Copenhagen is located 780 km North and 810 km East of Paris. A flight from Paris to Copenhagen takes two hours. Typically the wind blows from East to West over Europe, but the speed varies. For one particular flight, the wind speed was 165 km/h. What is the magnitude of vpa, the plane's velocity with respect to the air

Answers

Answer 1

Answer:

[tex]V_{pa}=690km/hr[/tex]

Explanation:

In order to solve this problem, we can start by drawing a diagram of what the problem looks like. (See attached picture).

We can treat this as a vector problem, so we can start by finding the velocities of the plane with respect to the earth as it goes north and east. Velocity is found by using the following formula:

[tex]Velocity=\frac{distance}{time}[/tex]

so

[tex]V_{paN}= \frac{780km}{2hr}[/tex]

[tex]V_{paN}=390 km/hr[/tex]

Since air isn't affecting the north direction of the plane, we will keep this as the velocity due north.

Now let's find the velocity of the plane with respect to the earth towards the east:

[tex]V_{pE}=\frac{810km}{2hr}[/tex]

[tex]V_{pE}=405 km/hr [/tex]

In this case, since the wind is blowing from east to west, then it affects directly the velocity of the plane with respect to the earth, so we can use the following formula to determine the Velocity of the plane with respect to the air in the eastern direction:

[tex]V_{paE}-V_{a}=V_{pE}[/tex]

so we can solve this for the velocity of the plane on the air towards the east, so we get:

[tex]V_{paE}=V_{pE}+V_{a}[/tex]

so we get:

[tex]V_{paE}=405 km/hr + 165km/hr[/tex]

[tex]V_{paE}=570 km/hr[/tex]

So now we can use this data to find the velocity of the plane with respect to the air:

[tex]V_{pa}=\sqrt{V_{paN}^{2}+V_{paE}^{2}}[/tex]

so we get:

[tex]V_{pa}=\sqrt{(390km/hr)^{2}+(570km/hr)^{2}}[/tex]

[tex]V_{pa}=690.65 km/hr[/tex]

Copenhagen Is Located 780 Km North And 810 Km East Of Paris. A Flight From Paris To Copenhagen Takes

Related Questions

What type of relationship exists between mass and distance?

Answers

Answer:

Gravitational force

Explanation:

Hope this helps :)

Answer: Gravitational force

Explanation: Gravitational Force is an attractive force that exists between all objects with mass; an object with mass attracts another object with mass; the magnitude of the force is directly proportional to the masses of the two objects and inversely proportional to the square of the distance between the two objects.

a car accelerate at 9 m/s squared. Assuming the car starts from rest how far will it travel in 10 seconds

Answers

Answer:

450m

Explanation:

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 0 + t + \frac{1}{2} a {t}^{2} \\ \frac{1}{2 } \times 9 \times {10}^{2} = 450m[/tex]

An unstrained horizontal spring has a length of 0.26 m and a spring constant of 180 N/m. Two small charged objects are attached to this spring, one at each end. The charges on the objects have equal magnitudes. Because of these charges, the spring stretches by 0.039 m relative to its unstrained length. Determine (a) the possible algebraic signs and (b) the magnitude of the charges.

Answers

Answer:

a)

two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign. both charges are positive(+) or Negative (-)

b)

both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C

Explanation:

Given that;

L = 0.26 m

k = 180 N/m

x = 0.039 m

a)

we know that two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign.

b)

Spring force F = kx

F = 180 × 0.039

F = 7.02 N

Now, Electrostatic force F = Keq²/r²

where r = L + x = ( 0.26 + 0.039 )

we know that proportionality constant in electrostatics equations Ke = 9×10⁹ kg⋅m3⋅s−2⋅C−2

so from the equation; F = Keq²/r²

Fr² = Keq²

q = √ ( Fr² / Ke )

we substitute

q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )

q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )

q =  √ (0.627595 / 9×10⁹)

q = √(6.97 × 10⁻¹¹)

q = 8.35 × 10⁻⁶ C

Therefore both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C

A ball is thrown horizontally from the top of a 73.9-m building and lands 183 m from the base of the building. Ignore air resistance. How long is the ball in the air

Answers

Answer:

t = 3.88 seconds

Explanation:

Given that,

A ball is thrown horizontally from the top of a 73.9-m building and lands 183 m from the base of the building.

