If two stars are in a binary system with a combined mass of 5.5 solar masses and an orbital period of 12 years, what is the average distance between the two stars

Answers

Answer 1

The average distance between the two stars is 792 light years

Let the mass of the first star be [tex]m_1[/tex]

Let the mass of the second star be [tex]m_2[/tex]

The combined mass of the two stars, [tex]m_1+m_2=5.5[/tex] solar masses

The orbital period of the stars, P = 12 years

Average distance between the two stars, D = ?

The average distance between the two stars can be calculated using Kepler's equation

[tex]D=(m_1+m_2)P^2[/tex]

Substitute [tex]m_1+m_2=5.5[/tex] and P = 12 into the formula [tex]D=(m_1+m_2)P^2[/tex]

[tex]D=5.5(12^2)[/tex]

D = 5.5(144)

D = 792 light years

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Related Questions

Which will be different on the moon than it is on Earth?

weight

mass

Answers

Answer:

Below

Explanation:

On the moon, an objects weight will be different than it is on earth. This is because we cannot change the mass of an object, the mass of an object is the measure of matter an object has. However the weight is depended on the gravitational pull of whatever planet you are on. In this case, weight will be lighter on the moon than it is on earth because the moon's gravitational pull is 1.62 m/s^2 while earths is around 9.8 m/s^2.

Hope that helps!

the schwarzschild radius of a black hole depends on

Answers

Answer:

The mass of the object.

Explanation:

Happy Thanksgiving!

The Schwarzschild radius of a black hole depends solely on its mass. The Schwarzschild radius is a concept in general relativity that defines the boundary known as the event horizon.

The formula for the Schwarzschild radius is given by:

r_s = 2GM / c²

Where: r_s is the Schwarzschild radius

As the mass of the black hole increases, its Schwarzschild radius also increases. This means that a more massive black hole has a larger event horizon and a stronger gravitational pull.

The mass of the black hole is the primary factor determining the size of the Schwarzschild radius, while other properties, such as spin or charge, can also affect the structure and behavior of the black hole but do not directly impact the Schwarzschild radius.

Therefore,The Schwarzschild radius of a black hole depends solely on its mass.

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Part IV Objects on an incline w/ Tension + Friction
1. A small 63 kg sleigh is pulled by a rein attached to horse up a 15'angle hill to the
horizontal. The tension of the rein is 510 N. The coefficient of kinetic friction is
0.25
a. What is the normal force that the sleigh exerts on the hill?
b. What are the magnitude and direction of the sleigh's acceleration?

Answers

(a) The normal force on the sleigh is 596.36 N.

(b) The magnitude and direction of acceleration of the sleigh is 3.2 m/s² upwards.

The given parameters;

mass of the sleigh, m = 63 kginclination of the hill, θ = 15⁰tension on the rein, F = 510 Ncoefficient of friction, μ = 0.25

The normal force on the sleigh is calculated as follows;

[tex]F_n = mg \times cos(\theta)\\\\F_n = 63 \times 9.8 \times cos(15)\\\\F_n = 596.36 \ N[/tex]

The magnitude and direction of acceleration of the sleigh is calculated as follows;

[tex]\Sigma F= ma\\\\F - mgsin(\theta) - F_f = ma\\\\F - mgsin(\theta) - \mu F_n = ma\\\\510\ - \ 63 \times 9.8 \times sin15 \ -\ 0.25\times 596.36 = 63a\\\\201 .11 = 63a\\\\a = \frac{201.11}{63} \\\\a = 3.2 \ m/s^2 \ upwards[/tex]

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A car accelerates from 20m/s to 25m/s in 4s as it passes a truck. What is the distance travelled?​

Answers

Answer:

afcorse 1 miles

Explanation:

yep plz make me the brainliest

The distance travelled by car is displacement which is

What is displacement?

Displacement is defined to be the change in position of an object.

[tex]s=\frac{1}{2} (v+u)t[/tex]

[tex]s=\frac{1}{2} (25+20)4\\s= 90 m[/tex]

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List examples of how the Bill of Rights protects you:
.
.
.
.
.

Answers

guaranteeing freedom of speech, press, assembly, and exercise of religion

What does the state of matter of an object depend on?

type of molecules

size of molecules

speed of molecules

number of molecules

Answers

The answer is: C - speed of molecules

Explanation:

A substance's state of matter — solid, liquid, gas, or plasma — depends on how its molecules move and maintain their volume and shape.

A young woman walks up 55 steps to the top of a water slide. She slides
down, feet first, all the way to the bottom gaining speed as she goes. If each
step of the slide is.10m tall, how fast will she be going at the bottom?

