Two stars in a faraway part of the Milky Way are orbiting each other as a binary star system. By
careful measurement we find out that they are separated by 1.7 AU. We also determine that
their orbital period is 594 Earth-days. The total mass of the two-object system is

Answers

Answer 1

Answer: [tex]M_{total}=[/tex] 1.85

Explanation: Estimate the total mass of a binary system is done by a reformulation of Kepler's Third Law, which states that the square of the period of a planet's orbit is proportional to the cube of its semimajor axis, i.e.:

[tex]a^{3}=(M_{1}+M_{2})P^{2}[/tex]

where

a is semimajor axis in astronomical units (AU);

P is period measured in years;

[tex]M_{1}+M_{2}[/tex] is total mass of the two-stars system;

For the two stars faraway in the Milky Way:

1 year is equivalent of 365 days, so period in years:

[tex]P=\frac{594}{365}[/tex]

P = 1.63 years

Calculating total mass:

[tex]a^{3}=(M_{total})P^{2}[/tex]

[tex]M_{total}=\frac{a^{3}}{P^{2}}[/tex]

[tex]M_{total}=\frac{1.7^{3}}{1.63^{2}}[/tex]

[tex]M_{total}=[/tex] 1.85

The total mass of the two-object system is 1.85 mass units.


Related Questions

''The Evolution Of Sakura And Hinata''

Who looks better?! Who do you think has improved a lot in the Naruto Series?

Answers

Answer:

hinata

Explanation:

unlike sakura she has not change at all

In my opinion, Sakura looks prettier and she developed way more than Hinata. Personally, I dislike the both of them because of their Tsundere side, but there's no doubt Sakura developed way more than Hinata. In the original Naruto series, Sakura was honestly a burden. There were some missions where Team 7 had to rescue Sakura. However, after the training with Tsunade, she gained monster strength and healing abilities. Additionally, throughout Naruto Shippuden she learned new jutsu like Yin Seal: Release.    

     However with Hinata, it's a bit more different. In the original Naruto series, I feel believe she was stronger than Sakura. She relied on her infamous visual prowess--the Byakugan. However in Naruto Shippuden, she improved slightly compared to Sakura. In my opinion, she would have been the most useless shinobi out of the eleven characters (YES, more useless than Tenten) if it weren't for her visual prowess. She's fortunate that she was born into the Hyuga clan. Every jutsu that's in her arsenal relies heavily on the Byakugan. And if Sakura and Hinata were to battle each other, it's most likely that Sakura would win. It's true that Hinata can block Sakura's chakra points, but I think she could dodge her attacks. And even if her chakra points are blocked, Sakura can rely on Taijutsu and raw strength to win.

Though both kunoichi are honorable, I believe Sakura is more prettier and stronger than Hinata.

Prove that you can do a one foot spin.

Answers

Ok that not a challenge

A T-shirt cannon mounted at the top of an arena needs to fire a t-shirt into the first row, a horizontal distance of 39 meters away. If the cannon launches t-shirts at 12 m/s, how high is the cannon mounted?
A.) 8.9 m
B.) 3.3 m
C.) 53.4 m
D.) 16.2 m

Answers

B.)3.3 would be the answer

please help i will mark brainliest
what does a speedometer measure?
a. accerlation
b. velocity
c. speed
d. average speed.

Answers

im pretty sure the answer is c; velocity is usually measure by a vector :)

Answer:

c. speed

Explanation:

Speedometer is a device used to measure the speed of a vehicle. I am pretty sure this is the correct option.

What is the relevant similarity in the following argument?



"If a single cell, under appropriate conditions, becomes a person in the space of a few years, there can surely be no difficulty in understanding how, under appropriate conditions, a cell may, in the course of untold millions of years, give origin to the human race"

a.
The human race is composed of many humans in the same way a human is composed of many cells

b.
understanding human biology is difficult and understanding the existence of the human race is difficult

c.
both involve biological processes of great complexity taking place under “appropriate conditions” and commencing with a single cell

d.
a person starts from a single cell and an animal life starts from a single cell

Answers

Your answer would be C

If the peak wavelength of a star at rest is 615 nm, then what peak wavelength is observed when the star is traveling 2,500,000 m/s toward the Earth.

