In a solar system, two comets pass near the sun, which is located at the origin. comet e is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and comet h is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units. part a: what are the vertices for the path of comet e

Answers

Answer 1

The vertices of the path of the comet e are (-12,0) and (+12,0) as it is moving an elliptical path.

Given, that the Sun is located at the origin.

Comet e is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse:

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose, Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16 &

a²=144

a = 12

and,

b²=400

b=20

So, Centre (0, -16),

Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet e are (-12,0) and (+12,0).

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Related Questions

A length 550cm of thin thread wraps around a cylinder exactly 25 times calculate the circumference and the radius of the cylinder. ​

Answers

Answer:

3.5

Explanation:

hope it helps good day

When you attract every object in the universe with a force that is proportional to the mass of the objects and to the distance between them, you are obeying which law?

Answers

When you attract every object in the universe with a force that is proportional to the mass of the objects and to the distance between them, we are obeying Newton's law of universal gravitation.

Newton's law of universal gravitation

Newton's law of universal gravitation states that the force of attraction between two masses in the universe is directly proportional to the product of the masses and inversely proportional to the the square of the distance between them.

The mathematical interpretation of the above law is

F ∝Mm/r²

Removing the proportionality sign,

F = GMm/r².

Where:

F = Force of attractionG = Gravitational constantM = Bigger massm = Smaller mass r = Distance between the masses.

From the above, When you attract every object in the universe with a force that is proportional to the mass of the objects and to the distance between them, we are obeying Newton's law of universal gravitation.

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Describe the mass of the reactants and products given in the balanced chemical equation

Answers

When the chemical response is balanced, the mass of the reactant is equal to the mass of the reactant.

Grounded on the law of Conservation of Mass

We balance the chemical equation since tittles aren't destroyed in the process and the mass is conserved. The mass of the reactant is equal to the mass of the product. No new titles are created or destroyed, there was only rearrangement or regrouping of tittles. This also means the number of titles of rudiments in both the product and reactant is equal.

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A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension. This string produces a 100-Hz tone when it vibrates in the third harmonic. The speed of sound in air is 344 m/s. The tension in the string is closest to

Answers

The tension in the given string of 1.0 g and length of 0.64 m is closest to 2.84 N

Tension in the string

The tension in the string at nth harmonic is calculated as follows;

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }[/tex]

where;

n th harmonic = 3L is length of the string = 0.64 mμ is mass per unit length = (1 x 10⁻³ kg)/(0.64 m) = 0.00156 kg/mf is frequency = 100 HzT is tension in the string = ?

[tex]f_n = \frac{n}{2l} \sqrt{\frac{T}{\mu} }\\\\\frac{f_n(2l)}{n} = \sqrt{\frac{T}{\mu} }\\\\\frac{f_n^2(4l^2)}{n^2} = \frac{T}{\mu} \\\\T = \mu (\frac{f_n^2(4l^2)}{n^2})\\\\T = 0.00156(\frac{100^2 \times 4\times 0.64^2}{3^2} )\\\\T = 2.84 \ N[/tex]

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a ball is thrown upward from the ground with an initial velocity of 50m/s. what is the total time spent by the ball in the air (g=10m/s2)​

Answers

Answer:

[tex]\fbox {5 seconds}[/tex]

Explanation:

The formula which is used here :

[tex]\fbox {v = u + at}[/tex]

[tex]\longrightarrow \textsf {v : final velocity}[/tex]

[tex]\longrightarrow \textsf {u : initial velocity}[/tex]

[tex]\longrightarrow \textsf {a : acceleration}[/tex]

[tex]\longrightarrow \textsf {t : time taken}[/tex]

Solving :

v = u + at

0 = 50 + (-10)t

10t = 50

t = 5 seconds

which factors can change the size of the shadow of an opaque object

a)the color of the object b)the material the object is made from

c)how far the object is from the light source d)the size of the screen

Answers

Answer:

it have two answers a and c

Explanation:

please mark me as brainlyst

Answer: c)how far the object is from the light source
              d)the size of the screen

The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object. If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.

The angle at which a light strikes an object affects the size and shape of its shadow. Shadows are longer when the light source is at a low angle (side on) and shorter when the light source is at a higher angle (overhead).

The position of the light source can change the size and shape of a shadow. A good example would be, when we are outside on a sunny day, we can see how our shadows change throughout the day. The Sun's position in the sky affects the length of the shadow.

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┏━∪∪━━━━┓
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and electric motor lifts an elevator a vertical distance of 18.0m in a time of 30.0s by exerting an upward force of 6.0x10^3 N . what power does the electric motor produce?