Answers

Answer:

potential energy PE = M g h

KE at bottom = 1/2 M V^2

Regardless of the slope of the slide the change in energy is the same

1/2 V^2 = g h

V = (2 g h)^1/2 = (2 * 9.8 m/s^2 * 10 m)^1/2 = 14 m / s

Perhaps the question says that h = 55 * .1 = 5.5 m

Then V = (2 * 9.8 * 5.5) = 10.4 m/s

A kitchen has a water supply, an electricity supply and electric lighting there are several electrical appliances in the kitchen including a toaster, akettle a clothes iron, a microwave oven and a dishwasher discuss three hazards of using electricity in this kitchen ?

Answers

The hazards of using electricity in this kitchen include the following below:

Risk of electric shocks: These electrical appliances use an electric source for their various functions in which electric current flows through them when

turned on. Exposure and contact of the naked wire with individuals will bring

about shock.

Risk of burns: The kitchen has various heating appliances such as toaster,

kettle,iron and oven which may result in burns if not carefully handled.

Risks of fire : The heat and electric current from these appliances can trigger a spark and fire which may raze down the building is also another hazard.

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Which sense is used to determine whether an object is something you might want to eat?

smell

sight

taste

all of the above

Answers

Answer: D, All of the above!

Explanation:

I just helped my daughter with this test and it was correct!! Good luck !!

I'LL MARK YOU BRAINLIST!!
ali starts moving his car from rest and accelerates it at 5 m/s^2 over 8 seconds. what is the velocity of ali's car reached by the end of these 8 seconds ?

Answers

Explanation:

u=0, v=?, a=5m/s², t=8sec

So, by the formula,

v=u+at

v=0+5×8

v=40m/s.

hope this helps you .

A wooden block moves at a constant speed on a rough horizontal surface. Draw a free-body diagram
clearly showing all the forces applied to the block; compare their magnitudes and directions.

Answers

The weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

The forces acting on the wooden block moving at a constant speed include the following;

weight of block acting downwards, Wnormal reaction on the block acting upwards, Napplied force on the block acting towards positive x-direction, Ffrictional force acting towards negative x-direction, [tex]F_f[/tex]

The free-body diagram is presented below;

                                         

                                              N

                                              ↑

                               [tex]F_f[/tex]      ←  ⊕  →   F

                                              ↓

                                              W

The block is moving at a constant speed, we will have the following;

[tex]W = N \\\\F = F_f[/tex]

Thus, we can conclude that the weight of the block and normal reaction are equal in magnitude but opposite in direction. Also, the frictional force and applied force are equal in magnitude but opposite in direction.

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the ground wire on a household circuit is typically what color

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

Green & Yellow

Hope it helps!

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The ground wire on a household circuit is green in color in a typical household

What is an electric charge?

Charged material experiences a force when it is subjected to an electromagnetic field due to the physical property of electric charge. You can have positive or negative electric charges (commonly carried by protons and electrons respectively). opposing charges attract one another whereas similar charges repel one another. We refer to an object as neutral if it has no net charge.

The charge on one electron is -1.6 ×10⁻¹⁹ coulomb.

The ground wire is either bare or has green insulation in most residential branch circuit cables in the US.

The norm in Europe and the UK is

live, brown

neutral is blue.

stripes with green and yellow: earth.

Thus,the ground wire on a household circuit is green in color in a typical household

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what animal that does not eat meat

Answers

Answer:

An animal that doesn’t eat meat is called a herbivore. An few examples would be cows, rabbits, horses, and goats.

:)

2. In a race, if a runner starts and stops at the same position, what is their
displacement? *

Answers

Answer:

It is the same

Explanation:

I Jsut know

how much does it cost to charge an electric car at a public charging station

Answers

Answer:

Rs 16.5 lakh is a charge of an electric car at a public charging station

A flea sits on the edge of a classic record album that is making 1 revolution in 0.56s. The flea is 0.20m from the center of the record
a. what is the fleas velocity?
b. What is the fleas centripetal acceleration?

Answers

Hi there!

We can begin by finding the angular velocity using dimensional analysis:

[tex]\frac{1 rev}{0.56 s} * \frac{2\pi rad}{1 rev} = 11.22 rad/sec[/tex]

(A)

Find the flea's velocity using the following relationship:

v = ωr

v = (11.22)(0.20) = 2.24 m/s

(B)

Centripetal acceleration is given by:

a = ω²r

a = (11.22²)(0.20) = 25.18 m/s²

A quantity that has its own unit and is not derived from another is called a .

Answers

Answer:

Derived quantities are derived from the Fundamental quantities and so the answer is Fundamental Quantity.

A quantity that has its own unit and is not derived from another is called a Fundamental quantity.