We need to find the time for which the ball is in air. Let the time be t.

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

Here, a = -g, [tex]y_o=73.9\ m[/tex] and y = 0

u is initial velocity, u = 0

[tex]y_o=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2y_o}{g}}\\\\t=\sqrt{\dfrac{2\times 73.9}{9.8}}\\\\t=3.88\ s[/tex]

So, the ball is in the air for 3.88 seconds.

what is the mass of a chair that weights 118 Newton’s

Answers

Answer: 6899

Explanation:

The mass of a chair that weighs 118 Newtons is 12.04kg

HOW TO CALCULATE MASS:

The mass of a substance can be calculated by dividing the weight of the substance by its acceleration due to gravity as follows:

Mass = weight ÷ acceleration

According to this question, the mass of a chair weighs 118 Newtons. It can be calculated as follows:

Mass = 118N ÷ 9.8m/s²

Mass = 12.04kg

Therefore, the mass of a chair that weighs 118 Newtons is 12.04kg.

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Hanna is fascinated by the development of factories and the history of mass production. Which type of society BEST fits Hanna's interests?

A. hunting and gathering society

B. industrial society

C. agrarian society

D. horticultural society

Answers

Answer:

B

Explanation:

Industrial Society

a car travels 15 kilometers in 30 minutes. what is the speed of the car​

Answers

45 is the answer hope this helps

What are two ways electromagnetic waves are used in a home computer scanner?

A.
An image is produced when a silicon chip releases electrons by the photoelectric effect.

B.
Visible light is reflected off an object and then captured by a charge-coupled device.
C.
X-rays shine on objects, and the rays either pass through or are absorbed by the objects.
D.
Red light shines on a black-and-white object, and light is reflected according to the pattern of black and white.

Answers

Two ways electromagnetic waves are used in a home computer scanner are:

An image is produced when a silicon chip releases electrons by the photoelectric effect.Visible light is reflected off an object and then captured by a charge-coupled device.What is  electromagnetic wave?

In terms of science, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel over space while carrying electromagnetic radiant energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum.

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light in a vacuum.

Hence, option (A) and (B) are correct.

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A human is lifting their arm against the force of gravity using only the biceps brachii. The muscle inserts 0.04 m from the joint axis of rotation, and generates a force of 55 N. The mass of the forearm & hand is 1.84 kg, the center of mass is located 0.11 m from the joint axis, and the moment of inertia is 3.4 kg m2. Assume the arm is at the right angle.

Required:
a. What is the net torque at the elbow joint?
b. What is the angular acceleration of the forearm?
c, What force would the biceps need to generate to keep the hand steady?

Answers

Answer:

a) ∑ tau = - 1.9965 N m , b) α = 0.587 rad / s²,  c) F₁ = 5.09 N

Explanation:

a) the torque is given by the expression

             Σ τ = Σ F x r

for this case we assume that the counterclockwise rotations are positive

             

In the problem, the right arm F₁ = 55 N applied at a distance x₁= 0.04m and the weight of the forearm mass W = 1.84 kg applied to x₂ = 0.11 m gives us two forces, this force has to create a rotation counterclockwise thereby creating positive torque

           ∑ tau = -F₁ x₁ + W x₂

           ∑ tau = - 55 0.04 + 1.85 0.11

           ∑ tau = - 1.9965 N m

b) the angular acceleration can be obtained from Newton's second law for rotations

          τ = I α

           α = τ/I

           α = 1.9965 / 3.4

           α = 0.587 rad / s²

c) what is the strength of the biceps to maintain balance

           ∑ τ = 0

           -F₁ x₁ + W x₂ = 0

            F₁ = [tex]\frac{x_{2} }{ x_{1} }[/tex]  W

            F₁ = [tex]\frac{0.11}{0.04}[/tex]  1.85

            F₁ = 5.09 N

Which scenario is best illustrates the concept of illusory correlation?
A. A person insists that there is no way to determine whether or not
any two events are actually correlated.
B. A person believes crossing his fingers brings good luck despite
studies demonstrating that it does not.
O C. A person argues that the mood swings he often has on rainy days
prove that weather affects human emotions.
O D. A person criticizes a scientific study for reaching a definitive
conclusion about data based on a weak correlation.

