The Cartesian coordinate of a point in the xy plane are (x,y)=(-3.50,-2.50)m. Find the poler coordinate of this point

Answers

Answer 1

Answer:

The polar coordinate of [tex]P(x,y) = (-3.50\,m,-2.50\,m)[/tex] is [tex]P (r,\theta) = (4.301\,m, 215.538^{\circ})[/tex].

Explanation:

Given a point in rectangular form, that is [tex]P(x,y) = (x,y)[/tex], its polar form is defined by:

[tex]P(x,y) = (r,\theta)[/tex] (1)

Where:

[tex]r[/tex] - Norm, measured in meters.

[tex]\theta[/tex] - Direction, measured in sexagesimal degrees.

The norm of the point is determined by Pythagorean Theorem:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (2)

And direction is calculated by following trigonometric relation:

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (3)

If we know that [tex]x = -3.50\,m[/tex] and [tex]y = -2.50\,m[/tex], then the components of coordinates in polar form is:

[tex]r = \sqrt{(-3.50\,m)^{2}+(-2.50\,m)^{2}}[/tex]

[tex]r \approx 4.301\,m[/tex]

Since [tex]x < 0\,m[/tex] and [tex]y < 0\,m[/tex], direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:

[tex]\theta = 180^{\circ}+\tan^{-1} \left(\frac{-2.50\,m}{-3.50\,m} \right)[/tex]

[tex]\theta \approx 215.538^{\circ}[/tex]

The polar coordinate of [tex]P(x,y) = (-3.50\,m,-2.50\,m)[/tex] is [tex]P (r,\theta) = (4.301\,m, 215.538^{\circ})[/tex].


Related Questions

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Answers

Answer:

true

Explanation:

as long as it is the right conductive material

What happens to the molecules when the liquid changes phase?

Answers

A phase change is occuring; the liquid water is changing to gaseous water, or steam. On a molecular level, the intermolecular forces between the water molecules are decreasing. The heat is providing enough energy for the water molecules to overcome these attractive forces.

Hopefully this helps if it did could I maybe get brainliest? It’s alright tho have a good day!!

Answer:

A phase change is occuring; the liquid water is changing to gaseous water, or steam. On a molecular level, the intermolecular forces between the water molecules are decreasing. The heat is providing enough energy for the water molecules to overcome these attractive forces.

Explanation:

what is the acceleration of a football (.43kg) thrown with a force of 25N

Answers

Answer:

Explanation:

Newton's 2nd Law

F = ma

25 = (0.43)a

a = 58.14 m/s^2

Describe how sound signals can be transmitted from a radio station and received on a radio at your home. Create a labeled diagram that shows this process

Answers

A radio wave is generated by a transmitter and then detected by a receiver. An antenna allows a radio transmitter to send energy into space and a receiver to pick up energy from space. Transmitters and receivers are typically designed to operate over a limited range of frequencies

Answer:

The person above is right.

Explanation:

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About 50 000 years ago, in an area located outside Flagstaff, Arizona, a giant
4.5 x 107-kg meteor fell and struck the earth, leaving a 180-m-deep hole now
known as Barringer crater. If the meteor was traveling at 20 000 m/s upon
impact, with what average force did the meteor hit the earth?​

Answers

Answer:

F_A =5.625*10^1^6N

Explanation:

From the question we are told that

50,000 years ago,

A giant 4.5 107-kg meteor

180-m-deep hole

20,000 m/s

Generally for this problem the energy change is given as

\triangle E=\frac{1}{2} mv^2 +mgd△E=

2

1

mv

2

+mgd

Having the potential and kinetic energy in place

Mathematically solving for Average forceF_AF

A

\triangle E=F_a*d△E=F

a

∗d

F_A =\frac{1/2* 4.5*10^7(20,000)^2-kg+4.5*10^7*9.81*160}{160}F

A

=

160

1/2∗4.5∗10

7

(20,000)

2

−kg+4.5∗10

7

∗9.81∗160

Therefore Average force F_AF

A

is given by

F_A =5.625*10^1^6N

What are the dangers of a thunderstorm and how do you stay safe during the thunderstorm?