The given problem is based on the concept of Fundamental quantities. A fundamental quantity is a physical quantity which does not depends on any other quantities.

For example - Kilogram (kg) is a fundamental quantity, that is unique and it is used to determine the mass of any object.Meter (m) is the fundamental quantity that determines the length of dimensions. Second (s) is the fundamental quantity, that determines the time.

Fundamental quantities are the independent quantities which are utilized for the derivation of another type of physical quantities, known as derived quantities.

Thus, we can conclude that a quantity that has its own unit and is not derived from another is called a Fundamental quantity.

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Which factor is not a type of spectra?


A.


emission


B.


absorption


C.


continuous


D.


discontinuous

Answers

The correct answer is
D.) discontinuous

Brainliest?

what is the full meaning of hip​

Answers

Answer:

History in Perspective (education) HIP. Health Information Professional. HIP.

Explanation:

hope this helps

Which of the followng is Newton's Second Law?

a. An object in motion will stay in motion unless acted upon by an unbalanced outside force
b .Force = mass times acceleration
c.When one object puts a force on the another object, the second object puts a force back on the first, equal in magnitude and opposite in direction

Answers

Answer:

A

Explanation:

a. A pure sample was analysed and was found to contain 6.25 g of lithium, 5.40 g of carbon, & 21.60
g of oxygen. Calculate the empirical formula. Show your work out. If you do not show any work out,
marks will not be given. [3]
b. The molar mass of the compound is 116 g/mol, what is its molecular formula?

PLS URGENTLY ANS

Answers

The empirical formula of the compound is Li₂CO₃

First, we will determine the respective number of moles of each element present in the compound by dividing by their atomic masses

Lithium                      Carbon                          Oxygen

6.25÷6.94                 5.40÷12.01                    21.60÷16.00

0.9006                      0.4496                          1.35

Now, divide through by the smallest number of moles, that is, 0.4496

Lithium                      Carbon                          Oxygen

0.9006÷0.4496        0.4496÷0.4496            1.35÷0.4496

2                                      1                                    3

Hence, the empirical formula of the compound is Li₂CO₃

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this planet has a very toxic atmosphere that traps heat, making it the hottest planet in the solar system.

Answers

Answer:

Venus

Explanation:

basic 2nd grade smarts "no offense"

A 22 kg body is moving through space in the positive direction of an x axis with a speed of 190 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 13 kg, moves away from the point of explosion with a speed of 130 m/s in the positive y direction. A second part, with a mass of 2.2 kg, moves in the negative x direction with a speed of 460 m/s. What are the (a) x-component and (b) y-component of the velocity of the third part

Answers

Answer:   Our notation is as follows : the mass of the original body is M=20.0kg ; its initial velocity is  

ν

 

0

=(200m/s)  

i

^

 ; the mass of one fragment is m  

1

=10.0kg ; its velocity is  

ν

 

1

=(100m/s)  

j

^

 ; the mass of the second fragment is m  

2

=4.0kg ; its velocity is  

ν

 

2

=(−500m/s)  

i

^

 ; and , the mass of the third fragment is m  

3

=6.00kg . Conservation of linear momentum requires  

          M  

ν

 

0

=m  

1

 

ν

 

1

m  

2

 

ν

 

2

+m  

3

 

ν

 

3

 .  

The energy released in the explosion is equal to ΔK , the change in kinetic energy .  

(a) Using the above momentum -conservation equation leads to  

             

ν

 

3

=  

m  

3

 

M  

ν

 

0

−m  

1

 

ν

 

1

−m  

2

 

ν

 

2

 

 

             =  

6.00kg

(20.0kg)(200m/s)  

i

^

−(10.0kg)(100m/s)  

j

^

−(4.0kg)(−500m/s)  

i

^

 

 

          =(1.00×10  

3

m/s)  

i

^

−(0.167×10  

3

m/s)  

j

^

.  

The magnitude of  

ν

 

3

 is  

                        ν  

3

=  

(1000m/s)  

2

+(−167m/s)  

2

 

=1.01×10  

3

m/s  

It points at θ=tan  

−1

(−167/1000)=−9.48  

 (that is at 9.5  

 measured clockwise from the +x axis) .  

(b) The energy released is ΔK :  

             ΔK=K  

f

−K  

i

=(  

2

1

m  

1

ν  

1

2

+  

2

1

m  

2

ν  

2

2

+  

2

1

m  

3

ν  

3

2

)−  

2

1

Mν  

0

2

=3.23×10  

6

J

Explanation:

true and false? When an object remains stationary, any forces acting on it must be balanced.

