If it takes a planet 2.8 × 108 s to orbit a star with a mass of 6.2 × 1030 kg, what is the average distance between the planet and the star?

Answers

Answer 1

Answer:

9.36*10^11 m

Explanation

Orbital velocity  v=√{(G*M)/R},

G = gravitational constant =6.67*10^-11 m³ kg⁻¹ s⁻²,

M = mass of the star

R =distance from the planet to the star.

v=ωR, with ω as the angular velocity and R the radius

ωR=√{(G*M)/R},

ω=2π/T,

T = orbital period of the planet

To get R we write the formula by making R the subject of the equation

(2π/T)*R=√{(G*M)/R}

{(2π/T)*R}²=[√{(G*M)/R}]²,

(4π²/T²)*R²=(G*M)/R,

(4π²/T²)*R³=G*M,

R³=(G*M*T²)/4π²,

R=∛{(G*M*T²)/4π²},

Substitute values

R=9.36*10^11 m


Related Questions

HELP PLS HURRY !!!!!!!!!

Answers

The answer is Electrical Energy

You see I am having issues with my Cart and think a thunder strike has burnt all my spark plugs and a banana has gotten stuck some where

Answers

Answer:

umm??????? i dont understand

Explanation:

Could you pick up a nail using the curved part of the horseshoe magnet farthest from the poles?

Answers

Answer & Explanation:

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles. A horse shoe magnet has magnetic fields all around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

One can pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

What is magnet?

A substance which is negative charged at one end and positive charged at another end creating the magnetic field around it.

A nail is a magnet which can attract the particle which are charged.

A horse shoe magnet also has magnetic fields around it. In the presence of magnetic force fields, any magnetic object will be attracted to it.

Thus. one could pick up a nail using the curved part of the horseshoe magnet farthest from the poles.

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The output of a solar panel powers a small pump. The pump operates a garden water fountain. The output of the solar panel is 10 V and the current supplied to the pump is 0.25 A. Calculate the electrical power generated by the solar panel.

Answers

That’s tuff ima get in give me a min

The power generated by solar panel will be "2.7 W".

According to the question,

The values are:

Output of solar panel,

10 V

Current,

0.25 A

The electrical power generated will be:

→ [tex]P = VI[/tex]

By substituting the given values is the above formula, we get

→     [tex]= 10\times 0.27[/tex]

→     [tex]=2.7 \ W[/tex]

Thus the above answer is right.

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Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the
material.

Answers

I would say 5.6 to the 4 and I’ll I did was add it to both side

We have that for the Question "Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the material." it can be said that

From the question we are told

Light travels in a transparent material at 2.5 x 10 m/s. Find the index of refraction of the  material.

Generally the equation for the  index of refraction  is mathematically given as

[tex]n=\frac{C}{v}\\\\Therefore\\\\n=\frac{3*10^8}{2.5 * 10 }\\\\n=12000000\\\\[/tex]

Therefore

The  index of refraction  of the material is

n=12000000

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What is the amount of work required to increase a 1100 kg car's speed from 20.0 m/s to 50.0 m/s?

Answers

La policía de los estados miembros se ha convertido de

40 points and brainliest plz helppp luv yah thxx
A car moving at 10 m/s slows to a stop. It moves 25 meters forward while braking.
1. What is its braking acceleration?
Explain how you found your answer.

2. How much time does it take to slow to a stop?
Explain how you found your answer.

Answers

Answer:

hey want you to separate the energy’s and put them in the categories they go in like why are They different what is chemically different about them? Etc.why do they act differently.. do they act the same in some ways? Think about that

Explanation:

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .

Answers

Answer:

maximum height reach by rockect =970.2metre

Explanation:

please help me quickly

Answers

Answer:

not moving

Explanation:

name the metal which form the filament of an electric bulb. what is the function of contact wire in bulb.​

Answers

Incandescent light bulbs consist of an air-tight glass enclosure (the envelope, or bulb) with a filament of tungsten wire inside the bulb, through which an electric current is passed. Contact wires and a base with two (or more) conductors provide electrical connections to the filament.

