Un punto se ubica en un sistema de coordenadas polar por las coordenadas r = 7.6 m y = 30°. Encuentre las coordenadas x y y de este punto (en m), suponiendo que los dos sistemas de coordenadas tienen el mismo origen.

Answers

Answer 1

Answer:

Las coordenadas del punto son [tex](x,y) = (6.582\,m, 3.8\,m)[/tex].

Explanation:

La relación entre un vector en formato polar y uno con formato rectangular con respecto al mismo origen queda sintetizado por la siguiente expresión:

[tex](x, y) = r\cdot (\cos \theta, \sin \theta)[/tex] (1)

Donde:

[tex]r[/tex] - Magnitud de la distancia del punto con respecto al origen, medido en metros.

[tex]\theta[/tex] - Dirección del punto con respecto del semieje +x, medido en grados sexagesimales.

[tex]x,y[/tex] - Coordenadas rectangulares del punto con respecto al origen, medidas en metros.

Si sabemos que [tex]r = 7.6\,m[/tex] y [tex]\theta = 30^{\circ}[/tex], entonces las coordenadas rectangulares del punto con respecto al origen son:

[tex](x,y) = (7.6\,m)\cdot (\cos 30^{\circ}, \sin 30^{\circ})[/tex]

[tex](x,y) = (6.582\,m, 3.8\,m)[/tex]

Las coordenadas del punto son [tex](x,y) = (6.582\,m, 3.8\,m)[/tex].


Related Questions

Describe the parts of the wheel and axle

Answers

Answer:

A simple machine that may be used the most often is called the wheel and axle. The wheel and axle has two basic parts: wheel and axle.  It has two circular objects which includes a larger disc and a small cylinder both joined at the center.

Explanation:

Explanation:

A simple machine that may be used the most often is called the wheel and axle. The wheel and axle has two basic parts: wheel and axle. They can be found everywhere. It has two circular objects which includes a larger disc and a small cylinder both joined at the center.The large disc is the wheel, and the small cylinder or rod is the axle. There may be two wheels attached to the axle.

There are two basic ways a wheel and axle can work together to help move things.

1. The Force is applied to the Wheel

For example, a screwdriver is an example of a wheel and axle. The handle is the wheel where the force is applied. It turns or spins and increases the force of the shaft or axle, which helps turn the screw.

Another example of force being applied to the wheel is when a doorknob is turned. The wheel (doorknob) is turned and the locking mechanism connected to the shaft turns and the door can then be opened.

2. The Force is applied to the Axle

A Ferris wheel is an example of force being applied to the axle. When the axle turns it results in the giant wheel turning. The wheel is much larger than the axle and covers more distance and area. A ceiling fan works the same way.

Which of the following measurements require the use of scientific notation?
A. The length of your hair
B. The distance to the sun
C. The width of your hand
D. Distance to Indianapolis in miles

Answers

Answer: B. The distance of the sun

The atomic mass of calcium is 40.08. What is the mass of 6.02 × 1023 atoms of calcium?

Answers

Answer:

It is 40.08 g

Explanation:

[tex]6.02 \times 10 {}^{23} \: atoms = 1 \: mole = 40.08 \: g[/tex]

I will be so thankful if u answer correctly!!​

Answers

Answer:

(a) 10N

Explanation:

The sketch of the two cases has been attached to this response.

Case 1: The box is pushed by a horizontal force F making it to move with constant velocity.

In this case, a frictional force [tex]F_{r}[/tex] is opposing the movement of the box. As shown in the diagram, it can be deduced from Newton's law of motion that;

∑F = ma    -------------------(i)

Where;

∑F = effective force acting on the object (box)

m = mass of the object

a = acceleration of the object

∑F = F -  [tex]F_{r}[/tex]

m = 50kg

a = 0   [At constant velocity, acceleration is zero]

Substitute these values into equation (i) as follows;

F -  [tex]F_{r}[/tex] = m x a

F -  [tex]F_{r}[/tex] = 50 x 0

F -  [tex]F_{r}[/tex] = 0

F =  [tex]F_{r}[/tex]            -------------------(ii)

Case 2: The box is pushed by a horizontal force 1.5F making it to move with a constant velocity of 0.1m/s²

In this case, the same frictional force [tex]F_{r}[/tex] is opposing the movement of the box.

