A pilot must fly his plane due north to reach his destination. The plane can fly at 300 km/h in still air. A wind is blowing out of the northeast at 90 km/h. (a) What is the speed of the plane relative to the ground

Answers

Answer 1

Answer:

229.5 km/h

Explanation:

Given that

Velocity of the plane relative to the ground = V.pg = ?

Velocity of air relative to the ground = V.ag = 90 km/h

Velocity of the plane relative to air = V.pa = 300 km/h

V.pg = V.ag + V.pa

Where

V.ag = 90 km/h

= -90 cos 45i - 90 sin 45j

V.pa = 300 km/h

= 300 cos θi + 300 sin θj

V.pg = [-90 cos 45i - 90 sin 45j] + [300 cos θi + 300 sin θj], on rearranging and collecting like terms

V.pg = [300 cos θ - 90 cos 45]i + [300 sin θ - 90 sin 45]j

If vector i = 0, then

300 cos θ - 90 cos 45 = 0

300 cos θ = 90 cos 45

cos θ = 90 cos 45 / 300

cos θ = 63.6396 / 300

cos θ = 0.2121

θ = cos^-1 0.2121

θ = 77.75

We then use this θ to find vector j

V.pg = 300 sin θ - 90 sin 45

V.pg = 300 sin77.75 - 90 sin45

V.pg = 293.1693 - 63.6396

V.pg = 229.5297 km/h


Related Questions

Air in a balloon does 40 J of work expanding the balloon while absorbing 60 J of heat. What is the change in internal energy

Answers

Answer:

DU = 20 Joules

Explanation:

Given the following data;

Heat absorbed, Q = 60J

Workdone, W = 40J

To find the internal energy;

We would use first law of thermodynamics given by the formula;

Change in internal energy (DU) = Q - W

where;

U is internal energy.

Q is the heat absorbed.

W is the work done.

Substituting into the equation, we have;

DU = 60 - 40

DU = 20 Joules

A person runs up 33 stairs of height 0.25 m. The person weighs 599.85 N. How much energy does it take for the person to reach the top of the stairs? I need the answer ASAP

Answers

Answer:

149.96J

Explanation:

Given parameters:

Number of stairs = 33

Height  = 0.25m

Weight  = 599.85N

Unknown:

Energy the person takes to reach the top  = ?

Solution:

To solve this problem;

  The energy it takes is given as:

          Energy  = weight x height

          Energy  = mass x gravity x height

Now,

  Insert the given parameters and solve;

        Energy  = 599.85 x 0.25  = 149.96J

Curious George is whirling a 2.0 kg bunch of bananas on a smooth floor in a circular path having a radius of 0.50 m. What force must he apply to keep the motion constant so that the bananas complete one revolution every 4.0 seconds

Answers

Answer:

The force will be [tex]F_{c}=2.47 N[/tex]

Explanation:

Let's use the centripetal force equation.

[tex]F_{c}=m\omega ^{2}R[/tex]

Where:

m is the mass of the bunch of bananas

ω is the angular speed

R is the radius

Now, 1 rev every 4 seconds or 0.25 rev/sec is the angular speed, but we need to write this speed in rad per second.

[tex]\omega =0.25\frac{rev}{s}=0.25*2\pi \frac{rad}{s}=1.57 \frac{rad}{s}[/tex]

FInally, the force will be:

[tex]F_{c}=2.0*1.57^{2}*0.5[/tex]

[tex]F_{c}=2.0*1.57^{2}*0.5[/tex]

[tex]F_{c}=2.47 N[/tex]

I hope it helps you!