Answers

Answer:

Balanced forces acting on a stationary object cause the object to remain at rest. True: Forces can give energy to an object it acts on causing the object to change it state of motion. If forces acting on an object are balanced, they do not cause a change in motion.

Answer:

False

Explanation:

It is NOT possible for just three forces to be acting upon an object and they still balance each other. A free-falling object experiences a balance of forces.

A block with initial velocity of 3 m/s slides 9 m across a rough horizontal surface before coming to rest. What is the coefficient of kinetic
friction?

Answers

The coefficient of kinetic friction between the block and the horizontal surface is 0.051.

The given parameters;

initial velocity, u = 3 m/sdistance traveled by the block, s = 9 m

The acceleration of the block is calculated as follows;

[tex]v^2 = u^2 + 2(-a)s\\\\v^2 = u^2 - 2as\\\\a = \frac{u^2 - v^2}{2s} \\\\a = \frac{3^2 - 0^2}{2\times 9} \\\\a =0.5 \ m/s^2[/tex]

The coefficient of kinetic friction between the block and the horizontal surface is calculated as follows;

[tex]\mu_k mg = ma\\\\\mu_k = \frac{a}{g} \\\\\mu_k = \frac{0.5}{9.8} \\\\\mu_k = 0.051[/tex]

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if the amplitude of a sound wave is tripled, the intensity will:

Answers

Answer:

Increase 9 times

Explanation:

Explain how potential and kinetic energy are at play when we talk about Newton’s second law of motion?

Answers

Answer:

represents the energy the object possesses by virtue of its motion. ... This type of energy is generally known as kinetic energy. Thus, Equation (16) states that any work done on point object by an external force goes to increase the object's kinetic energy.

Explanation:

     

   The relation between some bodies are involved by Object's position and motion, i.e., through potential and kinetic energy in which it actually explained by Newton's second law of motion.

What is Newton's second law of motion?

Definition:

      Newton's second law states that force is equal to the rate of change of momentum, i.e., the mass and velocity.

It can be written as F = mv where m is mass and v is velocity. Potential energy can be described by a body's position while kinetic energy is possessed by a body's  motion. Both forms of energy are influenced by forces and are equal to the total momentum. Momentum can be described by explaining the mass and velocity of the object.

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1 point
A roller coaster is 20 m high and traveling 11 m/s. If the roller coaster has a
mass of 150 kg, what is its total energy? (only put the number, no units or
commas)

Answers

Answer:

ETotal=38505J

Explanation:

Known values:

m=150kg

h=20m

v=11m/s

KE=mv^2/2

PE=mgh

ETotal=PE+KE

KE=(150(11^2))/2

KE=9075

PE=150(9.81)(20)

PE=29430

ETotal=9075+29430

ETotal=38505J

What is a lever?....

Answers

Machines used to increase force.

Answer:

A lever is a simple machine in the subject "S.T.E.M"

Explanation:

Levers use the following forces in order to be used: push or pull.

examples are crow bars,shovels, brooms and ect.

eleven wa=eighs 47 kg. her height is 1.63 m. what is her bmi

Answers

Answer:

17.7kg/[tex]m^{2}[/tex]

Explanation:

                       BMI =

                             =  [tex]\frac{weight (kg)}{height (m) . height (m)}[/tex]

                             = 47kg/(1.63m×1.63m)

                             = 17.689kg/[tex]m^{2}[/tex]

                             ≈ 17.7kg/[tex]m^{2}[/tex]

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A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph fasterthan she can walk. How fast can she walk?mph Identify the type of blood vessel shown below. How does its structure match its function? 1,8,27,64find the rule and show how did you find it What are complex integers ? Make three observations about the pattern of tornadoes across the United States: Which narrative technique would help develop the relationship between the narrator and the mother?A. DialogueB. FlashbackC. Description of settingD. Sequence of events can someone answers this question please Consider the line y = 3/5x + 4.Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1) A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time? Work out the length x. 14cm, 7cm , right angle triangle Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Please Help!! I can"t solve this ! Kendrick had 2/3 of an ice cream cake left. Each piece on the ice cream cake is 1/ 12 of the entire cake. How many pieces are left? HURRY! THIS IS OVERDUE!Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!In which table does y vary directly with x? What happens if I find the sum of two even numbers The basic wage earned by a truck driver for a 40-hour week is $560.00(i) Calculate his hourly rateFor overtime work, the driver is paid one and a half times the basic hourly rate.(ii) Calculate his overtime wage for 10 hours overtime. (iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week. When asked to deliver a speech at the very last moment, the type of delivery style you will likely use is 2 (n - 1) + 47 = 2 (3n - 1) 40.75 in word form. which of the following is not true about the lost generation? the story of my life sumary helen