Use appropriate units and significant figures.  USE THE LAW OF COSINES AND LAW OF SINES.

You are flying 75.0 mi/hr on a plane heading north with a wind blowing 15.0 mi/hr 46.0° East of North. What is the resultant velocity (your velocity relative to the ground)?​

Answers

Answer 1

Answer:

The resultant velocity is 86.1 mi/h.    

Explanation:

The law of cosines is given by:

[tex] c^{2} = a^{2} + b^{2} - 2abcos(\theta) [/tex]

Where:

c: is the resultant velocity =?

a: is the velocity of the plane = 75.0 mi/h

b: is the velocity of the wind = 15.0 mi/h  

θ: is the angle between "a" and "b"                          

The angle between "a" and "b" can be found as follows:

[tex] \theta = 180.0 - 46.0 = 134.0 ^{\circ} [/tex]

Now, by using the law of cosines we have:

[tex] c^{2} = (75.0)^{2} + (15.0)^{2} - 2*75.0*15.0*cos(134.0) = 7413.0 [/tex]

[tex] c = 86.1 mi/h [/tex]    

Therefore, the resultant velocity is 86.1 mi/h.    

The law of sines is:

[tex] \frac{a}{sin(\gamma)} = \frac{b}{sin(\alpha)} = \frac{c}{sin(\theta)} [/tex]

Where:

γ: is the angle between "b" and "c"

α: is the angle between "a" and "c"

So, if we want to find "c" by using the law of sines, we need to know another angle besides θ (γ or α), and the statement does not give us.

I hope it helps you!        


Related Questions

please help me im struggling​

Answers

Answer:

right

Explanation:

What part of the atom takes up most of the atoms space?

The atom

The electron cloud

The nucleus

The bottom part

Answers

Answer:

The electrons

Explanation:

the electron cloud because because because because because

what are the 5 forces in science?

Answers

Applied Force.

Gravitational Force.

Normal Force.

Frictional Force.

Air Resistance Force.

Answer:

Gravity, Electromagnetism, Weak Interaction, Strong Interaction, Unifying the Fundamental Forces.

Explanation:

How does a pendulum model an energy conversion system?

NO LINKS!

Answers

Answer:As a pendulum swings, its potential energy converts to kinetic and back to potential. ... A swinging pendulum.

Explanation:During the course of a swing from left to right, potential energy is converted into kinetic energy and back.

As a pendulum swings, its potential energy converts to kinetic and back to potential energy. During the swing from left to right, the potential energy is converted into kinetic energy and back.

...he...
2- A diver on Saturn's moon Titan is 50 m below the surface of a lake of liquid
methane.
(a) what is the increase in pressure on him due to his depth in the methane? The
density of liquid is 420 kg/m3. the gravitational field on Titan is 1.4 N/kg.
[2]
(6) we are told that the pressure of the atmosphere on Titan is 1600 mbar. What is
the total pressure on the diver (in kPa)
[2]​

Answers

Ur right 2.23848):$/)/8-&:

state kepler's three laws of planetary motion

Answers

Answer:

1) every planet’s orbit is an ellipse with the Sun at a focus.

2) a line joining the Sun and a planet sweeps out equal areas in equal times.

3) the square of a planet’s orbital period is proportional to the cube of the semi-major axis of its orbit.

he concept of energy can be calculated in multiple ways. Which units are used for energy? Check all that apply.

joules
kilogram meters2/seconds2
newtons
kilojoules
meters/seconds2

Answers

JOULES and NEWTONS I hope that helps sorry for the caps

Answer:

Joules, Kilogram Meters²/Seconds², and Kilojoules

Explanation:

How is blue colour made?​

Answers

Answer:

In terms of the light spectrum, blue is a primary color, which means that it is one of the base colors that exist in the universe and it cannot be created by combining different colors together. The primary pigment colors are cyan, magenta, and yellow. Cyan absorbs red, yellow absorbs blue, and magenta absorbs green.

Explanation:

Hope this helped Mark BRAINLEST!!!


Types. Blue pigments were originally made from minerals such as lapis lazuli, cobalt and azurite, and blue dyes were made from plants; usually woad in Europe, and Indigofera tinctoria, or true indigo, in Asia and Africa. Today most blue pigments and dyes are made by a chemical process. Mark as brainliest

Also, I need the answer in like 5 mins. This is kinda hard for me can someone help me. It's about the solar system.