2. Use the data table below to respond to the
question:
4 seconds
At seconds
Speed (meters per second Im/s]
At 1 second At 2 seconds At 3 seconds
2
+
6
At 4 seconds
8
Car A
0
B
2
Car B
2
2
2
2
4
Car C
3
2
1
0
0
Car D
5
5
5
5
5
5
ant
Which car had the greatest acceleration?
A. A
B. B
C. C С
D. D

Answers

Answer:

car d

Explanation:

5555555555555555555

What type of wavelength can we feel as heat and it is used to change the television channel with a remote?
microwaves
ultraviolet waves
X-rays
infrared waves

Answers

Answer:

d)infrared waves

Explanation:

A remote control uses light waves just beyond the visible spectrum of light—infrared light waves—to change channels on your TV. This region of the spectrum is divided into near-, mid-, and far-infrared.

Given an area of 8 ft^2. Express this area in the following terms. (a)m^2 5.9458 Incorrect: Your answer is incorrect. m^2 (b) in^2 WebAssign will check your answer for the correct number of significant figures. 96 Incorrect: Your answer is incorrect. in^2 (express to 4 significant figures)

Answers

Answer:

0.7432m²

1152in²

Explanation:

a) Usng the conversion

1ft² = 0.0929m²

8ft² = y

y = 8 × 0.0929

y = 0.7432m²

Hence 8ft² in m² is 0.7432m²

For ft² to in²

1ft² = 144in²

8ft² = x

X =8×144

x = 1152in²

Hence 8ft² expressed in in² is 1152in²

Distinguish between elastic collasin
and inelastic collasin

Answers

Explanation:

In an elastic collision, two or more bodies are in contact with one another and there is no net loss of kinetic energy in the system. By the virtue of this, the bodies and objects do not stick together after they collide.

Both momentum and kinetic energy are conserved in an elastic collision. An example is when a football hits a wall.

For an inelastic collision, the bodies sticks together after they collide and there is a loss of kinetic energy after they collide. An example of this type of collision is when a gum is throw against a wall.

explain how electrically neutral objects can become electrically charged even though charge cannot be created or destroyed

Answers

Answer:

The object gains or loses electrons to become charged. Both are a movement of electrons from the negative to the positive charge. A circuit has a continuous current provided by a voltage source.

Explanation:

Water runs out of a horizontal drainpipe at the rate of 135 kg/min. It falls 3.1 m to the ground. Assuming the water doesn't splash up, what average force does the water exert on the ground

Answers

Answer:

The average force exerted by the water on the ground is 17.53 N.

Explanation:

Given;

mass flow rate of the water, m' = 135 kg/min

height of fall of the water, h = 3.1 m

the time taken for the water to fall to the ground;

[tex]h = ut + \frac{1}{2}gt^2\\\\h = 0 + \frac{1}{2}gt^2\\\\t = \sqrt{\frac{2\times 3.1}{9.8} } \\\\t = 0.795 \ s[/tex]

mass of the water;

[tex]m = m't\\\\m = 135 \ \frac{kg}{min} \ \times \ 0.795 \ s \ \times \ \frac{1 \ \min}{60 \ s} \ = 1.789 \ kg[/tex]

the average force exerted by the water on the ground;

F = mg

F = 1.789 x 9.8

F = 17.53 N

Therefore, the average force exerted by the water on the ground is 17.53 N.

A projectile is launched at an angle of 60° from the horizontal and at a velocity of
12.0 m/s. What is the horizontal velocity of the projectile? *

Answers

Answer:

60*12.0= 720 = v/60 * 12.0 squared which is 1,728

Explanation:

Horizontal velocity component: Vx = V * cos(α)

The horizontal velocity of the projectile is 6.0m/s

If a projectile is launched at an angle from the horizontal and at a velocity v, the horizontal velocity of the projectile is expressed as:

[tex]v_x =vcos \theta[/tex]

Given the following parameters

v = 12.0m/s

[tex]\theta=60^0[/tex]

Substitute the given parameters into the formula to have:

[tex]v_x=12.0cos60\\v_x=12.0(0.5)\\v_x=6.0m/s\\[/tex]

Hence the horizontal velocity of the projectile is 6.0m/s

Learn more here: https://brainly.com/question/23916021

Expert Answer please 100 points \\ Find the largest value P can have and the boxes move together with equal accelerations?