Answers

Answer:

you get struck by lightning

Explanation:

hide in ur house

Answer: The dangers of thunderstorms is lightning, flash floods, and thunder.

To stay safe stay inside, do not take a shower/bath, stay away from waterfalls, and try not to touch anything metal.

A 2.75 kg block is pulled across a flat, frictionless floor with a 5.11 N force directed 53.8° above horizontal. What is the total force acting on the block? (total force = N)

Answers

Answer:

F = 3.01 N

Explanation:

Given that,

Mass of a block, m = 2.75 kg

Force applied to the block, F = 5.11 N

It is directed 53.8° above horizontal.

We need to find the total force acting on the block. The force acting on it is given by :

[tex]F=F\cos\theta\\\\F=5.11\times \cos53.8\\F=3.01\ N[/tex]

So, 3.01 N of force is acting on the block.

3.01 works as the right answer

What is the difference between a pure
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Answers

 A pure substance cannot physically be separated, and is made out of one atom (or molecule). Unlike a mixture, however, which are made out of two or more atoms or molecules. A solution in itself is the example of a mixture. (The composition of a pure substance being fixed, and a mixture's being varying depending on which.) And a solution branching off from a mixture into being either homogeneous mixtures or heterogeneous mixtures.

srry it kinda turned into a paragraph lol, feel free to add or take away anything :)

Help me please....
Fill in the blanks:
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Answers

Answer:

1) Time period

2) amplitude

3) Hertz or hz

4) Noise

5) frequency

6) infrasonic and ultrasonic

7) solid liquid and gas

8) A man

9) energy

10)1 vibration per minute

Answer: Time taken by an object to complete one oscillation is called time PERIOD.

Explanation:Hope this helps!! Brainlist?plz I need it

What is the mass of a tennis ball traveling with a velocity of 3 m/s and a momentum of
0.25 m/s? (1 point)
a. 0.08 kg
b. 0.5 kg
c. 9 kg
d. 18 kg

Answers

Answer:

Explanation:

P = mv  

m = P/v

m = .25/3 = .08 Kg ... A

what are two reasons communication is important in scientific research

Answers

Answer:

It allows them to write better and more comprehensible research papers. As well as being able to communicate the relevance and impact of their ideas and discoveries.

Explanation:

100 POINTS!!!!! YES,!!!!!!!! I SAID !!!!!!!100 POINTS!!!!!!!! FIRST TO ANSWER IT CORRECTLY AND ILL GIVE BRAINLY (LOOK IN THE TWO PICS TO FIND AND THE CORRECT ANSWERS)!!!!!!!!

Answers

"thanks for the points!!! and have a  (terrible) day"  - puppetasap4 :)

Answer:

"thanks for the points!!! and have a  (terrible) day"  - puppetasap4 :)

Explanation:

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Answers

Answer:

The momentum of bike is more.

Explanation:

Given that,

Mass of the kid, m = 100 kg

Speed of the bike, v = 10 m/s

The momentum of the kid is given by :

p = mv

So,

p = 100 kg × 10 m/s

p = 1000 kg-m/s

Mass of the truck, m = 5000 kg

Speed of the truck, v = 0.1 m/s

The momentum of the truck is given by :

p = 5000 kg × 0.1 m/s

= 500 kg-m/s

So, the momentum of the kid riding a bike is more than that of the truck.

A 34.00 kg sample of mud has a specific heat of 2,512 J/kg °C.

If sunlight striking the mud supplies it with 1,069,546 J of energy, by how much does the mud's temperature increase?
A.
166°C
B.
12.52°C
C.
31.53°C
D.
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Answers

Answer:

B ig lol

Explanation:

Please answer I need help

Answers

Answer:

I have attached a picture of me explaining the answers in written format. Hope this helps, thank you !!

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Answers

A shopkeeper uses a force of 50N to lift a box to a shelf 1.5m high. How much work is done?

