An airplane is flying with velocity of 70km\hr in north east direction .The wind is blowing 30km\hr from north to south.What is the resultant displacement of the aeroplane in 4 h

Answers

Answer 1

Answer:

The resultant displacement of the airplane in 4 hours is 212.8 km.

Explanation:

The components of the airplane's velocity and wind's velocity are:

Airplane:

[tex] v_{a_{x}} = v_{a}cos(45) = 70 km/h*cos(45) = 49.50 km/h [/tex]

[tex] v_{a_{y}} = v_{a}sin(45) = 70 km/hsin(45) = 49.50 km/h [/tex]

Wind:

[tex] v_{w_{x}} = 0 [/tex]

[tex] v_{w_{y}} = v_{w} = -30 km/h [/tex]

Now, to know the new velocity of the airplane we to find the result vector:

[tex] v_{x} = v_{a_{x}} + v_{w_{x}} = 49.50 km/h + 0 = 49.50 km/h [/tex]

[tex]v_{y} = v_{a_{y}} + v_{w_{y}} = 49.50 km/h - 30 km/h = 19.50 km/h[/tex]  

Now, the magnitude of the new speed of the airplane is:

[tex] v_{a} = \sqrt{v_{x}^{2} + v_{y}^{2}} = \sqrt{(49.50 km/h)^{2} + (19.50 km/h)^{2}} = 53.20 km/h [/tex]

Finally, after 4 hours the resultant displacement of the airplane is:

[tex] x = v*t = 53.20 km/h*4 h = 212.8 km [/tex]

Therefore, the resultant displacement of the airplane in 4 hours is 212.8 km.

I hope it helps you!                                        


Related Questions

An automobile travels a displacement of 75 km at 45 degrees north of East. How many kilometers north does it travel?

Answers

Answer:

the number of kilometers north it traveled is 53.03 km

Explanation:

The computation of the number of kilometers north it traveled is shown below:

Given that

The Displacement of 75 km

At east north of 45 degrees

Based on the above information, the number of kilometers is

= 75 × cos 45

= 53.03 km

Hence, the number of kilometers north it traveled is 53.03 km

We simply applied the above formula so that the correct value could come

And, the same is to be considered

You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate.

Answers

Answer:

B food coloring will move quicker in hot water because the molecules move faster when they are hot

Explanation:

SCIENCE! aaaaand my physics text book

Option B is correct:  The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.

Kinetic energy of the molecules:

According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.

Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.

High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.  

So the cup which has water at a higher temperature will have a faster spread of the food coloring.

Learn more about kinetic energy:

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Uniform Circular Motion: You need to design a wheel for testing purposes such that its rim will have an acceleration of 1.5 g when the rim is moving at 37 m/s while spinning. What should be the diameter of this wheel?

Answers

Answer:

We want to have an acceleration of:

A = 1.5*g = 1.5*9.8m/s^2  = 14.7 m/s^2

When the rim is moving at 37m/s while spinning.

Now, in circular motion we have two accelerations.

Tangential acceleration, that is the one related to the change of speed, as we have a speed of 37m/s, we can assume that is constant, then the tangential acceleration is zero.

Centripetal acceleration, is the one related to the change in direction, is perpendicular to the velocity vector and is the one that allows the circular motion.

I suppose that in this problem we want to have a  centripetal acceleration of 14.7m/s^2

The equation for the centripetal acceleration is:

Ac = v^2/r

Where v = velocity and r = radius.

then we must solve:

14.7m/s^2 = (37m/s)^2/r

r = (37m/s)^2/14.7m/s^2 = 93.13 m

May someone please help?
Air is cooled and
becomes
[denser/less dense).
Less dense air
[rises/sinks).
Denser air
(rises/sinks).
The process repeats, producing a
Air is heated and
becomes
[denser/less dense]
within the gas

Answers

Air is cooled and

becomes denser.

Denser air sinks.

The process repeats, producing a (i wasn't sure about this one)

Air is heated and becomes less dense.

Less dense air rises.

hope this helps!

The yoga term asanas are which of the following?
A.
The yoga breathing method.
B.
The yoga term for mediation.
C.
The yoga term for exercises or poses.
D.
The yoga term for spiritual enlightenment.

