A pilot wishes to fly from airport A to airport B. Airport B is located due south from airport A. The pilots aircraft averages a speed of 160 mi/hr. If the pilot is flying in a wind which blows out of the west at a speed of 40 mi/hr, then the pilot should head his plane in the direction of vector ...

Answers

Answer 1

The pilot should head his plane in the direction of vector of 76⁰.

The given parameters;

velocity of the plane due south, a =160 mphvelocity of the wind west, b = 40 mph

Let the direction of the vector = θ

The direction of the vector can be determined by applying the principle of vector addition;

[tex]tan(\theta) = \frac{v_y}{v_x} \\\\\theta = tan^{-1} (\frac{160}{40} )\\\\\theta = 76 \ ^0[/tex]

Thus, the pilot should head his plane in the direction of vector of 76⁰.

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Related Questions

What is the energy of a 5 kg object that is held at a height of 3 m above the ground?

Formula
substitute
answer

Answers

Answer:

147 Joules

Explanation:

It would be potential energy because it is stored. Potential energy = gravity * mass * height. Gravity is 9.8 m/s² or more specific 9.807 m/s². Potential energy is written in Joules.

9.8 * 5 * 3 = 147 Joules

More specific:

9.807 * 5 * 3 = 147.105 Joules

A rectangular room twice as long as it is wide would contain 145 square feet more if each side were one foA rectangular room twice as long as it is wide would contain 145 square feet more if each side were one foot longer. What is the length of the room

Answers

The length of the room is 96 ft.

Let L be the length of the room and W be the width of the room.

Since the length is twice its width, L = 2W.

Its area A = LW

= 2W × W

= 2W²

If each side were increased by 1 foot, then its new area is A' = (L + 1)(W + 1)

= (2W + 1)(W + 1)

= 2W² + 3W + 1

Since the room would contain 145 ft more if each side were increased by 1 foot, then its new area is A' = A + 145 = 2W² + 3W + 1

2W² + 145 = 2W² + 3W + 1

145 = 3W + 1

3W = 145 - 1

3W = 144

W = 144/3

W = 48 ft.

Since its length L = 2W, substituting W = 48 into the equation, we have

L = 2(48)

L = 96 ft

So, the length of the room is 96 ft.

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PLZZZ HELPPP ASAP
I really need help as soon as possible

Answers

Answer:

Friction

Explanation:

As the toy cars rolls away, more friction is created. The more friction there is, the more friction on surface rubs against another which creates friction which in-term slows it down. Hope this helps.

Choose all the answers that apply.

Light _____.
A. cannot travel through a vacuum
B. slows down when traveling through denser substances
C. speeds up when traveling through more dense substances
D. travels in transverse waves
E. can be absorbed and transformed into heat

Answers

Answer:

B

Explanation:

13. What are some ways that you can conserve energy?

Answers

Answer:

Adjust your day-to-day behaviors.

Replace your light bulbs.

Use smart power strips.

Install a programmable thermostat.

Use energy efficient appliances.

Reduce water heating expenses.

Install energy efficient windows.

Upgrade your HVAC system.

Turn Off Lights and Electronics When You Aren't Using Them. ...

Replace Traditional Light Bulbs with LEDs. ...

Get a Smart Thermostat. ...

Ensure Your Home is Properly Insulated. ...

Put Decorative Lights on a Timer. ...

Identify and Unplug Energy Vampires. ...

Reduce Appliance Use. ...

Use Less Hot Water.

If your friend was on a skateboard and you pushed them with forward (away from your) with a force of 15N, would you feel a force? If so, how much and what direction? *

Answers

Yes. Newton’s third law of motion states every action has an equal and opposite reaction. You would feel a force of 15 N and you would go backwards. This is all assuming you were on a skateboard or were on something where you could move.

Yes.  you would feel a force 20 N towards backward direction due to this.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

"When one body exerts a force on the other body, the first body experiences a force that is equal in size in the opposite direction of the force which is exerted," according to Newton's third law of motion.

Hence, according to Newton's third law of motion, when you pushed them with forward (away from your) with a force of 15N, you would feel a force of equal magnitude (20 N) in opposite direction (backward direction).