Answers

Answer:

1612903nm

Explanation:

Doppler effect can be regarded as the change in frequency of a wave with respect toobserver that move relative to the wave source

We can expressed as

(λo - λs)/λs = v/s

λo= peak wavelength

λs= peak wavelength observed

C= speed of light

(λo -615×10^9 )/615×10^9 = 2,500,000/(3×10^8)

1.5375=3×10^8λo -184.5

1.5375+184.5=3×10^8λo

186=3×10^8λo

λo=1612903nm

Therefore the peak wavelength that is observed when the star is traveling away from the eart to the velocity given is 1612903nm

20 POINTS
In order to maximize the acceleration of an object, one should
maximize the mass
maximize the force
minimize the velocity
maximize the inertia

Answers

I think it’s the first one- maximise the mass

A nonmechanical water meter could utilize the Hall effect by applying a magnetic field across a metal pipe and measuring the Hall voltage produced.What is the average fluid velocity in m/s for a 4.25 cm diameter pipe, if a 0.575 T field across it creates a 60.0 mV Hall voltage?

Answers

Answer:

The velocity is  [tex]v =2.455 \ m/s[/tex]

Explanation:

From the question we are told that  

   The diameter of the pipe is  [tex]d = 4.25 \ cm = 0.0425 \ m[/tex]

    The magnetic field is  [tex]B = 0.575 \ T[/tex]

     The hall voltage is  [tex]V_H = 60.0 mV = 60 *10^{-3} \ V[/tex]

Generally the average fluid velocity is mathematically represented as

          [tex]v = \frac{V}{ B * d }[/tex]

=>       [tex]v = \frac{60*10^{-3}}{ 0.575 * 0.0425 }[/tex]

=>       [tex]v =2.455 \ m/s[/tex]

In the concluding paragraph, how does the author make the conflicting point of view that vegetarianism is strange and unnatural seem less reasonable?

Answers

Answer:

By pointing out that vegetarianism isn't contagious

Explanation:

I got this right on iready!

Answer:

by point out how food isn't contagious

Explanation:

got it right

During a baseball game, a batter hits a popup to a fielder 83 m away.
The acceleration of gravity is 9.8 m/s
2
.
If the ball remains in the air for 5.7 s, how
high does it rise?
Answer in units of m

Answers

Answer:

The height risen by the ball is 39.8 m.

Explanation:

Given;

total time spent in air by the ball, t = 5.7 s

time to rise to maximum height, t = 5.7 /2 = 2.85 s

The initial velocity of the ball is given by;

v = u - gt

where;

v is the final velocity at maximum height = 0

u is the initial velocity of the ball

0 = u - gt

u = gt

u = (9.8 x 2.85)

u = 27.93 m/s

The vertical height traveled by the ball is given by;

v² = u² - 2gh

where;

v is the final velocity of the ball at maximum height = 0

g is acceleration due to gravity = 9.8 m/s²

0 = u² - 2gh

2gh = u²

h = u² / 2g

h = (27.93)² / ( 2 x 9.8)

h = 39.8 m

Therefore, the height risen by the ball is 39.8 m.

Suppose the microphone on an AM radio is not working properly. Which best explains how this will affect the
process of amplitude modulation?
The frequency of the carrier wave will be modified instead of the amplitude.
Sound waves will not be transformed into electrical signals.
Electrical signals will not be transformed into sound waves.
The pulse of the carrier wave will be modified instead of the amplitude.

Answers

Answer:

B. Sound waves will not be transformed into electrical signals.

Explanation:

edge2021

Sound waves will not be transformed into electrical signals is the reason that microphone on an AM radio is not working properly.

What is a sound wave?