Answers

Answer:

A person believes crossing his fingers brings good luck despite studies demonstrating that it does not.

Explanation:

Hope it helps!

Write a paragraph describing Newton's 2nd Law in YOUR OWN WORDS.

Answers

Explanation:

if u apply more force to an object, it accelerates at a higher rate

What can be said about all atoms in an element

Answers

Answer:

All atoms have a dense central core called the atomic nucleus. Forming the nucleus are two kinds of particles: protons, which have a positive electrical charge, and neutrons, which have no charge. All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.

Explanation:

A vector A~ has a negative x component 2.89 units in length and a positive y component 3.17 units in length. The vector A~ can be written in unit vector notation: a1ˆı + a2ˆ. Find the value of (a) a1 (units) (b) a2 (units) (c) What is the magnitude of A~ (units)? (d) What is the direction of A~ (degrees)? 1

Answers

Answer:

a1 = -2.89 units

a2 = 3.17 units

magnitude = 4.2896 units

direction = 132.35 degrees

Explanation:

We can write the vector in component form as: <-2.89, 3.17>

That means that its i and j components are:

a1 = -2.89 units

a2 = 3.17 units

The magnitude of the vector is given by:

[tex]\sqrt{(-2.89)^2 +3.17^2} \approx 4.2896[/tex]

The vectors direction can be found from the tangent function, ad noticing that the vector must reside on the Second Quadrant:

[tex]arctan(-3.17/2.89) + 180^o\approx 132.35^o[/tex]

A roller coaster car of mass 90 kg has two people seated in it whose combined mass is 130 kg. If the height of point A from the ground is 80.0 m, determine the potential energy of the car with the people in it at A.

172 kJ
70.6 kJ
17.6 kJ
86.2 kJ

Answers

Oh yeah lol yeah yeah oh okie oh

convert 7.6 meters to milemeters​

Answers

1 m = 1000 mm

So, 7.6 m = 7.6 × 1000 mm = 7600 mm

the answer would be 7600 millimeters

Define each law of motion in
your own words.

Answers

If the net force applied to an object is 0, an object does not change its motion or acceleration.

1.
In the notation, 1s2, the number 1 represents the ________ __________ where electrons are located.
energy level
outer shell
2.
The four parts, or blocks, on the periodic table are _____, _____, d, and f.
s, p
a, b
3.
The 2 in 1s2 represents the number of __________ located in that energy level.
electrons
protons

Answers

Answer:

energy level

s,p

electrons

Explanation:

I already done this trust me

In the notation 1 s² number 1 represents energy levels where electrons are located.The 4 parts on periodic table are s,p,d and f blocks.The 2 in 1 s² represents number of electrons in energy level.

What is an energy level?

Electrons present in an atom revolve in different orbits which are stationary states and are also called as energy levels. The energy levels are numbered as integers which are also called as principal quantum numbers.

Energy of the stationary state is given as E= -R

1/n² where R

is the Rydberg's constant. When an electron is excited, and it moves from lower to higher energy levels there is absorption of energy, while when it moves from higher energy level to lower energy level it radiates or gives out energy in the form of radiation.

They can also be defined as the distances between electron and nucleus of an atom . Electrons present in K energy level have least energy .Energy level diagrams are studied to understand nature of bonding , placement of electrons in orbits and and elemental behavior under certain conditions.

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Chirag, a champion weightlifter, raises 259 kg of weights a distance of 2.40 m. How much work is done by Brutus lifting the weights?

622 J
6090 J
2540 J
0 J

How much work is done by Chirag holding the weights above his head?
622 J
6090 J
2540 J
0 J

Answers

1.

6090 J

2.

622 J

I bet so~

The answers are
1.6090j
2.622j

The Moon has a mass of 7.36 1022 kg and a radius of 1.74 106 m. (a) What is the acceleration due to gravity on the Moon

Answers

Answer:

1.622m/s²

Explanation:

Given the following

mass of 7.36 × 10²² kg

Radius r = 1.74×10^6m

Gravitational constant G = 6.67×10^-11

Acceleration due to gravity us expressed as:

g = GM/r²

Substitute the given values into the formula

g = 6.67×10^-11×7.36 × 10²²/(1.74×10^6)²

g = 49.0912×10¹¹/3.0276×10¹²

g = 16.22×10^{11-12}

g = 16.22×10^-1

g = 1.622m/s²

Hence the acceleration due to gravity on the Moon is 1.622m/s²

In an element's square on the periodic table, the number with the greatest numerical value represents the
number of neutrons.
O number of electrons.
88
atomic nunner.
O atomic mass.