Answers

Answer:

i guss its A

Explanation:

An electric heater is rated 1000watts. If a current of 5A pass through the heater, find the value of its resistance.​

Answers

Answer: R=40 Ω

Explanation: [tex]P=I^{2} R[/tex]

R=1000/ (25)=40

Ahmad is riding his bicycle. He finds that he can accelerate from rest at 0.44 m/s^2 for 5 s to reach a speed of 2.2 m/s. The total mass of Christian and his bicycle is 54 kg. Later, he straps some cargo onto the back of his bicycle. The mass of the cargo is 12 kg.• Calculate the force that Christian can exert on his bicycle before picking up the cargo and exerts the same force on his bicycle.

Answers

Answer:

1) The force Christian can exert on his bicycle before picking up the the cargo is 529.74 N

2) The force Christian can exert on his bicycle after picking up the the cargo is 647.46 N

Therefore, Christian has to exert more force on his bike after picking up the cargo

Explanation:

The given parameters are;

The mass of Christian and his bicycle = 54 kg

The mass of the cargo = 12 kg

1) The force Christian can exert on his bicycle before picking up the the cargo = Mass of Christian and his bicycle × Acceleration due to gravity

∴ The force Christian can exert on his bicycle before picking up the the cargo = 54 kg × 9.81 m/s² = 529.74 N

2) The force Christian can exert on his bicycle after picking up the the cargo = (54 + 12) kg × 9.81 m/s² = 647.46 N

Therefore, Christian has to exert more force on his bike after picking up the cargo.

A cork floats on the surface of an incompressible liquid in a container exposed to atmospheric pressure. The container is then sealed and the air above the liquid is evacuated. The cork:

Answers

Question:

A cork floats on the surface of an incompressible liquid in a container exposed to atmospheric pressure. The container is then sealed and the air above the liquid is evacuated. The cork:

A. sinks slightly  

B. rises slightly  

C. floats at the same height  

D. bobs up and down about its old position

Answer:

The correct answer is C)  floats at the same height  

Explanation:

The liquid is incompressible because its density very high and leaves no room for further compaction whether or not there is atmospheric pressure. So when you put a cork on the liquid, pressure or no pressure, there is no displacement hence it floats on the same height regardless of the absence of air.

Cheers!

the mass of the whole object is equal to the sum of all its parts A. Law of Conservation of Energy B. Law of Conservation of Mass C. Law of Conservation of Weight

HELP PLEASE ILL GIVE YOU BRAINLIEST OR WHATEVER AND LIKE 30 POINTS JUST PLEASE ANSWER ME​

Answers

Answer:

B. Law of Conservation of Mass

Explanation:

In other words, the mass of any one element at the beginning of a reaction will equal the mass of that element at the end of the reaction. If we account for all reactants and products in a chemical reaction, the total mass will be the same at any point in time in any closed system.

Snails crawl very slowly. If a garden snail crawls at 0.013 m/s north, how far will it travel in 60 seconds?

Answers

Answer:

.78 m/s north

Explanation:

Pls give brainliest if I correct

How do you solving kinematic equations for horizontal projectiles?

Answers

See projectiles are very simple unless you understand its core concepts....projectile is nothing just mixture of upward motion and horizontal motion....
THE KEY IS FORGET THE NAME PROJECTILE...ITS JUST HORIZONTAL MOTION + VERTICAL MOTION

what is the direction of the sum of these two vectors? ​

Answers

Answer:

what is the direction of the sum of these two vectors?

Answer:

69.6

Explanation:

Ax= 0

Ay= 63.5

Bx= 101 cos 57= 55.009

By= 101 sin 57= 84.706

Tan-1 = (84.706/55.009)

         = 69.6

In which of the following instrument is the image that is formed erect
a. Pin hole camera b. Simple camera c. microscope d. periscope​

Answers

Answer:

C. microscope

Explanation:

A simple microscope is magnifying glass, an ordinary double convex lens having a short focal length that produces virtual and erect image.

Betsy created the following mnemonic device to help her remember the order of the planets starting from the Sun: “Most Very Elegant Mammals Sleep Just Until Noon”. Why doesn’t her mnemonic work?
a) She has Saturn and Jupiter in the wrong order.
b) She has Mercury and Venus in the wrong order.
c) She has Uranus and Neptune in the wrong order.
d) She has Earth and Mars in the wrong order.

