, 0> m.

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You are going to construct a new optical observatory, and money is no object. Other than putting it into space, what factors will affect your decision for its location on Earth?

Answers

Answer:

When choosing a location for a new optical observatory on Earth, there are several factors to consider. Some of the key factors include:

Atmospheric Conditions: The observatory must be located in an area with stable, clear, and dry atmospheric conditions. This is because atmospheric turbulence and water vapor can affect the clarity of the images obtained by the telescope.Light Pollution: The observatory should be located far away from sources of light pollution such as cities, airports, and highways. Light pollution can interfere with the ability of the telescope to capture clear images of the night sky.Altitude: Higher altitudes are generally better for astronomical observations, as the air is thinner and there is less atmospheric distortion.Accessibility: The observatory should be easily accessible for the transportation of personnel, equipment, and supplies. It is also important to consider factors such as the availability of electricity, water, and other resources.Stability: The observatory must be located in an area that is geologically stable, with minimal seismic activity, to avoid any damage to the telescope and its support structures.

Taking into account these factors, some of the best locations for optical observatories on Earth are high-altitude sites in remote, dry, and mountainous areas, like Mauna Kea in Hawaii, Cerro Paranal in Chile, or Roque de los Muchachos Observatory in Spain!

Water in the Antarctica usually exists as ice ,making it very difficult to use the water or conduct experiments reqiring the water to be in liquid state .A coffee addicted physisits stationed at a research base requires about 0.8 kg of ice for his coffe on the hour

Answers

Answer:

2730.304 KJ

Explanation:

 How much heat is required to convert 0.8 kg of ice at  -35°C into steam at 100 C?

Given that:

mass of ice (m) = 0.8 kg = 800 g

Initial temperature (\(T_i\)) = -35°C = 238 K

final temperature (\(T_n\))= 100°C = 373 K

Specific heat of ice (\(S_i\)) = 2.108 J/g.K

Specific heat of water (\(S_w\)) = 4.18 J/g.K

Latent heat of fusion (\(L_f\)) = 334 J/g.

Latent heat of vaporization (\(L_v\)) = 2230 J/g.

\(\Delta T=T_n-T_i=373-238=135K\)

Total heat (Q) required to increase the temperature of ice from the initial temperature of 238K to final temperature of 373 K is given by the equation:

\(Q=m\Delta TS_i+m\Delta TS_w+mL_f+mL_v\\Q=800(135)*2.108+800(135)*4.18+800*334+800*2230\\Q=227664+451440+267200+1784000=2730304J\\Q=2703.304KJ\)

Determine the z-transform, including the ROC, for the sequence - a^u [-n − 1] where a = 7.51. What is the value of the z-transform when z. =3.73. Provide your answer with TWO decimal digits of accuracy.

Answers

without knowing the specific value of n, it is not possible to calculate the z-transform at z = 3.73 accurately.The z-transform of the sequence -a^u[-n-1], where a = 7.51, is given by:

X(z) = -a^u[-n-1] * z^(-n)

The region of convergence (ROC) for this z-transform is determined by the values of a and the magnitude of z. Since a = 7.51, the ROC will be outside the circle with radius |a| = 7.51 in the z-plane, i.e., |z| > 7.51.

To find the value of the z-transform at z = 3.73, substitute z = 3.73 into the equation:

X(3.73) = -a^u[-n-1] * (3.73)^(-n)

Unfortunately, without knowing the specific value of n, it is not possible to calculate the z-transform at z = 3.73 accurately.

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david popenoe's research suggests that the weakest families on earth may be found in

Answers

David Popenoe's research suggests that the weakest families on earth may be found in Western, industrialized nations.

Industrialized countries such as America, France, the United Kingdom, and other Western nations have weaker family values and structures than developing nations, according to David Popenoe's research. The family's crucial role in society's economic, social, and emotional stability has long been recognized by social scientists.