Answer:

tungsten wire

Incandescent light bulbs consist of an air-tight glass enclosure (the envelope, or bulb) with a filament of tungsten wire inside the bulb, through which an electric current is passed. Contact wires and a base with two (or more) conductors provide electrical connections to the filament.

Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?

Answers

Answer:

80 km is distance and 30km north is displacement

Explanation:

distance= 50+30=80km

displacement= 50-20=30

his displacement is 30km north

When Tyler drives 50 km north and then drives back 30 km south, we have:

1. The distance that he covers is 80 km.

2. Tylor's displacement is 20 km.  

1. The distance is a scalar that is given by the sum of the kilometers traveled by Tyler as follows:

[tex] d = d_{1} + d_{2} = 50 km + 30 km = 80 km [/tex]

Hence, the distance traveled by Tyler was 80 km.

2. The displacement is a vector that depends on the direction of travel. Takin the north direction as positive we have:

[tex] x = x_{1} + x_{2} = 50 km + (-30 km) = 20 km [/tex]

Therefore, Tyler's displacement is 20 km.

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How do atoms of different non metals stabilize themselves?
Pls help

Answers

Answer:

by taking other atoms that have one shell and putting it i the spot that they need t in

Explanation:

Similarities and differences between natural and synthetic for sugar

Answers

Answer:

THE REAL STUFF

For starters, sugar is sugar, no matter how it’s marketed, priced or packaged.  All sugar offers the same number of calories, although some may be less processed. It seems like every third day a “new” natural sugar emerges as the next best thing. Take for example, the increasingly popular coconut sugar or maple sugar, which are actually just fancy names with a heftier price tag for one ingredient: sugar. Your body can’t tell the difference between raw coconut sugar or processed table sugar, all sugar is metabolized and digested the same. While some more natural forms of sugar may contain a bit more minerals and haven’t undergone as much refinement, they really aren’t any healthier.

THE ARTIFICIAL STUFF

The most popular artificial sweeteners include sucralose (Splenda), aspartame (Equal) and saccharin (Sweet’N Low), neotame, and acesulfame-K are found in diet sodas, light yogurts or ice creams, sugar-free chewing gums and candies among other products. They’re oftentimes marketed as diet, sugar-free, calorie-free, low-calorie, skinny or light.

Artificial sweeteners are man-made, unnatural chemical compounds that our body doesn’t understand or know how to metabolize.  Some scientific evidence suggests artificial sweeteners may cause brain cancer or slow down metabolism – although most of these studies have been tested on animals, never humans.

Or what about the theory that eating alternative sweeteners makes you more inclined to eat a) a whole bag of sugar-free candies at one time, and b) overindulge in junk food later. Plus, certain types of sugar alcohols or sugar substitutes contain hard-to-digest ingredients that can manifest in symptoms of gastrointestinal discomfort, like bloating, gas, cramping, diarrhea, or even constipation.

There is no difference, not in any useful sense. Anything you might call sugar is one of a handful of molecules; sucrose, glucose = dextrose, fructose, maltose, and several others. Sucrose is the molecule most commonly meant by “sugar”.Your body doesn’t know or care where these molecules have come from. The sugar could be largely avoided while still getting the other benefits of plant-based foods.

A fire is burning in a fireplace. Where is the radiation?

A. You touch warm bricks next to the fireplace
B. You can feel the heat from across the room
C. Heat is rising up from the chimney

Answers

I think it’s A.
........

why would a rocket fall vertically downwards if it was launched vertically upwards​

Answers

Answer:

It would because the shape of the rocket is designed to be able to slice through the air as smooth as possible and now you may be thinking that air is already smooth but when you try to push something as large and heavy like a rocket then the shape of the rocket will be very important. The bottom of the rocket is flatter then the top so it is not designed to fly smoothly through the air. So the rocket would fall vertically downward(If it was still in one piece)because of it's shape. It is easier for the top of the rocket to go smoothly through the air then the bottom.

Explanation:

I am 90% sure this is correct but if I'm not please tell me

To solve this we must be knowing each and every concept related to rocket. Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

What is rocket?