Answers

Answer:

A

Explanation:

The order of the planets in the solar system, starting nearest the sun and working outward is the following: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

UWU plz help 50 points!!
A sprinter accelerates from the starting blocks with an acceleration of 2.5 m/s/s. They accelerate for a total of 8 seconds.
a. How far will they run while accelerating? Explain how you found your answer.
b. How fast are they moving after those 8 seconds? Explain how you found your answer

Answers

Answer:

i think its 20m for b

Explanation:

I will mark a brainluest, And good ponits, Please help me out​

Answers

Answer:

gas, liquid and the last one is opaque solid

Explanation:

Answer:

gas, liquid and the last one is opaque solid

Explanation:

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!

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!

Calculate Vector component in Y if the hypotenuse is 32 and angle is 45

Answers

Answer:

The correct option is;

c. 22.6

Explanation:

The given parameters are;

The hypotenuse of the vector = 32

The angle of the vector = 45°

Therefore, the vector component in the y-axis is given as follows;

[tex]v_y = v \times sin(\theta)[/tex]

Substituting the values from the question gives;

[tex]v_y = 32 \times sin(45^{\circ}) \approx 22.6[/tex]

The vector component in the y-axis, [tex]v_y[/tex], is approximately 22.6.

How to Calculate weight

Answers

Answer:

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.

Explanation:

which two actions would strengthen an electromagnet?

A. Add and ammeter into the circuit.
B. Decrease the size of the permanent magnet in the circuit.
C. increase the number of wraps of wire around the core.
D. Replace the magnetic core with aluminum nails.
E. Connect a second battery in the circuit.

please help!!!!, ONLY ANSWER IF YOU KNOW IT

Answers

Answer:

C. increase the number of wraps of wire around the core.

E. Connect a second battery in the circuit.

Explanation:

got the question current on a p e x

increase the number of wraps of wire around the core and Connect a second battery in the circuit are the two actions would strengthen an electromagnet.

what are the types of wiring ?

The  distribution electrical power  through wires in a perfect manner inside a building or a room with better load control is known as electrical wiring.

Different types of wiring such as Tee system or Joint box system where the connection of appliances is done with this wiring, which does not  consume too much cable size.

Loop-in system means the system is used in lamps and other appliances are parallelly connected so that each appliance is controlled individually.

Cleat Wiring consists of ordinary VIR or PVC insulated wires is compounded on walls and ceilings by means of porcelain cleats, wood, or plastic, temporary system and is not suitable for domestic usage. For example, used in an under-construction building.

For more details wire, visit

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In a perfectly insulated container of negligible mass, 4.00 × 10−2 kg of steam at 100◦C and atmospheric pressure is added to 0.200 kg of water at 50.0◦C.
A) If no heat is lost to the surroundings, what is the final temperature of the system? B) At the final temperature, how many kilograms are there of steam and how many of liquid water?

Answers

Answer:

Following are the solution to this question:

Explanation:

Given value:

[tex]m_s= 4.00 \times 10^{-2} \ kg \\\\L_v=2256 \times 10^{3} \ \frac{J}{kg}\\\\m_w= 0.2 \ kg\\\\\Delta T= 50^{\circ}[/tex]

In point A:

[tex]Q_{Steam}=m_s \ L_v[/tex]

            [tex]=0.04 \times 2256 \times 10^{3}\\\\=9.02 \times 10^4 \ J[/tex]

[tex]Q_{water}= m_w \ c_w \ \Delta T\\\\[/tex]

           [tex]=0.2 \times 4190 \times 50\\\\=4.19 \times 10^4 \ J[/tex]

[tex]Q_{steam}> Q_{water}[/tex], that's why the final temperature is [tex]= 100^{\circ}[/tex]

In point B:

[tex]\to \Delta m_s L_v=m_w\ c_w \Delta T\\\\\to \Delta m_s \times 2256\times 10^3= 0.2 \times 4190 \times 50\\\\\to \Delta m_s= 1.86 \times 10^{-2} \ kg\\\\\to m_s = 2.14 \times 10^{-2} \ kg\\\\\to liquid \ left = 0.2+ 2.14 \times 10^{-2} = 2.34 \times 10^{-2} \\[/tex]