Answers

P= 71.51KG i think but double check

what are three ways the electricity we use can be generated

Answers

There are 3 different types of energy. These 3 are fossil fuel, nuclear energy, and renewable energy. Most electricity is generated by ether wind, solar, or thermoelectric. Thermoelectric produces energy by burning coal,natural gas, and oil in a boiler.

How many significant figures are there in each of the following?
(a) 85.8 + 0.9

Answers

Answer:

86.7

Explanation:

sana makatulong yung answer ko

Brainliest brainliest help help help mememememememme

Answers

Answer:

????????????????????,

Explanation:

I need points sorry

Answer:

honestly this was so long ago can i get brainliest i need 2 more until i am at expert level

Explanation:

Small cuts or scratches on your body, which are easier to "repair," lead to very rapid
blood clotting; more serious wounds, like a deep gash in your leg, clot more slowly.

True

False

Answers

Small cuts or scratches on your body, which are easier to "repair," lead to very rapid

blood clotting; more serious wounds, like a deep gash in your leg, clot more slowly.

TRUE   ☜(゚ヮ゚☜)

True I believe.......

A finch rides on the back of a Galapagos tortoise, which walks at the stately pace of 0.060 m>s. After 1.5 minutes the finch tires of

Answers

Complete Question:

A finch rides on the back of a Galapagos tortoise, which walks

at the stately pace of 0.060 m/s. After 1.5 minutes the finch tires of

the tortoise’s slow pace, and takes flight in the same direction for

another 1.5 minutes at 11 m/s.

What was the average speed of the  finch for this 3.0-minute interval?

Answer:

[tex]Speed = 5.53 m/s[/tex]

Explanation:

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

First, we calculate the distance for the first 1.5 minutes

For the first 1.5 minutes, we have:

[tex]Speed = 0.060m/s[/tex]

[tex]Time = 1.5\ mins[/tex]

[tex]D_2= 0.060m/s * 1.5\ mins[/tex]

Convert 1.5 mins to seconds

[tex]D_2= 0.060m/s * 1.5 * 60s[/tex]

[tex]D_2= 5.4m[/tex]

Next, we calculate the distance for the next 1.5 minutes

[tex]Speed = 11m/s[/tex]

[tex]Time = 1.5\ mins[/tex]

[tex]D_2= 11m/s * 1.5\ mins[/tex]

Convert 1.5 mins to seconds

[tex]D_2 = 11m/s * 1.5 * 60s[/tex]

[tex]D_2= 990m[/tex]

Total distance is:

[tex]Distance = 990m + 5.4m[/tex]

[tex]Distance = 995.4m[/tex]

The average speed for the 3.0 minute interval is:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{995.4\ m}{3.0\ mins}[/tex]

Convert 3.0 minutes to seconds

[tex]Speed = \frac{995.4\ m}{3.0 * 60 secs}[/tex]

[tex]Speed = \frac{995.4\ m}{180 secs}[/tex]

[tex]Speed = 5.53 m/s[/tex]

A coin lies at the bottom of a tank containing water to a Dept of 130cm. If the refractive index of the water is 1.3, calculate the apparent displacement of the coin viewed vertically from above

Answers

Answer: 100 cm

Explanation: When an object at the bottom of a tank with water is viewed vertically from above, to the observer, it seems the object is closer to the eye, i.e., the apparent depth of the object is less than the real depth the object is. This is caused by Refraction, which happens when an incident light passing through an interface between two different media causing the light to be deflected.