What is the potential difference when the current in a circuit is 5mA and resistance is 30 Ohms

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf• \: The \: current \: in \: a \: circuit \: is \: 5 \: amps. \: and \: resistance \: is \: 30 \: Ohms.[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find :- }}[/tex]

[tex] \sf{• \: The \: Potential \: Difference. }[/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{ Solution:- }}[/tex]

[tex] \sf According \: to \: the \: question, [/tex]

[tex] \sf• \: Current \: (I) = 5 \: Amps.[/tex]

[tex] \sf• \: Resistance \: (R) = 30 \: Ω[/tex]

[tex] \sf{Potential \: difference \: means \: Voltage \: ( V).}[/tex]

[tex] \sf{We \: know \: that, }[/tex]

[tex] \bf \red{ \bigstar{ \: V = IR }}[/tex]

[tex] \rightarrow \sf V =5 \times 30[/tex]

[tex] \rightarrow \sf V =150[/tex]

[tex] \\ [/tex]

[tex] \sf \purple{Therefore, \: the \: potential \: difference \: is \: 150 \: v \: .}[/tex]

A cars velocity changes from 0 m/s to 30 m/s in 10 seconds. Calculate acceleration.

Answers

Answer:

3 m/s^2

Explanation:

acceleration = vf-vi/t = (30 m/s-0 m/s)/10 s = 3 m/s^2

Over many years a limestone surface is exposed to slightly acidic rain. Which result is likely to occur in the limestone

Answers

Answer:

calcium carbonate is transformed into calcium sulfate

Explanation:

Limestone stones are formed by calcium carbonate (Ca Co3), when acid rain falls with a little H2SO2, a chemical reaction of the type

          Ca Co3 + H2SO4 → CO2 + H2O + CaSo4

Calcium sulfate is much weaker than alatium carbonate, which is why the stone tends to break under its weigh

please answer correctly

Answers

Answer:pretty sure it’s 3

Explanation:

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Answers

The universe is a vast expanse of space.

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hope that helped.

What moon phase will be observed after the waning crescent ?

Answers

the last picture of the moon/ all dark one.

what percentage of americans get no exercise in a day

Answers

Answer:

95%

Explanation:

Answer:

0%

Explanation:

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What is the atomic mass of fluorine rounded to the nearest whole number?

Answers

Answer:

195

Explanation:

the force that works against motion and tries to slow objects down is called

A.acceleration
B.Gravity
C.friction
D.Speed ​

Answers

Answer:

C.friction  

Explanation:

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Answers

Answer:

the first one is Primary

the second one I think it's Mature but I don't know

I WILL GIVE BRAINLIEST!!!

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Answer:

is that high school work??? cause I don't know it and I'm about to go to high school

a screwdriver wheel has a radius of 5cm while the axle has a radius of .5cm. what is the mechanical advantage of the screwdriver?​

Answers

Answer:10cm

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a body of mass 10kg moving with a velocity 4m/s strikes a vertical wall horizontally and returns back with same velocity. find the impulse exerted on the wall if the time of contact is 0.02s​

Answers

Answer:

1.96Ns

Explanation:

Impulse = Ft = m(v-u)

Impulse = Force * time

Impulse = mgt

Impulse = 10 * 9.8 * 0.02

Impulse = 98*0.02

Impulse = 1.98Ns

Hence the impulse exerted is 1.96Ns

A boy of mass, m weights 895 N. What is his mass, m?

a) 895 kg
b) 8.95 kg
c) 89.5 kg
d) None of the above

Answers

Answer:

One: either C or D. I can't give you a definite answer. See below.

Two: D

Explanation:

One

F = m * a

F = 895 N

a = 9.8

m = F/a

m = 895/9.8

m = 91.82

This turned out to be a very nasty little question. I don't know how you should answer it. The closest answer is C but is it close enough? You have to decide if you've had approximation questions before. If you have, C is the answer. If not then D is what you should choose.

Two

The answer is III and IV which makes it D

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