A rocket is indeed a vehicle that accelerates by employing jet propulsion rather than the surrounding air. A rocket engine generates thrust by reacting to high-speed exhaust.

The reason would be that the shape of a rocket is meant to slice through air as smoothly as possible. You may assume that air already is smooth, but when we try to push anything as massive and heavy as a rocket, the shape of a rocket becomes quite crucial.

Because the bottom of a rocket is flatter than the top, it isn't designed to glide through the air gracefully. Because of its form, the rocket will fall vertically downward . The tip of the rocket travels more smoothly in the air than the bottom.

Therefore, a rocket fall vertically downwards if it was launched vertically upwards​ because the bottom of a rocket is flatter than the top.

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A player kicks a football into the air. It slows to a stop at its highest point in the air before falling to the ground. Which statement accurately describes the motion of the football?

Answers

Answer:

The answer is "The ball slows down in the air due to an unbalanced force "

Explanation:

If plays kick the ball, its object is mainly controlled by various forces its player's power as well as the other gravitational force, which acts in such a direction often focused from around Earth.  

Its force of its player will decrease because as strength of gravity is consistent, enabling both forces to interfere, therefore slowing the speed of football.

Which of the following best defines speed?
A. It is an objects speed at a specific point in time
B. It is the distance traveled by an object in a specific direction
C. It is a measure of how far an object moves over a certain amount of time
D. It is the total time over the distance

Answers

D. It is the total time over the distance

A bullet is fired horizontally from a 20m tall building. How long does it take to hit the ground

Answers

Answer:

t = 2.02 secs

Explanation:

Given the following data;

Height = 20m

We know that acceleration due to gravity, g = 9.8m/s²

To find the time, we would use the formula for maximum height;

H = ½gt²

Substituting into the equation, we have;

20 = ½*9.8t²

20 = 4.9t²

t² = 20/4.9

t² = 4.082

Taking the square root of both sides, we have;

t = 2.02 secs

Therefore, it would take the bullet 2.02 seconds to hit the ground.

What are greenhouse gases? Can you name any?

Answers

greenhouse gasses in the upper atmosphere trap heat from the Earth and reflect it back down rather than allow it to escape. This makes Earth progressively warmer.

A dumptruck filled with sand moves 1.8 km/h when it begins to accelerate uniformly at a constant rate. After traveling 4.0  102 m, the truck's speed is 24.0 km/h. What is the magnitude of the truck's acceleration?

Answers

The acceleration of the truck is obtained from the calculation done as  0.055 m/s^2.

What is the magnitude of the truck's acceleration?

We know that the acceleration is defined as the rate of the change of the velocity of the object with time and we can be able to obtain the acceleration by the use of the equations of kinematics as usual.

Initial velocity =  1.8 km/h  or 0.5 m/s

Final velocity = 24.0 km/h or 6.67 m/s

Distance covered = 4.0 * 10^2 m

Then;

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = distance covered

a = v^2 - u^2/2s

a = (6.67)^2 - (0.5)^2/2 *  4.0 * 10^2

a = 44.4 - 0.25/800

a = 0.055 m/s^2

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Every spring has an equilibrium

Answers

R u asking if thats true or false or what?

Which form of energy does Theodore Roosevelt Lake have as the water collects in the
reservoir behind the dam?

A.heat
B.mechanical kinetic
C.mechanical potential
D.solar

Explain why

Answers

c. because the energy is potential

Stefan has to drive 8 miles south and 3 miles east to get to work. Find his distance and displacement.

Answers

Stefan's distance and displacement are 11 miles and 8.54 miles southeast

The distance can be calculated directly by adding up the individual distance.

d = 8+3d = 11 miles

To calculate the displacement of Stefan, we make use of the Pythagoras theorem.

From Pythagoras theorem,

Formula:

a² = b²+c²................ Equation 1

Where:

a = Stefan's resultant displacementb = Stefan's displacement to the southc = Stefan's displacement to the east.

From the question,

Given:

b = 8 milesc = 3 miles.

Substitute these values into equation 1

a² = 8²+3²a² = 64+9a² = 73a = √(73)a = 8.54 mile southeast.