It is a type of mechanical wave composed of the disturbance caused by the movements of the energy. A sound wave travels through compression and rarefaction in an elastic medium such as air.

The microphone on an AM radio is not working properly means sound waves are not transforming into electrical signals.

Learn more about sound waves

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Sona wants to install room heater in her living room. She had only two options, either to install heater at the top of the window or near the ground level. . Which method of installing room heater would be the effective way . Why or Why not ?

Answers

Installing the heater near ground level is the better option because heat rises so putting it near the bottom will allow the warmth to rise and warm up more of the air in the room. Especially if it’s below the window because it will heat the cool air seeping through the window.

A series RCL circuit contains a 65.2-Ω resistor, a 2.26-μF capacitor, and a 2.08-mH inductor. When the frequency is 2400 Hz, what is the power factor of the circuit?

Answers

Answer:

The power factor of the circuit is 0.99

Explanation:

Given;

resistance of the resistor, R = 65.2 ohms

capacitance of the capacitor, C = 2.26 μF = 2.26 x 10⁻⁶ F

inductance, L = 2.08 mH = 2.08 x 10⁻³ H

frequency of the AC, f = 2400 Hz

The angular frequency is given by;

ω = 2πf

ω = 2π(2400) = 15081.6 rad/s

The inductive reactance is given by;

XL = ωL

XL = (15081.6 x 2.08 x 10⁻³)

XL = 31.37 ohms

The capacitive reactance is given by;

[tex]X_c = \frac{1}{\omega C} \\\\X_c = \frac{1}{(15081.6)(2.26*10^{-6} )}\\\\X_c = 29.34 \ ohms[/tex]

The phase difference is given by;

[tex]tan\phi = \frac{X_l - X_c}{R}\\\\ tan\phi =\frac{31.37-29.34}{65.2} \\\\tan\phi = 0.0311 \\\\\phi = tan^{-1} (0.0311)\\\\\phi = 1.78^0[/tex]

The power factor is given by;

CosФ = Cos(1.78) = 0.99

Therefore, the power factor of the circuit is 0.99

what are the laws of newton​

Answers

Answer:

Explanation:

These are the laws of Newton

Answer:

the first law, an object will not change its motion unless a force acts upon it. the 2nd one, the force of an object is equal to its mass times it acceleration. the 3rd one is when 2 objects interact, they apply forces to each other of equal magnitude and opposite direction.

When lightning occurs, it produces a sound wave and a light wave at the same exact time. If u are watching a faraway storm, which wave gets to you first?

Answers

Light wave gets to you first
Light travels faster than sound and is around 300000000 m/s which is faster than sound waves. And by experience, when you are looking out the window, you can see a quick flash of light (lightning), light moves very fast

What is exerted when atoms collide with the walls of their container?
O gravity
O pressure
O stress
O friction

Answers

Answer:

B

Explanation:

Answer:

Pressure

Explanation: I took a test

A particle with charge q1 C is moving in the positive z-direction at 5 m/s. The magnetic field at its position is B-3 4j1T What is the magnetic force on the particle? A. (20i+15j) N B. (207-15j) N C. (-20i+15j) N D. (-20/-15) N E. none of these

Answers

Answer:

D. [tex]\vec F_{B} = -20\,\hat{i}-15\,\hat{j}\,\,\,[N][/tex]

Explanation:

The statement is not correctly written, the correct form is now described:

A particle with charge [tex]q = -1\,C[/tex] is moving in the positive z-direction at 5 meters per second. The magnetic field at its position is [tex]\vec B = 3\,\hat{i}-4\,\hat{j}\,\,\,[T][/tex]. What is the magnetic force on the particle?

From classic theory on Magnetism, we remember that the magnetic force  exerted on a particle ([tex]\vec F_{B}[/tex]), measured in newtons, is determined by the following vectorial formula:

[tex]\vec F_{B} = q\cdot \vec v \,\times \,\vec B[/tex] (1)

Where:

[tex]q[/tex] - Electric charge, measured in coulombs.