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a measure of change in velocity in a measure of time is

Answers

[tex]\\ \sf\Rrightarrow Acceleration=\dfrac{\Delta V}{t}[)tex]

In simplified form

[tex]\\ \sf\Rrightarrow Acceleration=\dfrac{dv}{dt}[/tex]

The rate of change of velocity with respect to time period is called acceleration.SI units-m/s^2

A car moving at 60 mph slams on its brakes to stop before hitting a deer. Another identical car traveling at 60 mph slows to a stop at a stop sign. Who experiences the greatest impulse during the stop

Answers

Happy Holidays!

Recall that:

Impulse = Change in Momentum = mass × change in velocity

Since both cars are identical and have the same initial velocity of 60 mph, them breaking to a stop means that they both experience the same change in velocity.

Thus, both of the cars' impulses are equal.

Explain why stationary waves are seen only certain frequencies (3 marks)​

Answers

Explanation:

The underlying physics give rise to periodic behavior. Usually, some resonance is involved, in which the media damps waves except those at a specific frequency.

__

Only waves at a specific frequency are recognized as being "stationary." If the frequency varies, the behavior is described as "chaotic." So, it's partly a matter of definition.

if you immerse an object into a known mass of water, the measured mass of the water will _____, and will be equal to the mass of the water displaced by the immersed object.

Answers

Answer: decrease

Explanation: it does

A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 73.5-kg water-skier has an initial speed of 5.2 m/s. Later, the speed increases to 12.2 m/s. Determine the work done by the net external force acting on the skier.

ANSWER FOR BRAINLIEST IF ANSWER IS GOOD

Answers

Ignore my comment, that information is unnecessary.

Assuming no friction between the skis and the water, the total work performed on the skier is due only to the pulling force (T, for tension). By Newton's second law, the net force exerted on the skier is

∑ F = T = ma

where m = 73.5 kg is the mass of the skier, and a is their acceleration.

Under constant acceleration, the skier is pulled a distance x such that

(12.2 m/s)² - (5.2 m/s)² = 2ax

and solving for x gives

x = (60.9 m²/s²) / a

Then the total work performed on the skier is

W = Tx

W = ma • (60.9 m²/s²) / a

W = (73.5 kg) (60.9 m²/s²)

W ≈ 4480 J

The solar mass of the Sun is 1. The orbital period of Jupiter is 11. 9 Earth years. What is the distance between Jupiter and the Sun? 5. 2 AU 41 AU 52 AU 410 AU.

Answers

The distance between Jupiter and the sun is 5.2 AU.

According to Kepler's third law, the square of the period of revolution of planets is proportional to the cube of their mean distances from the sun. From this; T^2 = r^3.

Now, we are told that the orbital period (T) is 11. 9 Earth years. We have to make the distance the subject of the formula.

r =T^2/3

r = (11.9)^2/3

r = 5.2 AU

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Answer:

The answer is A. 5.2 AU

Explanation:

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batman recharges his bat taser with 2500 joules of energy in 15 minutes. how much power does it draw from the mains

Answers

The power P in watts (W) is equal to the energy E in joules (J), divided by the time period t in seconds (s):
P(W) = E(J) / t(s)

2.78 Watts

I need help asap! Will give brainliest

Answers

[tex]\\ \tt\hookrightarrow \dfrac{(3\times 10^4kg)(4\times 10^4m)}{6\times 10^4s)}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{12\times 10^8kgm}{6\times 10^4s}[/tex]

[tex]\\ \tt\hookrightarrow 2kgm/s[/tex]

We have calculated momentum

Calculate the Work done if the force is 2000 Newtons
and the distance is 5 km.

Answers

Answer:

10 million joules or 10,000 KJ

Explanation:

Work= Force x Displacement

convert 5km into meters -5km=5000m

W= 2000N x 5000m

w=10,000,000 Joules

or 10,000KJ

Twins Bo and Joe have a combined mass of 200 kg and are zooming along at 10 m/s in a 100 kg amusement park bumper car. They bump into Melinda’s car, which is sitting still. Melinda has a mass of 25 kg and is also in a 100 kg car. After the collision, the twins continue moving with a speed of 4.12 m/s.
a. What is the initial momentum of the system?
b. What must be the final momentum of the system?
c. How fast is Melinda’s car bumped across the floor?

Answers

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

Total mass of the twins and the car = 300 Kg

Initial velocity of the twins car =  10 m/s

Total mass of Melinda and her car = 125 Kg

Initial velocity of Melinda's car = 0 m/s (at rest)

Final velocity of the twins car =  4.12 m/s

Final velocity of Melinda's car = ?

