Jupiter's four large moons – Io, Europa, Ganymede, and Castillo – were discovered by Galileo in 1610. Jupiter also has dozens of smaller moons. Jupiter's rocky, volcanically-active moon Io is about the size of Earth's moon (7.22 x 1022 kg). Io has a radius of about 1.82 x 106 m, and the mean distance between Io and Jupiter is 4.22 x 108. If Io's orbit were circular, how many earth days would it take for Io to complete one full revolution around Jupiter? If Io's orbit were circular, what would its orbital speed be?

Answers

Answer 1

Answer:

The orbital speed is approximately 17,325.57 m/s

The number of Earth days it would take lo to complete its orbit is approximately 1.77 days

Explanation:

The given parameters are;

The mass of lo, m ≈ 7.22 × 10²² kg

The radius of lo, R ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital equation is given as follows;

[tex]\dfrac{m \cdot v^2}{R} = \dfrac{G \times M \times m}{R^2}[/tex]

[tex]\therefore v = \sqrt{\dfrac{G \cdot M}{R} } = \sqrt{\dfrac{ 6.67408 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } = 17,325.57 \ m/s[/tex]

The orbital speed ≈ 17,325.57 m/s

The time to complete one orbit = (2 × π × 4.22 × 10⁸)/(17325.57) ≈ 153039.94 s

The time to complete one orbit ≈ 153039.94 s ≈ 1.77 days

The number of Earth days it would take lo to complete its orbit ≈ 1.77 days.

Answer 2

The number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

What is orbital speed?

The speed required to establish an equilibrium between gravity's pull on the satellite and the inertia of the satellite's motion is referred to as orbital speed.

The given data in the problem is;

m is the mass of lo≈ 7.22 × 10²² kg

R is the radius of lo ≈ 1.82 × 10⁶ m

The mean distance between Jupiter and lo = 4.22 × 10⁸ m

The orbital speed is given as;

[tex]\rm V= \sqrt{\frac{GM}{R} } \\\\ \rm V= \sqrt{\frac{6.67 \times 10^{-11} \times 1.898 \times 10^{27}}{4.22 \times 10^8} } \\\\ \rm V=17,325.57 \ m/sec[/tex]

The time to complete one orbit is given as;

[tex]\rm T=\frac{ (2 \times \pi \times 4.22 \times 10^8)}{17325.57 } \\\\ \rm T= 153039.94 \ s[/tex]

In one day  there are 86400 seconds from that calculation the number of days required to complete one orbit will be 1.77 days

Hence the number of Earth days it would take lo to complete its orbit will be 1.77 days. While the orbital speed will be 17,325.57 m/s.

To learn more about the orbital speed refer to the link;

https://brainly.com/question/541239


Related Questions

draw a rough sketch of india to show the densely populated states any two​

Answers

Answer: Im questing this what your looking for

Explanation:

On a seismogram, higher lines drawn in the paper indicate weaker seismic waves.

True
False

Answers

True- just pick true

Explanation: it's true

kinetic energy is energy in the form of motin

Answers

Answer:

yes

Explanation:

A ball weighing 60 N is swinging like a pendulum at the end of a 6.0 m rope. As the
ball swings through its lowest point, its speed is measured at 5.0 m/s. What is the
tension in the rope at this point?

Answers

Answer:

Tension = 60 N

Explanation:

The ball is executing a motion like a pendulum. The lowest point of a pendulum's motion is the mean position, where its potential energy becomes zero and kinetic energy becomes maximum. At this point the rope becomes straight vertical. Hence, the tension in the rope becomes exactly equal to the weight of the object at the lowest point. Also, in this case when the ball swings through the lowest point during its motion like a pendulum, the tension in the rope will become equal to the weight of the ball.

Tension = Weight

Tension = 60 N

EARTH SPACE SCIENCE.

I NEED HELP ASAP DUE TODAY. PLEASE 20 POINTS

Using the topographic map above, match the description to the letter that it represents.