Popenoe's research supports the notion that Western, industrialized societies may be experiencing a family crisis.Popenoe says that family disintegration and weakening is a serious social problem in the Western world. Popenoe's studies found that Western societies, which place a high value on independence, individualism, and personal satisfaction, are at odds with the family's objectives of commitment, obligation, and selflessness.

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If a mass of 10 kg is accelerated at a rate of 2 m/s^2, what force must be
applied?

Answers

Answer:

20N

Explanation:

10kg=mass 2m/s²= Acceleration

Force=?

the equation is;

Force(N)=Mass(kg) × Acceleration(m/s²)

10×2=20

an ocean wave has a wavelength of 3 meters and a frequency of 0.5 Hz. What is
the speed of the wave?

Answers

Answer:

1.5 m\s Ans ......

Explanation:

Data:

f = 0.5 Hz

w = 3 m

v = ?

Formula:

v = fw

Solution:

v = (0.5)(3)

v = 1.5 m\ s Ans ........

why do organisms need to breathe?​

Answers

Answer:

Most living things need oxygen helps organisms grow,reproduce,and turn food into energy.Oxygen gives our cells the ability to break down food in order to get the energy we need to survive.

what is the gravitational potential energy?​

Answers

Answer: It is potential energy associated with gravitational force. Or if you want to use another definition, it is the energy possessed or acquired by an object due to a change in its position when it is present in a gravitational field. Pick either definition.

Hope this helped!

Migratory birds use Earth’s magnetic field to guide them. Some people are concerned that human-caused magnetic fields could interfere with bird navigation. Suppose that a pair of parallel high-voltage lines, each carrying a current of 100A are 3.00 meters apart and lie in the same horizontal plane. Find the magnitude and direction of the magnetic field the lines produce at a point 15.0 m above the midpoint between the two lines in each of these two cases:

Answers

Solution :

The direction of current is into the page.

The magnetic field \($B_1$\) due to the wire is perpendicular to AP and the magnetic field \($B_2$\) due to the wire is perpendicular to BP. Thus, the net magnetic field at point P is towards the right.

The net magnetic field at point P is

\($B_{net} = B_1 \cos \theta + B_2 \cos \theta$\)

The magnetic field is

\($B_1=B_2=\frac{\mu_0I}{2 \pi L}$\)

The angle θ is

\($\theta = \cos^{-1}\frac{h}{L}$\)

The net magnetic field at point P is

\($B_{net}=\left(\frac{\mu_0I}{2 \pi L}\right)\left(\frac{h}{L}\right)+\left(\frac{\mu_0I}{2 \pi L}\right)\left(\frac{h}{L}\right)$\)

       \($=\frac{\mu_0 Ih}{\pi L^2}$\)

a). The direction of the current for both the wires is from north to south. The net magnetic field is towards the right when we are facing south.

\($B_{net}=\frac{\mu_0 Ih}{\pi L^2}$\)

       \($=\frac{\mu_0I L}{\pi \left(\sqrt{h^2+(d/2)^2\right)^2}}$\)

       \($=\frac{4 \pi \times 10^{-7} \times 100 \times 15}{\pi \left(\sqrt{15^2+(3/2)^2\right)^2}}$\)

       \($=2.64 \times 10^{-6} \ T$\)

The direction is towards the west.

b). Since, both the magnetic field are equal and opposite, so no magnetic field is produced.

Migratory birds use Earths magnetic field to guide them. Some people are concerned that human-caused

ASTRONOMY!!!
Towards the end of her Ted Talk, Ghez says, "it's actually like looking at a pebble at the bottom of a stream." What is meant by this?

Answers

Ghez's statement about "looking at a pebble at the bottom of a stream" refers to the difficulty of observing and studying black holes.

Ghez is referring to the fact that black holes are incredibly dense and have an intense gravitational pull that makes it difficult to observe them directly. Instead, scientists must infer their presence through the effects they have on nearby stars and other matter.