Answers

Answer:

[tex]\fbox {3.6kW}[/tex]

Explanation:

Formula used :

[tex]\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}[/tex]

Given :

⇒ F = 6 × 10³ N

⇒ S = 18 m

⇒ t = 30 s

Solving :

⇒ P = 6 × 10³ × 18 / 30

⇒ P = 2 × 100 × 18

⇒ P = 3600 W

⇒ P = 3.6kW

hello,help me with this out please i need it hurry but please ensure your answer is correct..I attach here with my question.
Topic:Forces in equilibrium.

Answers

Answer:

.409 N

Explanation:

For this to balance, the moments around the fulcrum must sum to zero.

On the left you have   .21   ( is that down? I will assume it is)

      Counterclockwise moments :

        .21 * 40     +  1.0 * 20    

     Clockwise moments :

        .5 * 20     +     F * 45

these moments must equal each other

.21*40 + 1 *20   =  .5 * 20 + F * 45

   F = .409 N

all white dwarfs have masses in a small range—from about 0.5 to almost 1.4 malchemist sun symbol. why? (select all that apply.)

Answers

A white dwarf cannot support its own weight by its degenerate pressure if its mass is greater than 1.4 solar masses.

What are white dwarfs?

White dwarfs are stellar core remnant composed mostly of electron-degenerate matter.

White dwarf is very dense due to its large mass and smaller volume.

Reasons for comparable mass of white dwarfs and SunStars with main sequence masses less than about 0.5 solar masses cannot ignite the helium fusion required to become white dwarfs.A white dwarf cannot support its own weight by its degenerate pressure if its mass is greater than 1.4 solar masses.

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1. When building a house using bricks a damp course is laid just above the brick foundation. Explain why the damp course is necessary​

Answers

Answer:

Damp Proofing:

Explanation:

The presence of damp proofing is very necessary to maintain the health of a structure. DPC plays an important role in all types of buildings and it should be necessary to know about the importance, requirements, and properties of DPC. In many of the buildings all over the world, the rising damp may be due to a damaged damp-proof course, or sometimes, there may be not any damp proof course in a building.

3. Magnetite is
a) Natural magnet
(b)Artificial magnet
(c) Not a magnet ​

Answers

[tex] \huge \bold \red {Aɴswᴇʀ}[/tex]

Magnetite is a Natural magnet

the answer would be a magnetite is a natural magnet

One of the properties of alkali metals is that they don’t react with water.

Answers

Beryllium (Be) is the only alkaline earth metal that does not react with water.

What are alkali metals and their properties?

Alkali is a substance that produces hydroxide ions in aqueous solution.

PHYSICAL PROPERTIES OF ALKALIS:

Alkalis have a BITTER taste & have a SOAPY touch.Alkalis turn RED litmus paper BLUE.Alkalis have a pH value > 7.Alkalis are CAUSTIC.Alkalis CONDUCT ELECTRICITY due to the presence of MOBILE IONS in solution.

CHEMICAL PROPERTIES OF ALKALI METAL

Alkalis react with Acids to form salt and water. This reaction is called neutralisation reaction.Alkalis react with ammonium salts to form salt, water and ammonia gas. .Alkalis react with solution of metal salt to form another metal salt and hydroxide.

Beryllium (Be) is the only alkaline earth metal that does not react with water.

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Transparent or translucent materials
are used to make



A stop signs



B suitcases



C color filters





D toothbrushes

Answers

Answer:

C

Explanation:

you need to be able to see through a colour filter, which means youd need transparent or translucent

Transparent materials passes light and they reflect also. The color filters are made by transparent or translucent materials. Thus option c is correct.

What is transparency?

The ability of a material to pass light through it is called transparency. Some transparent materials can reflect the light. For example mirror, glasses etc. The materials which passes light but are not transparent is called translucent materials.

The material which does not pass light inside is called opaque. Wood, plastics etc. are opaque materials. Transparent covers, glasses make their inside visible.

Colour filters are made by transparent or translucent materials. They are used to filter or choose a particular colour from a group of reflected lights.

Color filters are used in spectrometers and other optical devices. They filter the incoming wavelengths to select the desired one. Hence, option c is correct.