Highest point on the map-
[ Select ]

Stream flowing to the East-
[ Select ]

Letter near the steepest slope-
[ Select ]

Letter near the flattest area-
[ Select ]

Stream flowing to the North- F

Answers

Answer:

c,e,f,d

Explanation:

3. A ball rolls along the floor with a constant velocity of 12 m/s. How far will it have gone
after 6 seconds?

Answers

Answer:

the answer is 49 ms do yeah

Answer:

72

Explanation:

hehe

What is the typical response of people to a government that abuses them if they are used to that government?

Answers

Answer:

when a government abuses its power its called tyranny and people might try to overthrow the government

What is the Net Force acting
on the box below?

Answers

The Net Force would be 2 N to the left.

21 N is being used to push the box to the right and 23 N is used to push it left. There is a stronger force pushing the box towards the left. The different in the two numbers would give you the net force acting on the box and the direction of the arrow with the greatest force will tell you the direction.

A ball is thrown through the air.What condition(s) would enable the ball to continue in its state of motion?
A. a tailwind
B. a headwind
C. no air resistance or gravity
D. contact with another object

Answers

I think that the answer is c but I’m not sure

Answer:

C) No air resistance or gravity

Explanation:

For headwind imagine an airplane flying. The wind is hitting the front of the aircraft. Just like the wind is hitting the front of the ball. This increases the drag force and the ball will eventually slow and let the force of gravity act.

For tailwind imagine a sailboat. The wind catches the sail a pushes the boat. Both the wind and boat are going the same way so the angle of the wind is coming from behind. This is why it is called a tail wind.

If a ball is thrown, it has wind resistance and gravity. Otherwise just imagine the ball traveling all around the earth. Because the ball only has the force of lift and thrust, the ball will stay in motion until it hits something strong enough to counteract its thrust.

The description does not state any contact with another object. Also the ball will immediately stop if it has less newtons of force.

an atom's nucleus contains three protons and three neutrons what is the overall charge of the nucleus

Answers

Answer:

Positive

Explanation:

Because there is no electrons.

PLEASE HELP! thxssss

Answers

Answer:

D is correct

Explanation:

A scientist claims that a certain chemical will make fabric waterproof. Which
option describes a controlled experiment that will produce evidence that will
support or refute her claim?
A. Two groups of fabric are treated with the chemical. One group is
cotton and the other is polyester. Then each group is exposed to
water.
B. One group of fabric is treated with the chemical, and the other
group is not. Then each group is exposed to water.
C. One group of fabric is treated with a small amount of the
chemical, and the other group is treated with a large amount. Then
each group is exposed to water.
O D. Two groups of fabric are treated with the chemical. Then one
group is exposed to a small amount of water, and the other group
is exposed to a large amount.

Answers

Answer:

B. One group of fabric is treated with the chemical, and the other group is not. Then each group is exposed to water.

Explanation:

A 7 kg ball is moving at a constant speed of 5 m/s. A force of 300 N is applied to the ball for 4 s. The new speed of the ball is ?

Answers

Answer:

The new speed of the ball is 176.43 m/s

Explanation:

Given;

mass of the ball, m = 7 kg

initial speed of the ball, u = 5 m/s

applied force, F = 300 N

time of force action on the ball, t = 4 s

Apply Newton's second law of motion;

[tex]F = ma = \frac{m(v-u)}{t}\\\\m(v-u) = Ft\\\\v-u = \frac{Ft}{m}\\\\v = \frac{Ft}{m} + u[/tex]

where;

v is new speed of the ball

[tex]v = \frac{Ft}{m} + u\\\\v =\frac{300*4}{7} + 5\\\\v = 176.43 \ m/s[/tex]

Therefore, the new speed of the ball is 176.43 m/s

a feather will fall through the air more slowly than a brick because of

Answers

Answer:

Air resistance

Explanation:

Because the air gives a much greater resistance to the falling motion of the feather than it does to the brick. The air is actually an upward force that is acting against gravity and slowing down the rate at which the feather falls.

do you think it’s likely that there are other earth-like planets in our universe?

Answers

Answer:

yes it's a matter of probability

Answer:

Absolutely!