∑F = 1.5F -  [tex]F_{r}[/tex]

m = 50kg

a =  0.1m/s²

Substitute these values into equation (i) as follows;

1.5F -  [tex]F_{r}[/tex] = m x a

1.5F -  [tex]F_{r}[/tex] = 50 x 0.1

1.5F -  [tex]F_{r}[/tex] = 5            ---------------------(iii)

Substitute [tex]F_{r}[/tex] = F from equation (ii) into equation (iii) as follows;

1.5F - F = 5            

0.5F = 5            

F = 5 / 0.5

F = 10N

Therefore, the value of F is 10N

The total momentum before a collision is___to the total momentum after a collision

Answers

Answer:

Equal

Explanation:

The law of conservation of energy states that the total momentum before and after a collision are equal

Answer:

Equal to the total momentum of the two objects after the collision.

find out the speed of the car from home to school in meters per second.
Time - 15 mins
Distance - 8 km​

Answers

1.875

Explanation:

speed = distance moved ÷ time taken

Which equation can correctly express the relation between force, acceleration, and mass?
a) F = m × a
b) F = m ÷ a
c) F = m − a
d) F = m + a

Answers

Hi there!

[tex]\large\boxed{\text{a) F = m * a}}[/tex]

According to Newton's Second Law, force is calculated with the formula:

F = m × a, where:

F = force (N)

m = mass (kg)

a = acceleration (m/s²)

Answer:

The Answer Is A . F= ma

Rerember Newtons second law of motion.

PLSS HELPPP

A ball is at rest on a trapdoor. State the forces acting on the ball, including the direction they act it.

Answers

Explanation:

Weight/gravity - Downwards

Normal force - Upwards

keep in mind that the length of the arrows of both the weight and the normal forces have to be equal since these are vectors and are equal to each other to cancel each other out

Lucas pushes on a car stuck in a ditch with a force of 1000 N for 15 minutes. The car remains stuck. How much work did Lucas do?
Your answer:
O 66.7)
0 0
o 1.22)
O 22,000

Answers

Answer:

I think it would be the second answer...

Explanation:

Hope this helps!

Lucas do a work of 0 joule. Hence, option (B) is correct.

What is work?

The notion of work in science is significantly different from what it is understood to entail in ordinary life. Every time work is performed, energy is transmitted, as shown by the definition of work in physics.

A force must be applied and there must be movement in the force's direction for a work to be completed scientifically. Having said that, we may state that The product of the component of the force acting in the displacement's direction and its magnitude is work.

Mathematically work done can be expressed as:

work done = force × displacement × cosθ

Where θ is the angle between the force and the displacement .

Here, the  car remains stuck, that means, no displacement happens. So. Lucas do a work of 0 joule.

Learn more about work here:

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IF YOU ANSWER I WILL MARK YOU BRAINLIEST
PPLLSSS

Answers

Answer:

the mushrooms

mushrooms are decomposers because they break down organic material around them.

For every action, there is an equal and opposite reaction.

Does the statement describe a scientific law?

Answers

Answer:

This is newton's 3rd law

Explanation:

The same wave travels for 2 seconds, what is its frequency?*

Answers

Answer:

In waves distance is measured by wave length  and time is measured by frequency or period.

velocity ratio=wave length multiply by frequency.

HENCE, if the same wave travels for 2 econds its frequency will be 2Hz.

Explanation:

Which property of the coating on fiber-optic strands makes light visible only at the ends of the strands?

reflectivity
absorbency
transparency
translucency

Answers

The answer I got was reflectivity

The answer is A, Hope this helps and sorry for being late :)

A pendulum makes 50 complete swings in 2 min 40 second . what is time period for 1 complete swing?

Answers

Answer:

3.2 seconds

Explanation:

50 swings = 2 mins 40 secs

= 50 swings = 2 x 60 + 40 secs

= 50 swings = 160 secs

= 1 swing = 160 / 50 secs

= 1 swing -= 3.2 secs

A 8.6*10^ -6 C charge is places 1.00 m away from a 2.3 * 10 ^ - 4 * C charge. How large is the force of repulsion between the two charges?

Answers

Answer:

The force of repulsion is 17.802 N

Explanation:

Given;

magnitude of the first charge, q₁ = 8.6 x 10⁻⁶ C

magnitude of the second charge, q₂ = 2.3 x 10⁻⁴ C

distance between the two charges, r = 1 m

The force of repulsion is calculated using Coulomb's law;

[tex]F = \frac{Kq_1q_2}{r^2} \\\\F = \frac{9\times 10^9 \times 8.6\times 10^{-6} \times 2.3\times 10^{-4}}{1^2} \\\\F = 17.802 \ N[/tex]

Therefore, the force of repulsion is 17.802 N

A body at rest or moving with uniform velocity will have acceleration equals
to:
A.
1
B.
0
C.
Negligible
D.
Infinity

Answers

Answer:

B:O

Explanation:

As acceleration is the rate of change of velocity with time, if velocity is uniform, there will be no change in it and acceleration will be zero.