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Which of the following consists of photovoltaic cells?
1. Solar panels
2. Rube Goldberg device
3. Solar oven
4. Electric generator

Answers

the answer is number 1 solar panels

A spring with a force constant of 3x10^3 Nm-1 is used to measure the mass of an object. If the spring extends by 5cm when the object is hung from it, the mass of the object is

Answers

Answer:

15.29 kg

Explanation:

F = k * d                  5cm = .05 m

 = 3 x 10^3  n/m     *   .05 m  = 150 N

                                                =  150 kg -m / s^2

150 kg- m / s^2   / 9.81 m/s^2 =15.29kg

Which of the following would increase the amount of electricity generated by a wind turbine

Answers

Higher wind speeds would increase the amount of electricity generated by a wind turbine.

What is a power plant?

A power plant is an industrial structure that generates electricity. The majority of power plants are linked to the electrical grid.

Stronger winds produce greater power because they enable the blades to revolve more quickly. Greater mechanical and electrical power from the generator result from faster spinning.

Hence, higher wind speeds would increase the amount of electricity generated by a wind turbine.

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3. State Newton's first and second laws of equation. A. A body of mass 2kg move vertically upwards has its velocity increased uniformly from 15m/s to 45m/s in 5s. neglecting air resistance, the upward vertical force acting on the body. [g=10ms 2] B. The velocity ratio and efficiency of pulley are 8 and 85% respectively. How much effort is required to lift a load of 120kg with this system [g=10m/s²] ​

Answers

Answer:

See below.

Explanation:

Newton's First Law

A body at rest persists in its state of rest, and a body in motion remains in constant motion along a straight line unless acted upon by an external force.

Newton's Second Law

A body's acceleration is directly proportional to the force exerted on it and is in the same direction as the force.  F=mA  (Force = Mass x Acceleration)

==============================================

A. A body of mass 2kg move vertically upwards has its velocity increased uniformly from 15m/s to 45m/s in 5s. neglecting air resistance, the upward vertical force acting on the body. [g=10ms 2] B. The velocity ratio and efficiency of pulley are 8 and 85% respectively. How much effort is required to lift a load of 120kg with this system [g=10m/s²] ​

Force = Mass x Acceleration

Acceleration is (45m/s - 15 m/s)/5 sec) or 6 m/sec^2

Force = 2kg*(6 m/sec^2)

Force = 12 kg*m/s^2    1 kg*m/s^2 is the SI unit for force, and is named 1 Newton(N), after . . . Newton.

Force = 12N

B.  I'm not sure how to interpret "The velocity ratio and efficiency of pulley are 8 and 85% respectively."  I'll assume "effort" is the energy required.  

I'll calculate the energy required in a perfect system, and then we'll consider the efficiency issues.

By lifting an object with mass off the Earth's surface (height = 0 meters) we impart a potential energy, PE, to the object.  This energy is stored in the object until it is allowed to move back closer to Earth.  This potential energy is given by the equation:

PE = mgh

where PE is potential energy in Joules, m is mass in kg, g is the acceleration due to Earth's gravity (9.8 m/sec^2, but we'll use 10 m/sec^2 as stated in the problem), and h is the vertical distance moved, in meters.

PE = (120kg)(10 m/sec^2)(h).  We aren't given a height, h.  Let's express the answer in terms of 1 meter:  How much potential energy is put into the 120kg load to raise it 1 meter?

PE = (120kg)(10 m/sec^2)(1 m)

PE = 1200 kg*m^2/sec^2 or 1200 kg*m/sec^2 per meter

The unit kg*m/sec^2 is 1 Joule

PE = 1200 Joules/meter

1200 Joules are required to raise 120kg 1 meter.  This is increased due to the less-tha-100% efficiency of 85%.

At 85% efficiency, the energy required would be 1200J/0.85 = 1412 J to raise 120kg 1 meter, with 85% efficiency,   I don't6 know how to handle the velocity ratio number.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

solar power—generating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid are called ________.

Answers

Concentrated solar power facilities are solar powergenerating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid .

What is solar power?

Solar power refer to electric power or electricity that is generated from sun rays or radiations while using solar panels and other technologies.

Therefore, Concentrated solar power facilities solar powergenerating facilities that generate electricity at large centralized facilities and transmit that power to homes and businesses through the electric grid.

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When the light bulb is lit, a current is flowing through it. what condition must be met so that a current flows

Answers

Closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.

What are the basic conditions for the flow of electric current?

The loop from where the current passes must be closed. There must be some current in the circuit in order to lit the bulb. The medium through which current flows should be a conductor.

So we can conclude that closed loop, conductor medium and presence of current in the wire are the conditions must be met so that a current flows.

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What type of reaction is being shown in this energy diagram?