An airplane flies north at 300.0 km/h relative to the air and the wind is blowing south at 15.0 km/h. What is the airplane’s velocity relative to the ground? *

315 km/h North
15 km/h south
285 km/h North
300 km/h South

Answers

Answer:

285

Explanation:

read and alot jbgdxtffhgdae


can somone pls help me??!! i’m very stuck

Answers

Answer:

R

Explanation:

Her distance from home and Time increase

the stops when she gets to the library

then her distance from home decreases while her time increases

PLEASE HELP IF YOU KNOW THE ANSWER QUICK PLEASE!!!

Answers

Answer:

d

Explanation:

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?

Which phrase best describes the dorsal nerve cord?

A. A group of interconnected neurons that enables response to stimuli
B. A group of similar nerve cell bodies grouped together
C. A stiff, nonconducting rod that develops down the back of all chordate embryos
D. A thick grouping of nerves that runs down the back of the embryo

Answers

Answer:

D

Explanation:

I t0ook the test and chose B and it was wrong and the answer was D.

Answer:

A thick grouping of nerves that runs down the back of the embryo

Explanation:

If the astronaut from question #9 collides with a satellite and comes to a complete stop, where did his momentum go? Explain this in terms of conservation of momentum.

Answers

Answer:

    m v ´- MV = (m + M) v ’

Explanation:

If the astronaut initially has a speed v the satellite has a speed V, we can define a system that is formed by the two bodies, therefore the forces during the collision are internal, so the momentum is conserved

initial instant. Before the crash

          p₀ = m v - MV

final instatne. After the crash, we have two cases

1) inelastic shock

          m_f = (m + M) v '

          p₀ = p_f

         m v ´- MV = (m + M) v ’

2) elastic collision with the astronaut's velocity, zero in this case the moment remains

        m v - MV = mv ’+ Mv’

also the kinetic energy is conserved

       mv'2 + M V2 = mv'2 + m v'2

with these two equations we can find the speed of the cars

I will give 14 points & make you the brainiest
Terrestrial planets are primarily composed of what two materials?

a. hydrogen and helium

b. silicate rocks and metals

c. frozen water and methane

d. helium and iron

Answers

Answer:

B. silicate rocks and metals

Terrestrial planets, such as Earth, are primarily composed of silicate rocks and metals. The correct answer is b. silicate rocks and metals.

Silicate rocks, which are made up of silicon and oxygen, are the dominant building blocks of these planets. They include minerals like quartz, feldspar, and mica. Terrestrial planets contain significant amounts of metals such as iron, nickel, and other heavy elements. These metals are found in the planet's core, providing structural strength and contributing to the planet's magnetic field.

This composition differentiates terrestrial planets from gas giants like Jupiter and Saturn, which are predominantly composed of hydrogen and helium. The combination of silicate rocks and metals forms the solid, rocky surfaces that characterize terrestrial planets.

Therefore, The correct answer is b. silicate rocks and metals.

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Two bowling balls, each with a mass of 8.52 kg, are traveling toward each other. Find the total momentum of the system if both balls have a speed of 2.13 m/s, but are traveling opposite of one another.
a. 18.1
b. 36.3
c. 0.0

d. 17.4

Answers

b=36•3

momentum=mass×velocity

The total momentum of the given system is equal to zero. Therefore, option (C) is correct.

What is the law of conservation of momentum?

The linear momentum can be described as the product of the mass times the velocity of that object. Conservation of momentum is a property of an object as the total amount of momentum stays the same.

According to the law of conservation of momentum, the sum of the momentum before and after the collision of the objects must be equal.

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂v₂

where u₁ and u₂ are initial speed while v₁ & v₂ is final speed and m₁ and m₂ is the mass of the collided objects.

The first ball, m = 8.52 g and v = 2.13 m/s

The momentum of the first ball = 18.15 g.m/s

The second ball is moving in the opposite direction w.r.t. first ball,

The second ball, m = 8.52 g and v = - 2.13 m/s

The momentum of the first ball = - 18.15 g.m/s

The total momentum  of the system = 18.15 + (-18.15) = 0

Therefore, the total momentum of the given system is zero.

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