This requires extremely sensitive instruments and sophisticated techniques, much like trying to spot a pebble at the bottom of a stream. The comparison emphasizes the challenges involved in studying black holes and highlights the incredible achievements of Ghez and her colleagues in doing so.

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Suppose a 61.5 kg gymnast climbs a rope. what is the tension in the rope if she climbs at a constant speed?

Answers

Answer:

T = M g         as long as M is not being accelerated

The tension will be the weight of mass M if it is moving at a constant speed (note zero is a special case of constant speed)

T = 61.5 kg * 9.8 m/s^2 = 603 N

A body has an initial velocity of 12 m s^-1 and is brought to rest over a distance of 45 m. What is the acceleration of the body?

Answers

Answer:

-1.46 m/s^2

Explanation:

Write down what is given first:

v0 = 12 m/s

vf = 0 m/s

d = 45 m

We are trying to find acceleration, so we will use the equation vf^2 = v0^2 + 2ad

Plug in the values we have:

0^2 = 12^2 + (2 x 45 x a)

a = - 1.46 m/s^2

Note that this acceleration is negative because the body is slowing down, so the acceleration with be negative, because the change in velocity is negative.

According to the given statement - 1.46 m/s²  is the acceleration of the body.

What is a acceleration explain?

Acceleration is the rate of change in a moving asteroid's speed and direction over time. When something moves faster or slower, it is considered to be accelerating.

How is acceleration determined?

Use the formula a = v / t to determine acceleration, where v stands for the change in velocity and t for the time it took for the change to take place. Use the formula v = vf - vi to determine v, where vf stands for final velocity and vi for starting velocity.

Briefing:

Write down what is given first:

v0 = 12 m/s

vf = 0 m/s

d = 45 m

We are trying to find acceleration, so we will use the equation

vf² = v0² + 2ad

Plug in the values we have:

0² = 12² + (2 x 45 x a)

a = - 1.46 m/s²

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What is the speed of a wave on a stretched string with a mass of 2.5 kg, with a length of 0.25 m, if the force of tension on the string is 20 N?​

Answers

Answer: 1.4

Explanation:

2.5/.25 = 10

sqrt(20/10) =1.4

The speed of the wave on the stretched string is 1.41 m/s.

To calculate the speed of the wave, we use the formula below.

Formula:

V = √(TL/m).............. Equation 1

Where:

V = speed of the stringT = TensionL = Length of the stringm = mass of the string.

From the question,

Given:

T = 20 NL = 0.25 mm = 2.5 kg

Substitute these values into the equation 1

V = √(20×0.25/2.5)V = √(2)V = 1.41 m/s

Hence, the speed of the wave on the stretched string is 1.41 m/s.

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A motorbike undergoes a constant acceleration from rest and travels a distance
of 60 m in 6.0 s.
What is the acceleration of the motorbike?

Answers

Acceleration equals velocity/time. We have time, 6 seconds; but need to find velocity. Using kinematic equations we know velocity equals distance/time. Our distance is 60m and our time is 6s. Giving us a velocity of 60m/6s = 10m/s. Now we input our velocity and our time values into our acceleration equation.
a = v/t. 10m/s / 6s = 60m/s.

hydrostatic pressure force always acts on the centroid of the area. true false

Answers

False. Hydrostatic pressure force does not always act on the centroid of the area.

The statement that hydrostatic pressure force always acts on the centroid of the area is false. Hydrostatic pressure is the pressure exerted by a fluid at rest due to the weight of the fluid above it. It depends on the depth and density of the fluid and is perpendicular to any surface it acts upon.

When considering a submerged surface, such as a submerged plate or wall, the hydrostatic pressure force is indeed applied normal to the surface. However, this force does not necessarily act at the centroid of the area. The distribution of hydrostatic pressure forces depends on the shape and orientation of the surface.