A. Endothermic, because the reactants are higher in energy
B. Exothermic, because the products are higher in energy
C. Endothermic, because the products are higher in energy
D. Exothermic, because the reactants are higher in energy

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Exothermic \:\;Reaction[/tex]

[ because reactants higher in energy ]

____________________________________

[tex] \large \tt Explanation \: : [/tex]

By the given graph, conclusion can be made that reactants have higher energy than products, hence for the reaction to take place, reactants must loose energy to form products. And once the energy is released, that reaction is called Exothermic.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Eclipses and Moon Phases Activity Student sample of a modeled eclipse. This lesson highlighted eclipses and lunar phases. If you had to teach another person about the difference between the two events, how would you explain it

Answers

An eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

What is an eclipse?

An eclipse is an astronomical phenomenon where one celestial body (e.g., sun, moon) cannot be observed because another is interposed between the Earth and the first one.

Eclipses can be divided into moon eclipses (we cannot see the moon) and sun eclipses (we cannot see the sun).

On the other hand, moon phases occur due to how sunlight reflects the near side of the Moon.  

Moon phases can be divided into:

New MoonFirst QuarterThird QuarterFull Moon

In conclusion, an eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

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Answer: the other person explained it all

Explanation:

which of the numbers on this figure indicates typical continental conditions (regional metamorphism)?

Answers

The number that indicates typical continental conditions (regional metamorphism) is that showing schist and gneiss rocks.

What is regional metamorphism?

Regional metamorphism occurs when rocks undergoes changes as a result of high temperatures and pressure deep within the earth's crust.

Regional metamorphic rocks are usually foliated or squashed in appearance.

Examples of regional metamorphism rocks are schist and gneiss rocks.

Therefore, the figure that indicates typical continental conditions (regional metamorphism) is that showing schist and gneiss rocks.

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What local group of galaxies is the Milky Way part of?


Quasar Cluster


Andromeda Mini-Cluster


Virgo Supercluster


Hubble Open Cluster

Answers

The local group of galaxies which the Milky Way belong to is the Virgo Supercluster. C

What are Virgo Supercluster?

The Virgo Supercluster as known as the Local Supercluster is a mass concentration of galaxies that contains the Virgo Cluster and Local Group which in turn contains the Milky Way and Andromeda galaxies, as a host as others galaxies.

Therefore, the local group of galaxies which the Milky Way belong to is the Virgo Supercluster.

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What is the kinetic energy of a 12 kg ball moving at a speed of 15 m/s?

Answers

Answer:

1350 N

Explanation:

KE = ½mv²

KE = ½(12)(15²)

KE = 1350 N

A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?

Answers

Explanation:

vertical force = 460,000 * sin(70) - 300,000

Fv = 187,717.75N

A doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the other side, as shown in the image below. If the ball rises with a force of 150 N, what pressure did the patient apply to his side of the tube?



A.
0.15 Pa

b.
150Pa

c.
100,000 Pa

D.
150,000 Pa

Answers

The patient apply pressure to his side of the tube is 15 x 10⁴ N/m². The correct option is D.

What is pressure?

The pressure is the amount of force applied per unit area. It is represented as

Pressure p = Force/Area

Given is a doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the other side. The ball rises with a force of 150 N. The cross section are of the tube is 0.001 m³

The pressure applied is

p = 150 /0.001

p = 15 x 10⁴ N/m²

Hence, the patient apply pressure to his side of the tube is 15 x 10⁴ N/m².

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VR is always greater than MA. why?

Answers

Answer:

The mechanical advantage (M.A) of a real machine is always less than its velocity ratio(V.R) because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant.

help in solving this question please
(question is on the picture )

Answers

Answer:

Jesus

Explanation:

he is the way

draw suitable diagrams where necessary
1. describe an experiment for the measurement of specific heat capacity of a liquid by principle of mixtures

Answers

The experiment is described below in the explanation.

What is specific heat?

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

In a calorimeter, a liquid is filled into the the cup with a temperature. A rod with high temperature is inserted into that liquid.

We use principle of  mixture by putting a heated rod in a liquid and then measuring the rise of temperature of liquid.

So, heat is lost by rod and gained by liquid and colorimeter.

Thus, experiment is described.

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What cloud extending to the gravitational limits of the solar system would comets come from?.

Answers

The Oort cloud extends to the gravitational limits of the solar system would comets come from.

What is oort cloud?

It is a hypothetical idea of a cloud of mostly frozen planetesimals that would orbit the Sun at distances between 2,000 and 200,000 AU.

The Oort cloud reaches the solar system's outer gravitational boundaries, where comets originate.

Hence cloud extending to the gravitational limits of the solar system will be oorto cloud.

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