Answers

Answer:

0 atomic mass because it widens as the numerical value represents

Answer: ATOMIC MASS

Explanation:

I got it right

Write down short notes on:
b. Nuclear energy​

Answers

Answer: Nuclear energy is energy in the nucleus (core) of an atom.

Explanation: Atoms are tiny particles that make up every object in the universe. ... In nuclear fission, atoms are split apart to form smaller atoms, releasing energy. Nuclear power plants use nuclear fission to produce electricity.

A rough surface for infrared waves may be polished for

Answers

Answer:

Radio Waves

Explanation:

what is physical quantity​

Answers

Answer:

physical quantity is a property of a material or system that can be qualified by measurement

[tex] \huge\mathfrak{ANSWER}[/tex]

the quantities by meals of which we describe the law of physics are known as physical quantities.

in order to measure a physical quantity we as you my certain magnitude of this quantity a standard and call its unit of that quantity to express the measurement of any physical quantity two thing must be mentioned.

the unit in which the quantity is measured.the numerical value which do not the magnitude of that quantity in term of the choosen unit.

For Example -:

when we say that the length of a road is 20 m its mean that the unit of length is matter and the length of rod 20 time magnitude of metre.in other number the numerical value of physical quantities inversely proportional to its unit if N1 and N2 be the numerical value of a physical quantity into different unit u1 and u2 then

[tex] \bold{ n_1 (u_1) = n_2(u_2)}[/tex]

When the strings of a violin are plucked, they vibrate. These vibrations are transferred to
particles in the air. What kind of energy do these vibrating particles have?
o electrical energy
O mechanical energy
O chemical energy
O nuclear energy

Answers

Answer:

skalarna wielkość fizyczna charakteryzująca stan układu fizycznego (materii)

jako jego zdolność do wykonania pracy

mechanical energy is the answer

A caterpillar crawls 20 feet in 5 minutes. What is the caterpillars crawling speed?
Equation needed:

Answers

The equation is
s= d/t

In this case you would have to write it out as:
s= 20/5
Speed = 4

a mechanic uses a hydraulic lift to raise a 1,200 kg car 0.50 m off the ground . how much work does the lift do on the car

Answers

Answer:

The work done is 5880 J

Explanation:

Recall the formula for work as force times distance, therefore in this case the force is that oppose to the gravitational force on the car(of magnitude m * g), and the distance is 0.5 meters.

Then:

Work = 1200 * 9.8 * 0.5 J = 5880 J

A problem says a car is initially driving 19.4 m/s due north. Which one of these tables includes that information correctly? ​

Answers

Answer: B

Explanation: because x is 19.4 and then the y is m/s north

In a closed system, change in internal energy is 10 J and heat transferred to it is 10 J what is the work done by the system

Answers

Given :

Change in internal energy is, ΔE = 10 J.

Heat transferred to the system is, Q = 10 J.

To Find :

The work done by the system.

Solution :

We know, by 1st law of thermodynamics :

ΔE = W + Q

W = ΔE - Q

W = 10 - 10 J

W = 0 J

Therefore, work done by the system is 0 J.

Which way will the people on the right move? Why? Plz answer

Answers

Probably to the right because the force on the left is greater and will therefore overpower the 2N force and push to the right

A 1kg sphere rotates in a circular path of radius 0.2m from rest and it reaches an angular speed of 20rad/sec in 10 second calculate the angular acceleration​

Answers

Answer:

2 rad/s²

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 1 Kg

Radius (r) = 0.2 m

Angular speed (w) = 20 rad/s

Time (t) = 10 s

Angular acceleration (a) =?

Angular acceleration is defined as:

Angular acceleration (a) =Angular speed (w) / time

a = w/t

With the above formula, we can obtain the angular acceleration of the sphere as follow:

Angular speed (w) = 20 rad/s

Time (t) = 10 s

Angular acceleration (a) =?

a = w/t

a = 20 / 10

a = 2 rad/s²

Thus, the angular acceleration of the sphere is 2 rad/s²

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