For irregularly shaped surfaces or surfaces with varying depths, the hydrostatic pressure force acts differently at different points. It follows the principle of Pascal's law, which states that the pressure at a point in a fluid is transmitted equally in all directions. As a result, the force distribution can vary across the surface.

In summary, the hydrostatic pressure force does not always act on the centroid of the area. Its distribution depends on the shape, orientation, and depth of the submerged surface, following the principles of Pascal's law.

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In a physics lab, you apply a 34.5 N rightward
force to a 4.52 kg cart to accelerate it across a
horizontal surface at a rate of 1.28 m/s/s.
Determine the friction force acting upon the cart
and coefficient of friction.

Answers

Answer:

Explanation:

The frictional force is

=

28.71

N

Explanation:

Let

F

r

=

frictional force

and

F

=

the force applied

The net force acting on the object is

(

F

F

r

)

By Newton's second Law

(

F

F

r

)

=

m

a

where,

a

=

the acceleration

and

m

=

mass of the cart

So,

F

F

r

=

m

a

F

r

=

F

m

a

=

34.5

4.52

1.28

=

28.71

N

Find the magnitude of the acceleration of the block after the system is released from rest.
Express your answer in terms of the variables , , and appropriate constants.
ANSWER:
ablock = 3.27

Answers

The magnitude of the acceleration of the block after the system is released from rest is: ablock = 3.27

What is magnitude?

Just as the magnitude of an earthquake indicates its strength, the magnitude of a mathematical term indicates its magnitude. In mathematics, this means how far a mathematical term is from zero.

For numbers like 1, 2, 3, the magnitude is simply the number itself. If the number is negative, the magnitude is the absolute value of the number. For example, the magnitude of 10 is 10. The magnitude of -10 is the absolute value of -10, which is 10. In both cases, the magnitude is the distance from zero of the mathematical term. Both 10 and -10 are 10 distances from zero.

Thus, The magnitude of the acceleration of the block after the system is released from rest is: ablock = 3.27

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A company is creating an advertisement for colored contact lenses. In the ad, the company wants to include the
phrase "Each contact lens is like a second
Which part of the eye would be most accurate in completing the phrase?
retina
sclera
iris
pupil

Answers

iris—thats the colored part

Answer:

option C) the iris

Explanation:

2023

sound and waves plz help

sound and waves plz help

Answers

Answer:

A. f = 8 Hz

B. T = 0.125 s

C. λ = 0.0166 m = 16.6 mm

D. d = 7.98 m

Explanation:

A.

The frequency of the wave can be given as:

\(f = \frac{n.\ of\ waves}{time}\\\\f = \frac{360}{45\ s}\\\)

f = 8 Hz

B.

The time period will be:

\(T = \frac{1}{f}\\\\T = \frac{1}{8\ Hz}\\\)

T = 0.125 s

C.

The wavelength is given as:

\(\lambda = \frac{c}{f}\\\\\lambda = \frac{0.133\ m/s}{8\ Hz}\)

λ = 0.0166 m = 16.6 mm

D.

The distance traveled in 1 minute can be found out as follows:

\(c = \frac{d}{t}\\\\d = c\ t\\d = (0.133\ m/s)(60\ s)\)

d = 7.98 m

Suppose you graphS i n open parentheses theta subscript 1 close parenthesesVs.S i n open parentheses theta subscript 2 close parenthesesand get a slope m = 0.413. If the second material is air (n2 = 1.0003), use equation 2 in the manual to calculate n1.
n1 = 1
n1 = 2.42
n1 = 1.46
n1 = 1.47
n1 = 1.49
n1 = 0.413

Answers

The equation mentioned in the manual is:

m = (n2/n1) * (cos(theta1)/cos(theta2))

n1 = 2.42

What is the value of n1 if the slope obtained from the graph of sin(theta1) vs. sin(theta2) for two materials (one of which is air with n2 = 1.0003) is m = 0.413, according to equation 2 in the manual?