[tex]\vec v[/tex] - Velocity of the particle, measured in meters per second.

[tex]\vec B[/tex] - Magnetic field, measured in teslas.

If we know that [tex]q = -1\,C[/tex], [tex]\vec v = 5\,\hat{k}\,\,\,\left[\frac{m}{s} \right][/tex] and [tex]\vec B = 3\,\hat{i}-4\,\hat{j}\,\,\,[T][/tex], then the magnetic force on the particle is:

[tex]\vec F_{B} = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\0\,\frac{C\cdot m}{s}&0\,\frac{C\cdot m}{s} &(-1\,C)\cdot (5\,\frac{m}{s} ) \\3\,T&-4\,T&0\,T\end{array}\right|[/tex]

[tex]\vec F_{B} = -(-4\,T)\cdot (-1\,C)\cdot \left(5\,\frac{m}{s} \right)\,\hat{i}+(-1\,C)\cdot\left(5\,\frac{m}{s} \right)\cdot (3\,T)\,\hat{j}[/tex]

[tex]\vec F_{B} = -20\,\hat{i}-15\,\hat{j}\,\,\,[N][/tex]

Which corresponds to option D.

a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distance of 125 m. How long does it take to achieve this speed?

Answers

T=Vf-Vi/s
25m/s -15m/s/ 125m
10m/s /125m
=0.08s
I hope it’s correct !

The time taken by the car to achieve the final speed is 6.25 seconds.

What is the equation of motion?

The equations of motion can be defined as the equation that represents the relationship between the time, velocity, acceleration, and displacement of a moving object.

The mathematical expressions for the equations of motions can be written as:

[tex]v= u+at\\S=ut+(1/2)at^2\\v^2-u^2=2aS[/tex]

Given, the initial speed of the car, u = 15 m/s

The final speed of the given car, v = 25m/s

The distance covered by car, S = 125 m

From the third equation of motion: v² = u²+ 2aS

(25)² = (15)² + 2×a× 125

a = 1.6 m/s²

From the first equation of motion we can find the time to achieve the final speed:

v = u+ at

25 = 15 + (1.6) × t

t = 6.25 sec

Therefore, 6.25 seconds will be taken by the car to catch the final speed.

Learn more about the equation of motion, here:

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The diagram below shows two bowling balls, A and B, each having a mass of 7.0 kg, placed 2.00 m apart between their centers.

Answers

Answer:

F = 1.63 x 10⁻⁹ N

Explanation:

Complete question is as follows:

The diagram below shows two bowling balls, A and B, each having a mass of 7.0 kg, placed 2.00 m apart between their centers. Find the magnitude of Gravitational Force?

Answer:

The gravitational force is given by Newton's Gravitational Law as follows:

F = Gm₁m₂/r²

where,

F = Gravitational Force = ?

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = m₂ = mass of each ball = 7 kg

r = distance between balls = 2 m

Therefore,

F = (6.67 x 10⁻¹¹ N.m²/kg²)(7 kg)(7 kg)/(2 m)²

F = 1.63 x 10⁻⁹ N

What unbalanced force is needed to give a 976 kg vehicle an acceleration of 2.50 m/s2? ASAP

Answers

Answer:

2440 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 976 × 2.5

We have the final answer as

2440 N

Hope this helps you

An airplane is flying at a speed of 200 m/s in level flight at an altitude of 800 m. A package is to be dropped from the airplane to land on a target on the ground. At what horizontal distance away from the target should the package be released so that it lands on the target

Answers

Answer:

The

Explanation:

The horizontal distance covered is known as the range expressed as;

R = U√2H/g

U is the speed = 200m/s

H is the max height = 800m

g is the gravity = 9.8m/s²

R = 200√2(800)/9.8

R = 200√1600/9.8

R = 200√163.27

R = 200(12.78)

R = 2555.54

Hence the package should be released at a distance of 2555.54m

A student throws a 110 g snowball at 6.5 m/s at the side of the schoolhouse, where it hits and sticks.
What is the magnitude of the average force on the wall if the duration of the collision is 0.19 s ?