Initial momentum of the system = (300 × 10) + (125 × 0) = 3000 Kgms-1

Final momentum of the system = (300 × 4.12) + (125 × x) = (1236 + 125x) Kgms-1

Using the principle of conservation of linear momentum;

Total momentum before collision = Total momentum after collision

m1u1 + m2u2 = m2v1 + m2v2

(300 × 10) + (125 × 0) = (300 × 4.12) + (125 × x)

3000 = 1236 + 125x

x =  3000 -  1236 /125

x = 14 ms-1

The speed with which Melinda’s car is bumped across the floor is 14 ms-1.

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Shown below is a parallel circuit of two light bulbs.
(
Bulb 1
Bulb 2
Which statement best describes what will most likely happen if Bulb 1 burns out?
A. Bulb 2 will also burn out.
B. Bulb 2 will blink off and on.
C. Bulb 2 will stay lit, but will be a dimmer light source.
D. Bulb 2 will stay lit and the light source will be stronger.
NG

Answers

The characteristics of parallel circuits allow to find the correct answer for the question about what happens when a light bulb is:  

   D) Bulb 2 will stay lit and the light source will be stronger.

Electrical circuits have two forms and connection:  

   • Serie. In this case there is only one path through which current can circulate the current.  

   • Parallel. There are several roads where the current can circulate.  

In a parallel circuit, the total current in the circuit is the sum of the current in each branch, the voltage in all branches remains constant.

Let's analyze the claims:  

A) False. The bulbs are independent, what happens to one does not affect the other.

B) False. Both bulbs were on, so the second bulb should not be affected.  

C) False. When burn a light bulb, there is more current in the other branch, The opposite happens.  

D) True. When burn a light bulb there is more current in the other branch and therefore the light bulb 2 can dissipate more power by shining a little brighter.

In conclusion, using the characteristics of parallel circuits we can find that the correct answer for the question about what happens when a light bulb burns out is:  

        D) Bulb 2 will stay lit and the light source will be stronger.

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write down 4 situations where magnets are used in our daily life​

Answers

Answer:

Magnets are used to make a tight seal on the doors to refrigerators and freezers

They power speakers in stereos, earphones, and televisions

Magnets are used to store data in computer's

magnets are used in the compass

I am unique even though there are billions of me no two are the same what am I


AND IT'S NOT A FINGER-PRINT

Answers

I think the answer is Snow flakes

Since every ice crystal takes a different route to the ground. They will float through various clouds with various temperatures and moisture contents, which will cause the ice crystal to develop in a distinctive manner.

What make snowflakes unique?

A snowflake's shape changes as it flies through the atmosphere, thus no two are ever the same. Even two flakes floating side by side will each be blown through various vapour and humidity levels to produce a genuinely unique shape.

One of the most recognizable representations of winter weather are snowflakes. There are an unlimited amount of conceivable shapes for snowflakes, and each one is distinct.

Therefore, snowflakes unique even though there are billions.Even two floating flakes will each be exposed to different vapour and humidity conditions, creating a really distinctive form.

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What important role does each play in an exercise regiment?

Answers

Answer: There are five principles of fitness out of which two are overload principle and rest and recovery principle. Overload principle is one of the most important principle which tell that to gain and improve the fitness one should do the hard work.  

Slowly and gradually the intensity and time of exercise are increased so that our body can adapt to the hard work. Overload principle plays an important role in improving the skills and improving performance during exercise and sports.

Rest and recovery principle is important to relax the body and release the stress that happens due to intense training like in case of weight lifting one day rest should be taken to repair and rebuild the muscles. This allows the body to encounter the fatigue and improve performance.

Explanation:

Which of these ALL require direction? Force, Time, Acceleration Displacement, Velocity, Force Mass, Time, Speed Speed, Velocity, Distance



PLS ANSWER QUICK!!!!