What is the difference between the mass
number and atomic numberof an atom​

Answers

Atomic mass is the total number of neutrons and protons in the nucleus of an atom, where as Atomic Number is the total number of protons existing in the nucleus of an atom. Atomic Mass vs. Atomic Number
Mass number- The sum of the number of protons and the number of neutrons in an atom

Atomic number- The number of protons in an atom

Which of these historical events led to a major imbalance in the carbon cycle?
A. American Revolution
B. American Civil War
C. The Industrial Revolution
D. The Renaissance

Answers

Answer:

C

Explanation:

I think it's industrial revolution because many industries were developed which emitted a lot of carbon gases in the atmosphere.

The Industrial Revolution events led to a major imbalance in the carbon cycle. The correct option is C.

What is Industrial Revolution?

The Industrial Revolution, which began in the late 18th century and continued through the 19th century, led to a major increase in the burning of fossil fuels such as coal, oil, and gas. This led to a significant increase in carbon emissions and a disruption of the natural carbon cycle.

Prior to the Industrial Revolution, the carbon cycle was relatively balanced, with carbon being naturally cycled through the atmosphere, oceans, plants, and animals. However, the burning of fossil fuels has released large amounts of carbon dioxide(CO₂) into the atmosphere, which has led to an increase in atmospheric carbon dioxide(CO₂) levels and contributed to global warming and climate change.

Other historical events such as the American Revolution, American Civil War, and the Renaissance did not have a significant impact on the carbon cycle in the same way that the Industrial Revolution did.

Therefore, The correct answer is C i.eThe Industrial Revolution.

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(02.06)plz help me 20 points ​

Answers

Answer:

the answer is 80 degrees

Explanation:

Magnitude of force F experienced by a certain object moving with speed v is given by F=Kv race to 2, where K is constant. Find the dimension of K

Answers

Answer:

MT⁻¹

Explanation:

Given equation:

F = Kv        --------------(i)

Where;

F = Magnitude of force experienced by the object

v = speed at which the object is moving

K = constant.

To get the dimension of K, follow the following steps:

i. Make K subject of the formula in equation(i)

K = F / v

ii. Get the dimension of force F and speed v

Dimension of force = MLT⁻²

Dimension of velocity = LT⁻¹

iii. Substitute these dimensions into the result of (i) above;

K = MLT⁻² / LT⁻¹

iv. Simplify the result in (iii)

First, the Ls in the numerator and denominator will cancel out

K = MT⁻² / T⁻¹

Next, the Ts will be expressed as follows

K = MT⁻² x T¹           [using the law of indices]

K = MT⁻²⁺¹

K = MT⁻¹

Therefore, the dimension of K is MT⁻¹

Question 18 of 25
Which type of wave occurs where two different mediums meet?
A. Transverse
B. Electromagnetic
C. Longitudinal
D. Surface

Answers

The type of wave that occurs where two different mediums meet is known as a transverse wave. Hence, option A is correct.

What are waves?

Wave is the regular, systematic spread of disturbances from one location to another. The ripples that travel on water's surface are the most well-known, but waves also exist in sound, sight, and the movement of subatomic particles.

The disturbance periodically oscillates with a set frequency and wavelength in the simplest waves. In contrast to electromagnetic waves, which can travel in a vacuum, mechanical waves, like sound, need a medium to move through. The characteristics of the medium affect how a wave travels across it.

A transverse wave's crest and trough are the high and low points, respectively. The shock absorbers and rarefactions of longitudinal waves are comparable to the troughs and crests of transverse waves. The wavelength is the separation between subsequent crests or troughs.

To know more about Waves:

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PLS HELPP HURRYYY

The trapdoor swings open and the ball falls to the ground. The ball does not bounce when it hits the ground. Show that the final speed of the ball at the instant before it hits the ground is about 5 m/s.

Answers

Answer:

5 m/s

Explanation:

As the ball falls to the ground, it is acted upon by a force which is due to the gravitational force. Hence, the ball falls with an acceleration called the acceleration due to gravity.

Let us assume that the acceleration due to gravity (g) = 10 m/s², Since initially, the body was at rest, hence the initial velocity (u) = 0 m/s. The height to the ground (h) = 1.3 m. Hence using the equation of motion, the final velocity (v) is:

v² = u² + 2gh

Substituting:

v² = 0² + 2(10)(1.3)

v² = 26

v = √26 = 5

v = 5 m/s

Discuss how our lives on Earth are directly related to our relationship and positioning with the Sun in our Solar System.

Answers

Answer:

They are because 1. New years culture benefits 2. Gives the right amount of heat as well as a day/ night cycle and the 4 seasons because of the earths tilt

Answer:

Explanation:

Our lives on earth are directly connected to the sun and our solar system because they give the right amount of heat and as well as the day and night cycle. Furthermore, due to the earth’s tilt, we get our four seasons which are very important to us as humans, getting different seasons and weather conditions.  