Answers

Answer:

North star, its close to our solar system but not in it. hope this helps

A golf club with mass 0.5 kg is swung at 23 m/s toward a stationary golf ball on a tee. The club barely slows down to 17 m/s, but the ball flies off the tee at 69 m/s. Calculate the mass of the golf ball in kg. Answer to 4 decimals. Help fast please. Will mark brainliest

Answers

Answer:

I gotchu fam. 0.0435 kg

Explanation:

m1v1+m2v2=m1v1f+m2v2f

(0.5)(23)+(m2)(0)=(0.5)(17)+(m2)(69)

11.5=8.5+69m2

3=69m2

0.0435 kg

please help meeee, I need help to complete my assignment

Does an object of a higher mass absorb more thermal energy than an object of lower mass?

Answers

Yes because it’s higher mass the higher it is, the more thermal energy gets absorbed

Un automóvil viaja a la velocidad de 10 m/s. Se acelera Durante 12s y aumenta su velocidad hasta 70 m/s ¿Que aceleración experimenta el automóvil?

Answers

Answer:

Aceleracion = 5 m/s²

Explanation:

Dados los siguientes datos;

Velocidad inicial = 10 m/s

Velocidad final = 70 m/s

Tiempo, t = 12 segundos

Para encontrar la aceleración;

Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.

Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.

Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;

[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]

Sustituyendo en la fórmula, tenemos;

[tex] Aceleracion = \frac{70 - 10}{12}[/tex]

[tex] Aceleracion = \frac{60}{12}[/tex]

Aceleracion = 5 m/s²

How do you calculate a bearing angle and its equivalent angle?

Answers

Explanation:

A bearing if an angle is measured clockwise from north direction.

e.g Below the bearing of B from A is 025. (3 figures are always given). the bearing of A from B is 205°.

what affects the strength of an electric field? FOR SCIENCE

Answers

Answer:

The electric field strength is dependent upon the quantity of charge on the source charge (Q) and the distance of separation (d) from the source charge.

Which is a characteristic of the part of the atom marked "A"?Which is a characteristic of the part of the atom marked "A"?Which is a characteristic of the part of the atom marked "A"?Which is a characteristic of the part of the atom marked "A"?Which is a characteristic of the part of the atom marked "A"?

Answers

Answer:

its c

Explanation:

just did it

Answer:

c

Explanation:

research has shown ____ often depends on one's current status, circumstances, and expectations.

Research has shown

A subjective well-being

B relative deprivation

C. parasympathetic division

D. evaluative aspect

Answers

Answer:

A. subjective well-being

Explanation:

A subjective well being does indeed often on the status, expectations and circumstances according to the theory of emotion. Also, there are flashcards on quizlet about this subject so if you want to learn more go there!

Answer: A

Explanation:

TRUE OR FALSE, PLEASEE HELPPP ASAP

6) The amount of work done on an object depends on the final speed of the object

7) 1 Horsepower (hp) is equal to 746 Watts.

8) The SI unit for Work is the Joule.

9) The lower the percentage, the better the efficiency

10) The Work-Energy theorem states that the change in kinetic energy also equals the amount of work done on an object or system.​

Answers

Answer: You do not deserve help, You dont help other people you only use them for points so...do not ask for help from us now

Explanation:

Imagine driving down the road and you suddenly doubled your velocity. What then happens to your overall kinetic energy?

it is halved


it remains unaffected


it is doubled


it is quadrupled

Answers

The answer is it it quadrupled

Lamar writes several equations trying to better understand potential energy. What conclusion is best supported by lamar's worm?

Answers

Complete question is;

Lamar writes several equations trying to better understand potential energy. What conclusion is best supported by Lamar’s work?

A) The elastic potential energy is the same for any distance from a reference point.

B) The gravitational potential energy equals the work needed to lift the object.

C) The gravitational potential energy is the same for any distance from a reference point.

D) The elastic potential energy equals the work needed to stretch the object

Answer:

B) The gravitational potential energy equals the work needed to lift the object.

Explanation:

In physics, we know that potential energy is the energy of a body at rest while the energy of a body in motion is known as kinetic energy.

However,the work required to lift a body from it's position of rest is equal to the Gravitational potential energy of that body.

Elastic potential energy is the one that is stored as a result of force applied to deform an elastic object. Thus, it is not equal to the work needed to stretch the object and it is also not the same for any distance from reference point.