Answers

Answer:

3.6N

Explanation:

Impulse is the change of momentum of an object when the object is acted upon by a force for an interval of time.

the expression is Ft=mv

where F= force

 m= mass

t= time

v= velocity

Step one:

given data

mass m= 110g= 0.11kg

velocity v= 6.5m/s

time t= 0.19seconds

Step two:

we also know that the force on impulse is given as

Ft=mv

F=0.11*6.5/0.19

F=0.715/0.19

F=3.76N

The magnitude of the average force on the wall if the duration of the collision is 0.19 is 14N

A system of 4 electrons, 18 protons, and 4 neutrons has a net charge of?

Answers

Answer:

+ 14

Explanation:

18 protons make a positive 18 charge (+18)

4 electrons make a negative 4 charge (-4)

both combined give + 18 - 4 = + 14

The four neutrons don't carry net charge, so the addition of the electrons doesn' affect the net charge found above which still gives + 14.

Select all correct answers....Covalent compounds​

Answers

I know for sure that the third one is correct

What is the force of a 1500 kg car accelerating at 45 m/s2 ?

Answers

Answer:

67500

Explanation:

F=ma

F = 1500 × 45

F = 67500

Describe why you are doing the experimen?​

Answers

What is the experiment ?

Answer:

An experiment is a procedure carried out to support, refute, or validate a hypothesis. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.

Explanation:

The chemical equation below shows that hydrogen and oxygen chemically react to form water.



Which of these is true?

A.

Water is a pure substance and has the same properties as oxygen.


B.

Water is a pure substance and has the same properties as hydrogen.


C.

Hydrogen and oxygen are pure substances that have identical properties to each other.


D.

Hydrogen, oxygen, and water are pure substances that each have different properties.

Answers

Answer:

D

Explanation:

Hydrogen, oxygen, and water are pure substances that each have different properties.

Although the 3 of them are pure substances, but they nonetheless have different properties. These properties could either be their physical properties, or their chemical properties. This is particularly so because since Oxygen and Hydrogen the major components in water have different properties, it is only right if their product, water, has different properties also.

Answer:

D

Explanation:

got it right on study island

Which statement explains how it is possible to carry books to school without changing the kinetic or potential energy of the books or doing any work?
a. by moving the book without acceleration and keeping the height of the book constant
b. by moving the book with acceleration and keeping the height of the book constant
c. by moving the book without acceleration and changing the height of the book
d. by moving the book with acceleration and changing the height of the book

Answers

Answer:

a. by moving the book without acceleration and keeping the height of the book constant

Explanation:

FOR CONSTANT KINETIC ENERGY:

The kinetic energy of a body depends upon its speed according to its formula:

ΔK.E = (1/2)mΔv²

So, for Δv = 0 m/s

ΔK.E = 0 J

So, for keeping kinetic energy constant, the books must be moved at constant speed without acceleration.

FOR CONSTANT POTENTIAL ENERGY:

The potential energy of a body depends upon its height according to its formula:

ΔP.E = mgΔh

So, for Δh = 0 m/s

ΔP.E = 0 J

So, for keeping potential energy constant, the books must be moved at constant height.

So, the correct option is:

a. by moving the book without acceleration and keeping the height of the book constant

A footballer kicks a ball from rest. The foot is in contact with the ball for 0.30s and the final velocity of the ball is 15ms-1 .What is the average acceleration of the ball?​

Answers

Answer:

50m/s^2

Explanation:

Step one:

given data

initial velocity u= 0m/s since the ball is at rest

time of contact t= 0.3s

final velocity v=15m/s

Required

acceleration a

from the first law of motion

v=u+at

substitute our given data

15=0+a*0.3

15=0.3a

divide both sides by 0.3

a=15/0.3

a=50m/s

The average acceleration is 50m/s^2

Please help!!! I will give brainliest,

Answers

Answer:

C. a liter of salt water.

Explanation:

Defination of Solution =>

a liquid mixture in which the minor component (the solute) is uniformly distributed within the major component (the solvent).