The relation between real and apparent depths is given by:

[tex]n=\frac{Dr}{Da}[/tex]

where

n is refractive index of the surface

Dr is real depth

Da is apparent depth

For the coin at the bottom of a tank, apparent depth is:

[tex]n=\frac{Dr}{Da}[/tex]

[tex]Da=\frac{Dr}{n}[/tex]

[tex]Da=\frac{130}{1.3}[/tex]

Da = 100

Apparent displacement of the coin viewed vertically from above is 100 cm.

If both the pressure and volume of a given sample of an ideal gas are doubled, what happens to the temperature of the gas in Kelvins

Answers

Answer: Four times

Explanation:

Given

If Pressure and Volume is double

For ideal gas

PV=nRT

where P=Pressure

V=volume

n=no of moles

R=gas constant

T=temperature

Initially

PV=nRT......(i)

after doubling

(2P)(2V)=nRT'.......(ii)

divide (i) and (ii)

[tex]\frac{PV}{4PV}=\frac{nRT}{nRT'}\\T'=4T[/tex]

So, Temperature becomes 4 times

what are examples of an insulator, conductor, and semiconductor?

Answers

Examples of insulators are rubber, glass and dry wood. Examples of conductors are metals, graphite and the human body. Examples of semiconductors are silicone, germanium and gallium arsenide.

A 100g mouse and an elephant want to find balance by sitting on a really long see-saw that is balanced at its center of mass. Of the 5000 kg elephant is sitting 0.75m away from the axis of rotation, how far away from the axis of rotation must the mouse sit

Answers

Answer:

3.75 km away

Explanation:

From the law of moments, clockwise moments = anticlockwise moment

So WL = wl where W = weight of elephant = Mg and M = mass of elephant = 5000 kg, L = distance of elephant from axis of rotation = 0.75 m, and w = weight of mouse = mg where m= mass of mouse = 100 g = 0.1 kg and l =  distance of mouse from axis of rotation = unknown and g = acceleration due to gravity.

So, MgL = mgl

ML = ml

l = ML/m

= 5000 kg × 0.75 m/0.1 kg

= 3750 kgm/0.1 kg

= 37500 m

= 3.75 km away

Potential energy diagrams for a particle are useful in predicting the motion of that particle.

a. True
b. False

Answers

Answer:

True

Explanation:

A planet of mass M and radius R has no atmosphere. The escape velocity at its surface is ve. An object of mass m is at rest a distance r from the center of the planet, where r>>R. The particle falls to the surface of the planet. The total mechanical energy of the particle at the surface of the planet is closest to

Answers

The total mechanical energy of the particle of mass m at the surface of the planet of mass M when the distance is R (planet's radius) is [tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex].            

When the particle is at rest at a distance "r" from the planet's center, it only has gravitational potential energy. As the particle falls to the planet's surface, some initial gravitational potential energy converts to kinetic energy.      

The total mechanical energy of the particle at the planet's surface is equal to the sum of the gravitational potential energy and kinetic energy, so:

[tex] E = P + K [/tex]    

[tex] E = maR + \frac{1}{2}mv_{e}^{2} [/tex]  (1)

Where:

m: is the mass of the object

a: is the acceleration due to gravity on the surface of the planet

R: is the radius of the planet

[tex]v_{e}[/tex]: is the escape velocity                            

The acceleration due to gravity is given by:

[tex] a = \frac{GM}{R^{2}} [/tex]  (2)  

By entering equation (2) into (1), we have:

[tex] E =mR\frac{GM}{R^{2}}  + \frac{1}{2}mv_{e}^{2} [/tex]  

[tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex]

                 

Therefore, the total mechanical energy of the particle is [tex] E = \frac{GmM}{R}  + \frac{1}{2}mv_{e}^{2} [/tex]

Learn more here:

https://brainly.com/question/9322440?referrer=searchResultshttps://brainly.com/question/14127859?referrer=searchResults  

I hope it helps you!  

How does the mass of and distance between the Sun and the Earth impact the number of days in a year?