Answers

Answer:

force, acceleration, displacement, velocity requires direction

2 questions, 100 points

Gravitational force between objects ____________ as objects move farther apart, and it is ___________ between objects that are closer together.
increases, weaker
increases, stronger
decreases, weaker
decreases, stronger

In science, weight is measure in

Pounds
Kelvin
Newtons
Liters

Answers

1. Is decreases, stronger
2. Pounds

Answer:

decreases, stronger

newtons

Explanation:

a galaxy that is a featureless spherical ball of stars would be called a type

Answers

Answer:

E0

Explanation:

Yes. The "0" indicates that it is spherical

explain how the spray painting process makes use of static electricity

Answers

Answer:

The spray paint gun is charged positively, which causes every paint particle to become positively charged. Since the paint particles all have the same charge, they repel each other and produce a fine mist of paint which is sprayed towards the wall/car.

Answer:

xerography can i get brainliest

Explanation:

What is the current in a 120V circuit if the resistance is 20Ω?

Answers

We have: [tex]I=\frac{U}{R}=\frac{120}{20}=6A[/tex]

ok done. Thank to me :>

Answer:

The Current is 6 Ampere.

Step-by-step explanation:

Given :

[tex]\small\red\bull[/tex] Voltage = 120V[tex]\small\red\bull[/tex] Resistance = 20Ω

To Find :

[tex]\small\red\bull[/tex] Current

Using Formula :

[tex] \star{\small{\underline{\boxed{\sf{ I = \dfrac{V}{R}}}}}}[/tex]

[tex]\small\blue\star[/tex] I = Current[tex]\small\blue\star[/tex] V = Voltage[tex]\small\blue\star[/tex] R = Resistance

Solution :

Substituting all the given values in the formula to find Current :

[tex]{\dashrightarrow{\pmb{\sf{ I = \dfrac{V}{R}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ Current = \dfrac{Voltage}{Resistance}}}}[/tex]

[tex]{\dashrightarrow{\sf{ Current = \dfrac{120}{20}}}}[/tex]

[tex]{\dashrightarrow{\sf{ Current = \cancel{\dfrac{120}{20}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ Current = 6A}}}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{ Current = 6A}}}}}}[/tex]

Hence, the Current is 6 Ampere.

[tex]\rule{300}{1.5}[/tex]

Ali kicks a soccer ball upward at 45° angle
with an initial speed of 32 m/s. What
expression should Ahmed use to calculate
the magnitude of the ball's initial velocity
the horizontal direction?

Select one:
a. 32 sin(45°) m/s

b. 32 cos(45°) m/s

c. 32 tan(45°) m/s

d. 45 m/s

Answers

Answer:

the answer is 32sin(45°)m/s

A(n) 1700 kg car is moving along a level road at 21 m/s. The driver accelerates, and in the next 10 s the engine provides 22000 J of additional energy. If 3666.67 J of this energy must be used to overcome friction, what is the final speed of the car

Answers

The final speed of the car at the given conditions is 30.1 m/s.

The given parameters:

Mass of the car, m = 1700 kgVelocity of the car, v = 21 m/sTime of motion, t = 10 sAdditional energy provided by the engine, E₁ = 22,000 JEnergy used in overcoming friction, E₂ = 3,666.67 J

The change in the energy applied to the car is calculated as;

[tex]\Delta E = E_1 - E_2\\\\\Delta E = 22,000 \ J \ - \ 3,666.67 \ J\\\\\Delta E = 18,333.33 \ J[/tex]

The final speed of the car is calculated as follows;

[tex]\Delta E = \frac{1}{2} m(v_f^2 - v_0^2)\\\\v_f^2 - v_0^2 = \frac{2\Delta E}{m} \\\\v_f^2 = \frac{2\Delta E}{m} + v_0^2\\\\v_f = \sqrt{ \frac{2\Delta E}{m} + v_0^2} \\\\v_f = \sqrt{ \frac{2\times 18,333.4}{1700} + (21)^2} \\\\v_f = 30.1 \ m/s[/tex]

Thus, the final speed of the car at the given conditions is 30.1 m/s.

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The gravitational force on Mars is about 38% of Earth. What would a cat weighing 15 pounds on Earth weigh on Mars?

Answers

Answer: 5.7

Explanation: 38% of 15.

The weight we experience ourselves and the ability to stand in the ground is due to the gravitational pull of earth. If this pull is lower we feel weight loss. So the cat will have a weight of 5.7 pounds or 2.58 kg in mars where the gravitation is about 38% of earth.

What is gravitational force?

Gravitational force is a kind force by which a body attracts other objects into its centre of mass. Earth have strong gravitational effect on objects and thus we are all standing on the surface and everything falling from a height hits the ground.