Other Questions
30 POINTS!!! Read the following excerpt Patricia Hampls The Need to Say it and answer the question.She kept her distance from the printed word of English, but she lavished attention on her lodge newspaper which came once a month, written in the quaint nineteenth-century Czech she and her generation had brought to America before the turn of the century. Like a wedding cake saved from the feast, this language, over the years, had become a fossil, still recognized but no longer something to be put in the mouth.In the excerpt above, what is explicitly stated?The author thought the newspaper was a fossil.Grandmother lavished attention on her granddaughter.The author has been to Czechoslovakia.The newspaper was written in 1800s style Czech. Write the equation of the line that passes through the given points. The diagonal of a square is 15 inches. Find the area of the square. Today Americans generallyfeel it's appropriate for the government to keep an eye on everything from airlinesafety, to food contamination, to children's well-being. What has changed? DoAmericans still operate on the principle that the government is limited to what theConstitution says it can do? To receive full-credit you must relate your answer tothe notion of federalism. Text is Advice To the Newly Married Lady.What view or belief about women does the author convey in this sentence: Your house is your only refuge, your husband your only companion? (Paragraph 3)A. Women had incredible freedom and rights.B.Women could only be wives and manage homes.C.If things were bad at home, a woman had no other options.D.If a woman wanted a good life, she had to buy a home.What is the answer? 1000 kg car takes travels on a circular track having radius 100 m with speed 10 m/s. What is the direction of the acceleration of the car? *A- outside track, and normal to trackB- towards the center and normal to the trackC- upD- down 1. Was August Caesar always called Augustus?2. How did Octavian become Julius Caesars heir?3. What position in the Roman Republic was Octavian elected to?4. What was the Second Triumvirate?5. Who did Octavian defeat first, Lepidus or Marc Antony?6. Who was Marc Antonys ally against Octavian?7. As Emperor, what did Augustus refer to himself as?8. Augustus ushered in a 200-year-long peace known as what?9. What kind of ruler was Augustus Caesar? Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7) 4x-6xyPLZHELPIGIVE5STARS Are Bacteria (essential/non-essential) to sustaining the EcoSphere? The planet Jupiter is about 300 times as massive as Earth, but an object on its surface would weigh only 2.5 times as much as it would on earth. Can you come up with an explanation? The coin jar was filled with pennies and nickels in the ratio of 7 to 2. If there were 28 nickels in the jar, how many coins were there? c+8+-20c=it made me write 20 characters Listen to your teacher read aloud present simple verbs. Then, use going to' to make statements and questions in the spaces below STATEMENTS My friends ___________________________________________________ Mr. Smith ____________________________________________________ I ___________________________________________________________ Bob and Cathy _________________________________________________ The movie ___________________________________________________ We ___________________________________________________________ NEED HELP PLEASE!!!! Point P(6, 4) is the image of point P(2, 3) under a translation. What is the image of (5, 1) under the same translation? *ECONOMICS* Which situation best illustrates the concept of absolute advantage?O A. A factory in Vietnam can produce more shoes than othercountries.O B. The total value of U.S. exports is lower than the value of thecountry's imports.O C. A software company is forced to increase its prices to pay forrising labor costs.D. A restaurant buys its ingredients from nearby farms to help thelocal economy. What is the first step equation=6x 4x + 3 = 15 A. Add 4x to both sides of the equation. B. Subtract 4x to both sides of the equation. C. Combined the variable terms on the left side of the equation. D. Combine the constant terms on the right side of the equation. Which sentence best summarizes the viewpoint she Macy explains in the passage? Anyone in 10th grade geometry I could really use a partner to help me with it please?! :)