Answers

Answer:

Force of sun on  earth can  be written:

F = G M m / R^2

Centripetal force on earth can be written:

F= m w^2 R

Equating these:

G M / R^2 = w^2 R

Or   w^2 = G (M / R^3)

Since no/ days per year is proportional to w (time for 1 revolution)

Increasing M (mass of sun) would increase w or decrease length of year

Increasing the mean radius R would decrease w  or increase length of year

A system increases in internal energy by 80 J and 50 J of work are done on it at the same time. What is the heat change of the system

Answers

Answer:

The heat change of the system is 30 J.

Explanation:

Given;

increase in internal energy of a system, ΔU = 80 J

work done on the system, W = 50 J

The heat change of the system can be calculated from first law of Thermodynamics;

ΔU = Q - W

where;

Q is the heat absorbed by the system

W is the work done by the system (negative when work is done by the system and positive when work is done on the system)

Since work was done on the system the increase internal energy is given as;

ΔU = Q  + W

ΔU  - W = Q

80 J - 50 J = Q

30 J = Q

Therefore, the heat change of the system is 30 J.

Planet Zero has a mass of 4.0 x 1023 kg and a radius of 2.0 x 106 m. A 10-kg space probe is launched vertically from the surface of Zero with an initial kinetic energy of 8.0 x 107 J. What maximum distance from the center of Zero is achieved by the probe

Answers

Answer:

r2 = 1.25 × 10^(6) m

Explanation:

We are given;

Initial kinetic energy; K_1= 8.0 x 10^(7) J

Mass of planet zero; M = 4.0 x 10^(23) kg

Mass of space probe; m = 10 kg

Radius of planet zero; r1 = 2 × 10^(6) m

From conservation of energy, we can say that;

Initial potential energy + Initial kinetic energy = Final potential energy + Final kinetic energy

This is;

U1 + K1 = U2 + K2

Using formula for potential energy: U = GMm/r, we can write it as;

GMm/r1 + K1 = GMm/r2 + K2

Where Maximum distance = r2

At maximum distance from the center of Zero, K2 = 0.

Thus;

GMm/r1 + K1 = GMm/r2

Making r2 the subject, we have;

r2 = GMm/((GMm/r1)+ K1)

Where G is gravitational constant = 6.67 × 10^(-11) N/m²/kg2

Thus;

r2 = (6.67 × 10^(-11) × 4.0 x 10^(23) × 10)/((6.67 × 10^(-11) × 4.0 x 10^(23) × 10)/(2 × 10^(6)) + (8.0 × 10^(7)))

r2 = 1.25 × 10^(6) m

if an object is projected upward with an initial velocity of 80 ft per second, what is t at maximum height

Answers

Answer:

The time at maximum height is 2.49 s.

Explanation:

The time (t) at the maximum height can be found using the following equation:

[tex] v_{f} = v_{0} - gt [/tex]

Where:

[tex]v_{f}[/tex]: is the final velocity = 0 (at the maximum height)

[tex]v_{0}[/tex]: is the initial velocity = 80 ft/s

g: is the gravity = 9.81 m/s²

Hence, the time is:

[tex]t = \frac{v_{0}}{g} = \frac{80 \frac{ft}{s}*\frac{1 m}{3.281 ft}}{9.81 m/s^{2}} = 2.49 s[/tex]

Therefore, the time at maximum height is 2.49 s.

I hope it helps you!                        

Summarize what you have learned about power and electrical energy.

Answers

Answer:

i dont know.

Explanation:

school is pointless

newtons first law 1 to 5.
What is each of the net force for all of the 5 questions? ​

Answers

Answer:

1. 65 N.

2. 160 N.

3. 0 N.

4. 210 N.

5. 90 N.

Explanation:

1. Determination of the net force.

Force applied to the right (Fᵣ) = 80 N

Force applied to the left (Fₗ) = 145 N

Net force (Fₙ) =?