Thus, looking at the options, Option B is correct

water flows in a pipe of a terminal of A1=0.02 m2 with a speed of V1=2 m/s. At the second end of the pipe A2=0.04 m2, the speed of flow is V2=_______m/s

Answers

A1*V1=A2*V2
0.02*2=0.04*V2
V2=1 m/s

A train A travelled a distance of 150 km in 3 hours, whereas, train 'B"
travelled a distance of 180 km in 4 hours. Which train travelled faster?​

Answers

Answer:

Therefore, Train A is faster with 50km/h and a 5km/h difference

Explanation:

train A

150km/3h = 50km/h

train B

180km/4h = 45km/h

What is the SI unit of measurement for speed? A.meters per second (m/s) B.meters per second (m/s) C.Miles per hour (mi/hr) D.Miles per hour (mi/hr) Kilometers per minute (km/min) Kilometers per minute (km/min) Grams per unit (g/u) Grams per unit (g/u)

Answers

Explanation:

The SI unit of measurement for speed is metres per second (m/s) .

Speed : The distance travelled by a body per unit time is know as speed.

Hope it will help.

1) A mass of 20kg was lifted from a height of 5m to 12m. How much work was done?

Answers

Answer:

1400joules

Explanation:

work(j)= force × distance.

Distance is from 5m to 12 that is 7m

Force, we weren't given, and the formula is mass × acceleration due to gravity. mass is 20kg and a is 10 or 9.8

f= 20×10

f=200

work= 200 × 7

work= 1400joules

Hope it helped(...and is correct )

PLZZZ HELP ME ASAP FOR BRAINLIEST AND 20 POINTS
I am desperate and these are my last points.
:'(

Answers

Answer:

gamma rays

Explanation:

Question 2 of 5
What is an example of anaerobic exercise?
A. Walking
B. Lifting weights
C. Swimming
D. Dancing
SMIT

Answers

lifting weights, did this yesterday :))
Lifting weights is an example

What geologic process creates an alcove?
Group of answer choices

A. wind erosion
B.glaciation
C.tectonic uplift
D.coastal erosion

Answers

The answer is D coastal

How is atomic energy is produced ?​

Answers

Answer:

Fission and Fusion

Explanation:

There are two basic processes: fission and fusion. In both processes, mass is converted to energy according to the famous equation, e=mc2

In fission, heavy fuel (isotopes of uranium, plutonium, thorium, etc.) atoms split, releasing kinetic energy daughter particles and as radiation. In a reactor plant kinetic energy of the daughter particles is converted to thermal energy as the particles are slowed by the fuel matrix or primary coolant. Radiation is absorbed by various components of the reactor and converted to thermal energy. Thermal energy from both sources is then carried out of the reactor core by primary coolant to a turbine where it is converted to electrical energy which is then transmitted to the power grid.

In fusion, light atoms of hydrogen combine to form helium. Energy released from this reaction will be captured and used to generate electricity as well, once we have constructed a fusion reactor large enough to be self-sustaining (i.e. produce as much or more energy from fusion than needed to start the reaction going).

In the case of nuclear weapons, the tremendous energy from the nearly simultaneous fission/fusion reactions is used to create a fireball, intense radiation, and a large shock wave.

Yes Fission & Fusion

Answer all of these questions and you will get the brainlist

Answers

Answer:

2 ans : the bell has 8550 J energy

Answer:

1. kinetic energy = ½mv²

m= 2.1 kg

v = 30m/s

Ek = ½ ×2.1×30×30

= 945J

2. potential energy = mgh

m = 190kg

g = 9.8

h = 45m

Ep = 190×9.8 × 45

= 83790J

3.potential energy = mgh

m= 75kg

g= 9.8

h = 300m

Ep = 75×9.8×300

= 220,500J

electromagnetic wav​

Answers

Answer:

e search mo sa utak mo kasi di mo alam

Q7) A box sliding with a velocity of 5 m/s accelerates at 2 m/s^2. How
much is the box displacement after 6 s?

Answers

Answer:

The box displacement after 6 seconds is 66 meters.

Explanation:

Let suppose that velocity given in statement represents the initial velocity of the box and, likewise, the box accelerates at constant rate. Then, the displacement of the object ([tex]\Delta s[/tex]), in meters, can be determined by the following expression:

[tex]\Delta s = v_{o}\cdot t+\frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)

Where:

[tex]v_{o}[/tex] - Initial velocity, in meters per second.

[tex]t[/tex] - Time, in seconds.

[tex]a[/tex] - Acceleration, in meters per square second.

If we know that [tex]v_{o} = 5\,\frac{m}{s}[/tex], [tex]t = 6\,s[/tex] and [tex]a = 2\,\frac{m}{s^{2}}[/tex], then the box displacement after 6 seconds is:

[tex]\Delta s = 66\,m[/tex]

The box displacement after 6 seconds is 66 meters.

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