As the mass of the object increases, gravitational effect also increases. The weight experienced by a body is the product of its mass and gravity. Thus massive body have greater weight.

Our mass is constant everywhere but weight will change according a change in gravity. Mars  have only 38% of gravity of earth. Thus the cat weighing 15 pounds on earth will loss its weight in mars by 38%.

Thus, 15 × 38/100= 5.7 pounds will be the weight of the cat in mars.

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Over a period of 2.50 seconds, a speedboat accelerates uniformly from 18.5 m/s to 46.5 m/s. What is the acceleration of the speedboat relative to the shore?

Answers

The answer is : 11.2 m/s2

According to the question, the acceleration of the speedboat relative to the shore is found to be 11.2 [tex]m/sec^2.[/tex]

What is Acceleration?

Acceleration may be characterized as the rate of change of the velocity of an object with respect to time. It is a vector quantity, as it defined both magnitude and direction. This allows you to measure how fast velocity changes in meters per second squared (m/s^2).

According to the question,

The initial velocity of the boat = 18.5 m/s.

The final velocity of the boat = 46.5 m/s.

Difference in velocity = Final velocity - Initial velocity = 46.5-18.5 = 28 m/s.

The formula for calculating the acceleration of the boat is as follows:

a = Difference in velocity/time taken.

           = 28/2.50 = 11.2 [tex]m/sec^2[/tex].

Therefore,  the acceleration of the speedboat relative to the shore is found to be 11.2 [tex]m/sec^2.[/tex]

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When traveling north from the United States into Canada, you'll see the North Star (Polaris) getting _________. lower in the sky higher in the sky dimmer brighter

Answers

When traveling north from the United States into Canada, you'll see the

North Star (Polaris) getting higher in the sky .

This is because the polaris which is also known as North Star is located

very close to the north celestial pole. When an objects moves towards the

north , the polaris gets higher due to its upward northern location.

This is the major reason why when traveling north from the United States

into Canada, you'll see the North Star (Polaris) getting higher.

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Answer:

Higher

Explanation:

As you go further north, the Star Polaris rises in the sky. This is due to it being circumpolar meaning that the star doesn't move in the night sky (Often)

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br.uh its like 12:00 am for me. The magnetic field of an object exerts a force on any magnetic object around it.True or False chose the expressions that are equivalent to the expression 3 2/3 A) square root 3^6 B) ^3 square root 33 C) square root 3^2 3^2 D) ^3 square root 3^2 E) square root 3^3 F) ^3 square root 9 G) square root 333333H) square root 333 5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77) A line graph has a vertical axis labeled "Average plant height (cm)" and ahorizontal axis labeled "Fertilizer (g/plant)." What information is conveyed bya point plotted with the coordinates (1, 25)? Keep in mind coordinates arewritten as (x-coordinate, y-coordinate).6040Average plant height (cm)3010Fertilizer (g/plant)A. The average height of plants given 1 g of fertilizer was 25 cm.B. The range of fertilizer was from 1 g per plant to 25 g per plant.1C. The average height of plants given 25 g of fertilizer was 1 cm.D. The range of average plant height was from 1 cm to 25 cm. The prt of the business cycle in which the economy starts to slow down is called What is the equation of the line that passes through(-5, 0) and (4, 3)? I need help, can someone explain #4,5,6 in full detail. (I'm very visual) Hey! I need helpNo links pleaseI need a good, sturdy example of a limerick (in poetry) Why does Alexs equation better represent the reaction? find HCF of 36 and 48 In a Lewis Diagram for fluorine, are the two electrons given to the other fluorine atom, taken by the other fluorine atom, or shared between the fluorine atoms? a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon? why should parents be hopeful about their teenagers behavior? what can they do for their teens to help them through this period of development before we left the camp, we covered the fire with a pile of dirt. is it a simple,compound or complex . Choose online media sources from the list below. Select all that may apply.blogebookwebsitepodcastdocumentarybookmoviepls help will mark brainliest Descriptive paragraph on father's favourite car define the term conflict as it relates to literature 1. What impact did Napoleonic Europe have on neighboring countries of France? What is the difference between a credit score and a credit rating?a.A credit score and a credit rating are the same thing.b.A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.c.A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.d.A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.