Fₙ = Fₗ – Fᵣ

Fₙ = 145 – 80

Fₙ = 65 N

Thus, the net force is 65 N

2. Determination of the net force.

Force 1 applied to the left (F₁) = 35 N

Force 2 applied to the left (F₂) = 125 N

Net force (Fₙ) =?

Fₙ = F₁ + F₂

Fₙ = 35 + 125

Fₙ = 160 N

Thus, the net force is 160 N.

3. Determination of the net force.

Force applied to the right (Fᵣ) = 75 N

Force applied to the left (Fₗ) = 75 N

Net force (Fₙ) =?

Fₙ = Fₗ – Fᵣ

Fₙ = 75 – 75

Fₙ = 0

Thus, the net force is 0 N

4. Determination of the net force.

Force 1 applied to the right (F₁) = 150 N

Force 2 applied to the right (F₂) = 60 N

Net force (Fₙ) =?

Fₙ = F₁ + F₂

Fₙ = 150 + 60

Fₙ = 210 N

Thus, the net force is 210 N.

5. Determination of the net force.

Force applied to the right (Fᵣ) = 115 N

Force applied to the left (Fₗ) = 25 N

Net force (Fₙ) =?

Fₙ = Fᵣ – Fₗ

Fₙ = 115 – 25

Fₙ = 90 N

Thus, the net force is 90 N

C
D
А
E
15
Which letter represents the position at which the basketball has the greatest potential energy? Explain

Answers

Which letter represents the position at which the basketball has the greatest potential energy? Explain. Point C. At this point, which is the highest point, all of the ball's energy is gravitational potential energy.

Sorry it’s twisted but please help, thank you!

Answers

Answer:

A-50 N

Explanation:

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Solve for X!!!!!!!!!!!!!!!!!!!!!!!!!!!! Can you help me please ?:) . Find the slope of a line that passes through the points (9, 3) and (7, Which of the following is an example of erosion in action?a) Rock on the edge of riverb) Soil material being moved downstream carried by waterc) A desert valleyd) A tree growing next to a lake If the plane climbed 242 more feet at an angle of 2 degrees. How much further did the plane travel to reach its maximum height in miles (b)? For Spanish speakers! Put the correct forms of the verbs "ser" and "estar" in present tense! The reason I this question is in this catergory is because I have already asked the question in the Spanish one but not a lot of people are active on there so I hope you understand Thanks :P An alien comes to Earth in a spaceship that has crash-landed. At first, humans fear him. The governmentimprisons him and tries to keep his existence a secret. Asa result, humans never hear that he came from a planetthat had once had environmental problems similar tothose of Earth, but eventually solved them.Which statement most accurately describes two literary themes of the story?A. While some situations call for charity, people can also benefit frompursuing their own interests.B. People often will take advantage of others who show weakness,so it is best to play to win.C. One should remain skeptical, but sometimes it is O.K. to placetrust in the unknown.D. People often will jump to conclusions without knowing the facts,so one should maintain an open mind Explanation chemosynthesis and give an example Pleaseeee help I need it now Question 3 of 10Where can you find text-based media?A. Only on the InternetB. EverywhereC. Only on televisionD. Only in newspapers A 105 kg football player runs at 8.5 m/s and plows into the back of an 85 kg referee running at 3.5 m/s on the field causing the referee to fly forward at 6.0 m/s.What must the momentum of the football player be after the collision? someone pls help Im not sure which one it is PLEASE HELP ME IT WOULD MEAN A LOT Write the value of f(-3).f(x) = -x2 + 3x - 11 Factor a2 - 24a + 144. Can someone help me because I can't think of an example1. Provide an example of being sincere.2. How does that example show sincerity? What is the answer to this equation 11c=77 someone helpme plsss help please and thank you Find the unit rate. 123 miles in 3 hoursRemember, you are figuring out how many miles will be traveled in 1 hour.Answer: _____ miles in 1 hour OR ____ miles per hour OR ____ mph