The solar system also affects the tides and  

A Long time ago, the Moon was closer to the Earth and spinning rapidly. The Moon’s tidal bulges didn’t align with the Earth, and the Earth’s gravity tugged on them, slowing the Moon’s spin and moving it farther away. As it moved farther away, the time it took to orbit once around the Earth increased: Its orbital period got longer. Eventually, the lengthening rotation of the Moon matched how long it took to go around the Earth. When that happened, the axis of the bulges pointed right at the Earth. That’s why the Moon only shows one face to us! It spins once per month and goes around us once per month.

Gravity is a force, and it weakens with distance. An important thing to note is that we measure gravity from the center of mass of an object, not its surface. One way to think of the center of mass of an object is the average position in an object of all its mass. For an evenly distributed sphere, that’s its center.

Since gravity weakens with distance, the force of Earth’s gravity on your head is less than it is on your feet, it’s way too small for you to ever notice. This change in the force of gravity over distance is what astronomers call the tidal force. The overall effect of the tidal force is to stretch an object.

The Moon has gravity. Just as the bulge is pulling the Moon ahead, the Moon is pulling the bulge back, slowing it down. Because of friction with the rest of the Earth, this slowing of the bulge is actually slowing the rotation of the Earth itself, making the day longer. The effect is small, but it’s measurable.

The constellations and astronomy give us our zodiac signs, and from previous knowledge, I know that zodiac signs impact our personalities greatly. If constellations were not found then zodiac signs wouldn’t have been created.  

what is unit of pressure?why is it called a derived unit ? give reasons​

Answers

Answer:

Unit of pressure is pascal (Pa)

The SI-derived unit of measurement for pressure. The pascal is one newton (an SI-derived unit itself) per square meter.

What is the mass of an object if a net force of 18 N causes it to accelerate at 15 m/s^2?

Answers

Answer:

1.2 kg

Explanation:

F = 18N

a = 15 m/s^2

F = ma

18 = 15m

m = 1.2 kg

Sure the answer is 1.2kg... by using F=ma then making m the subject so.. F/a=m then 18/15=1.2 and the unit is kg so.. 1.2kg

Sound travels slowest through gases _____________________. Group of answer choices because the molecules of gas are close together because gases are air because the molecules of gas are far apart because gases have the lowest temperature

Answers

Molecules is the anwser

Two loudspeakers are about 10 m apart in the front of a large classroom. If either speaker plays a pure tone at a single frequency of 400 Hz, the loudness seems pretty even as you wander around the room, and gradually decreases in volume as you move farther from the speaker. If both speakers then play the same tone together, what do you hear as you wander around the room?
A. The sound is louder but maintains the same relative spatial pattern of gradually decreasing volume as you move away from the speakers.
B. The pitch of the sound increases to 800 Hz, and the sound is louder but not twice as loud. It is louder closer to the speakers and gradually decreases as you move away from the speakers−except near the back wall, where a slight echo makes the sound louder.
C. As you move around the room, some areas seem to be dead spots with very little sound, whereas other spots seem to be louder than with only one speaker.
D. The sound is twice as loud−so loud that you cannot hear any difference as you move around the room.
E. At points equidistant from both speakers, the sound is twice as loud. In the rest of the room, the sound is the same as if a single speaker were playing.

Answers

Answer:

Chupapi moñaño mi bola mcnfjdjdkdjdkek

Explanation:

Two loudspeakers are about 10 m apart in the front of a large classroom. If either speaker plays a pure tone at a single frequency of 400 Hz, the loudness seems pretty even as you wander around the room, and gradually decreases in volume as you move farther from the speaker. If both speakers then play the same tone together, what do you hear as you wander around the room?

A. The sound is louder but maintains the same relative spatial pattern of gradually decreasing volume as you move away from the speakers.

B. The pitch of the sound increases to 800 Hz, and the sound is louder but not twice as loud. It is louder closer to the speakers and gradually decreases as you move away from the speakers−except near the back wall, where a slight echo makes the sound louder.

C. As you move around the room, some areas seem to be dead spots with very little sound, whereas other spots seem to be louder than with only one speaker.

D. The sound is twice as loud−so loud that you cannot hear any difference as you move around the room.

E. At points equidistant from both speakers, the sound is twice as loud. In the rest of the room, the sound is the same as if a single speaker were playing.sanro de la pinga Chupamelo

Which two pairs of labeled stars (A-G) in the diagram have the same temperature?

Answers

Answer:

Please find the graph file in the question:

Explanation:

The D and E will be having the same temperature as they lie on the same line drown from the temp axis if it was drawn.

1.Which car has zero acceleration?

2. which car is decelerating? ​

Answers

Answer:

1. B has no acceleration because the straight line shows that it's a constant speed not speeding up or down.

2. A because you can see the decline in speed as time goes on

Which of the motion variables is the same in both thex and y axis?
A) velocity
B) acceleration
C) time
D) displacement

Answers

Answer:

Acceleration (b) not sure tho

Explanation:

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