While the displacement is 8.54 miles southeast.

Hence, Stefan's distance and displacement are 11 miles and 8.54 miles southeast.

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If you are in a car at a stop sign and then the driver
presses on the gas pedal really hard, which way is the car
accelerating?

Answers

Answer:

it wont be because the hand brake would be on

The car is accelerating forward.

Can someone tell me how we got this answer please like what rule should I use?

Answers

Answer:

W = V Q          energy = work / charge * charge

Q = I t            charge = current * time

V = W / (I * t)

V = 3 * 10E8 J / (1.5 * 10E4 amps * 2 * 10E-4 sec)

V = 10^8 volts

Which device converts chemical energy directly into electrical energy?




A.

A battery


B.

A generator


C.

A light bulb


D.

A motor

Answers

Answer:

A

Explanation:

Name me brainliest plzzzzz

A battery has it's energy stored in form of chemical energy which is active in it's materials, and can be converted into electric energy on demand . electrical energy then flows in form of a current in circuits. The correct answer is A battery.

Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives head first, hitting the ground at 6.75 m/s and reaching the base with a speed of 5.91 m/s, accelerating at -5.11 m/s 2 . Determine the distance Rickey slides across the ground before touching the base. How much time is he sliding for before touching the base?

Answers

Answer:

The distance is 1.04 m and time is 0.16 seconds.

Explanation:

Initial speed, u = 6.75 m/s

Final speed, v = 5.91 m/s

Acceleration, a = -5.11 m/s²

We need to find the distance Rickey slides across the ground before touching the base and the time he sliding for before touching the base.

Let d is the distance. It can be calculated using third equation of motion as follows :

[tex]v^2-u^2=2ad\\\\d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{(5.91)^2-(6.75)^2}{2\times (-5.11)}\\\\d=1.04\ m[/tex]

Let t is the time he slides for before touching the base. Using first equation of motion as follows :

[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{5.91-6.75}{-5.11}\\\\t=0.16\ s[/tex]

So, the distance is 1.04 m and time is 0.16 seconds.

1) A ball is dropped from the Eiffel Tower (300 m), how long would it take for the ball to reach a velocity of 65 m/s? How far did the ball go in that time?

Answers

Answer:

Explanation:

If you drop a ball from

the top of a building it

gains speed as it falls.

• Every second, its

speed increases by

10 m/s.

• Also it does not fall

equal distances in

equal time intervals

• If the acceleration = 0 then the velocity is

constant. [remember that acceleration is

the rate of change of velocity]

• In this case the distance an object will

travel in a certain amount of time is given

by distance = velocity x time

• For example, if you drive at 60 mph for

one hour you go 60 mph x 1 hr = 60 mi.

A stone is thrown straight up in the air. If g represents the acceleration due to
gravity, which one of the following statments about the stone is false?
When the stone reaches the top of its flight, its acceleration is still g.
As the stone rises, its potential energy decreases.
When the stone reaches the top of its flight, its energy is zero.
As the stone rises, it is accelerated downward.
As the stone rises, its kinetic energy decreases.

Answers

Answer:

The correct false statement is;

As the stone rises, its potential energy decreases

Explanation:

When the stone is thrown straight up into the air, the initial velocity, u, progressively decreases according to the following equation;

v = u - g·t

Where;

v = The final velocity

g = The acceleration due to gravity = 9.81 m/s²

t = The time taken

Therefore whereby, the kinetic energy. K.E. is given by the equation , K.E. = 1/2 × m × u², as u reduces, the kinetic energy reduces

However, the potential energy, P.E. is given as P.E. = m × g × h

Where;

h = Height

m = The mass of the stone

Therefore, as the stone rises, the potential energy increases.

What is the height of a 50 kg person that has a potential energy of 4900J?

245,000m

98 m

10 m

Answers

Answer:

10 m

Explanation:

PE = mgh

m = 50kg

g= 9.8 m/s^2

h=?

so,

4900= 50×9.8× h

50h = 4900/9.8

50h = 500

h = 10 m

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