Explanation:

Its almost impossible that we are the only goldilocks planet when there are billions of stars, each of them being suns with planets. Some other planet somewhere must be able to support life, don't you think?

A constant force pushes a 5 kg brick at 10 N. If the mass was tripled, what would happen to the acceleration if the same force is applied?
(PLEASE SHOW WITH STEPS)

Answers

Explanation:

The original acceleration is:

∑F = ma

10 N = (5 kg) a

a = 2 m/s²

If the mass is tripled, the new acceleration is:

∑F = ma

10 N = (15 kg) a

a = 0.67 m/s²

The acceleration is reduced by a factor of 3.

Answer:

1.35 miles per second

Explanation:

1 step it depende the way and hight he is

2 step the mass of the brick it depends

3 if it was triplet the acceleration it would be 1.50

A model rocket accelerates at 15.3 m/s2 with a force of 44 N.

Calculate the mass of the rocket. Round your answer to the nearest tenth of a kg.

The mass of the rocket is
kg.

Answers

Answer:

The answer is 2.88 kg

Explanation:

The mass of the object can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{44}{15.3} \\ = 2.875816...[/tex]

We have the final answer as

2.88 kg

Hope this helps you

Answer:

2.9

Explanation:

In the equation you get 2.88 but you round that to the nearest tenth so you get 2.9

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements.
In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated.
A machine exerts a 100 N force to the right over a 5.00 meter length in 4.00 seconds. Calculate the power output of this machine.

_____ W

500.
125
80.0
0.200

Answers

Answer:

The answer is 500

Explanation:

Question 18 (2 points)
A supersonic jet flying at 100 m/s is accelerated uniformly at the rate of 20 m/s2 for 20 s. What is its final velocity?

Answers

You can’t ask a question life this and say “(2 points)”first of all the app pickshow many points it is two that’s just disrespectful

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds.
Determine the acceleration of the car and the distance traveled.

Answers

Answer:

79.8 is the answere

I hope this HELP :)

Explanation:

Here, initial velocity is u=18.5m/s and final velocity is v=46.1m/s

Time taken t=2.47s

If a be the acceleration of the car.

Using v=u+at,

46.1=18.5+a(2.47)

⟹ a=11.17m/s

2

If d be the distance traveled by car.

Using formula v

2

−u

2

=2ad,

(46.1)

2

−(18.5)

2

=2(11.17)d

⟹ d=79.8m

A baseball is thrown horizontally at a rate of 40m/s toward a home plate 18.4 m away. How far below the launch height is the ball when it reaches home plate

Answers

Answer:

1.03684m

Explanation:

Using the formula for calculating range expressed as;

R = U√2H/g where

R is the distance moves in horizontal direction = 18.4m

H is the height

U is the velocity of the baseball = 40m/s

g is the acceleration due to gravity = 9.8m/s²

Substitute the given parameters into the formula and calculate H as shown;

18.4 = 40√2H/9.8

18.4/40 = √2H/9.8

0.46 = √2H/9.8

square both sides;

(0.46)² = (√2H/9.8)²

0.2116 = 2H/9.8

2H = 9.8*0.2116

2H = 2.07368

H = 2.07368/2

H = 1.03684m

Hence the ball is 1.03684m below the launch height when it reached home plate.

I need help with physics

Answers

Answer:

mass (m) = 0.075 kg

acceleration (a) = 550000 m/[tex]s^{2}[/tex]

F = ( 0.075 kg )( 550000 m/[tex]s^{2}[/tex] ) = 41250 N

Explanation:

F = ma ; force is equal to mass times acceleration

mass (m) = 0.075 kg

acceleration (a) = 550000 m/[tex]s^{2}[/tex]

F = ( 0.075 kg )( 550000 m/[tex]s^{2}[/tex] ) = 41250 N.

do you get these options in the drop down?

A falling object is said to reach a constant velocity (terminal velocity)..

a. when there is no gravitational force acting on it.

b. when there is no air resistance acting on it.

c. when air resistance equals the acceleration of gravity on it.

d. when it stops falling.