The equation mentioned in the manual is:

m = (n2/n1) * (cos(theta1)/cos(theta2))

where m is the slope obtained from the graph of sin(theta1) vs. sin(theta2), n1 and n2 are the refractive indices of the two materials, and theta1 and theta2 are the angles of incidence and refraction, respectively.

In this problem, we have n2 = 1.0003 (since the second material is air). We also know that sin(theta1) = sin(theta2), since the graph is of sin(theta1) vs. sin(theta2). Therefore, cos(theta1) = sqrt(1-sin^2(theta1)) = sqrt(1-sin^2(theta2)) = cos(theta2).

Substituting these values into the equation above, we get:

0.413 = (1.0003/n1) * 1

Simplifying this expression, we get:

n1 = 1.0003/0.413 = 2.42

Therefore, the correct answer is n1 = 2.42.

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A runner with a mass of 75 kg is running at a speed of 2 m/s. What’s the kinetic energy of the runner? Write the equation and show your math steps. Circle the mass and underline the velocity.

Answers

Answer:

150 J

Explanation:

Kinetic Energy = 1/2 m v ^2

KE = 1/2 ( 75)(2^2) =  150  kg m^2/s^2 =  150 J

If we drop two iron balls, one ball is bigger than another one, from
same height which will fall first to ground? Explain why.

Answers

Answer:

The bigger one. Ignoring air resistance, they will fall at the same speed, but the bigger one will hit first because it sticks out lower.

Explanation:

Help ASAPP!!!!!
Which of these is measured during a scientific investigation?
Test variable (independent variable)
Outcome variable (dependent variable)
Control group
Hypothesis

Answers

Answer:

A hypothesis predicts the value of a dependent variable given an independent variable:

If a person weighs 50 kg (independent variable) the weight hypothesis predicts that W = 50 * 9.8 = 490 N (the dependent variable)

So those three should be present in an investigation

ultraviolet radiation falls in the wavelength region of to meters. what is the energy of ultraviolet radiation that has a wavelength of m? energy

Answers

the energy of ultraviolet radiation that has a wavelength is 6.95*\(10^{-19}\) kj/photon

calculation :

1.E =hc/λ

λ = hc/E

 = \(\frac{6.6626*10^{-34}*3*10^{8} }{1.99*10^{-19} }\)

 = \(1.0*10^{-8}m\)

2 . E =hc/λ

    λ = hc/E

       =  \(\frac{6.6626*10^{-34}*3*10^{8} }{3.97*10^{-19} }\)

      = 501 nm

3 . λ = 286 nm

     E =hc/λ

        =   \(\frac{6.6626*10^{-34}*3*10^{8} }{286}\)

        =  6.95*\(10^{-19}\) kj/photon

In physics, energy is the quantitative property transmitted to the body or physical system, perceived in the performance of work and in the form of heat and light. Energy is Conserved - The law of conservation of energy states that energy can be transformed into form, but cannot be created or destroyed. The unit of measure for energy in the International System of Units (SI) is the joule (J).

Common forms of energy include the kinetic energy of moving bodies, the potential energy stored in bodies (due to their position in the field, etc.), the elastic energy stored in fixed bodies, the chemical energy associated with chemical reactions, Radiant energy carried by electromagnetic radiation and internal energy contained in thermodynamic systems. All living things absorb and emit energy all the time.

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Copper (II) chloride reacts with magnesium nitride

Answers

Answer:

I don't know

Explanation:

because I'm not smart

What two classifications would scientists give to a rock that is dark, made of pyroxene, and was formed by magma that took a long time to cool?

What two classifications would scientists give to a rock that is dark, made of pyroxene, and was formed

Answers

Answer: That is an igneous rock and if they harden it is extrusive

A measurement of a change
in distance over time

Answers

Explanation:

Speed is the rate of change of distance with time.
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