Answers

C

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.(Wikipedia)




1. A force acting on an object in the upward direction is 3 N. The force that would
balance this force could be written as
will balance because 3 N + (____
-) =
acts in the
direction.
You that know these forces
The balancing force

Answers

Answer:

See the explanation below

Explanation:

We must perform a sum of forces on the body, that sum of forces is equal to zero. That is, the body is in balance and does not move.

ΣF = 0

3 - 3 = 0

This force is negative and acts by pointing downwards.

Answer: ow consider a book sliding from left to right across a tabletop. Sometime in the prior history of the book, it may have been given a shove and set in motion from a rest position. Or perhaps it acquired its motion by sliding down an incline from an elevated position. Whatever the case, our focus is not upon the history of the book but rather upon the current situation of a book sliding to the right across a tabletop.

Explanation:

Imagine you are running PE class. You run the first 1000 meters in 3 minutes and then get tired and run the last 600 meters in 5 minutes. What was your *average* speed?

Answers

Answer:

Va = 3.77 [m/s]

Explanation:

We know that speed is defined as the relationship between the distance traveled in a given time.

v = L/t

where:

v = speed [m/s]

L = distance = 1000 [m]

t = time = 3 [min] = 180 [s]

Therefore the first speed is:

v = 1000/180

v = 5.55 [m/s]

Now the second velocity:

t = 5 [min] = 300 [s]

v = 600/300

v = 2 [m/s]

The average speed is calculated by the sum of both speeds divided by two.

Va = (5.55 + 2) /2

Va = 3.77 [m/s]

Someone help me plz. I have no idea. ​

Answers

Answer:

fault im pretty sure

Explanation:

Answer:

fault............

...........

Una persona de 80 kg de masa corre a una velocidad cuya magnitud es de 9m/s. Cual es la magnitud de la cantidad de movimiento? Que magnitud de velocidad debe llevar una persona de 55 kg para tener la misma magnitud de la cantidad de movimiento que la persona de 80 kg?

Answers

Responder:

13,01 m / s

Explicación:

Paso uno:

datos dados

masa de la persona 1 m = 80 kg

velocidad de la persona 1 v = 9 m / s

masa de la persona 2 M = 55kg

velocidad de la persona 2 v =?

Segundo paso:

la expresión del impulso se da como

P = mv

para la primera persona, el impulso es

P = 80 * 9

P = 720N

Paso tres:

queremos que la segunda persona tenga el mismo impulso que la primera, por lo que la velocidad debe ser

720 = 55v

v = 720/55

v = 13,09

v = 13,01 m / s

Por lo tanto, la magnitud de la velocidad debe ser 13.01 m / s.

help me, please!!!!!!

Answers

Answer:

Explanation:

The highest surface part of a wave is called the crest, and the lowest part is the trough. The vertical distance between the crest and the trough is the wave height. The horizontal distance between two adjacent crests or troughs is known as the wavelength...

HEY GUYS IS THIS TRUE OR FALSE????????

Answers

True it is true so put true

can someone pls help me with this?

Answers

C because they are both going in a constant speed
Other Questions
Kayla drives 144 miles in 3 hrs. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on an average? Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked. i need it now Which statement from the passage BEST shows that David and Chan are committed to Tae Kwon Do?A.Following an elaborate series of patterned moves, Chan could execute high spinning kicks and break wood boards with his hands and feet.B.He had planned to skip International Night this year precisely because his cousins, Marjorie and Jamal, were making their once-a-year visit.C.Chans parents had taken him there to learn about his heritage; Davids mom had enrolled him because she needed him to be in some class or club after school . . . .D.Will your wrist be okay? David asked, thinking about the upcoming regional martial arts contest they had been training for. Can anyone help me please ?? What is the formula of Acceleration for mass and time As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds. what, approximately, is the mean weight for babies born during the two-month.? 7.83 pounds 7.93 pounds 7.95 pounds 7.97 pounds 7.99 pounds Where do convection currents occur?A.In areas with the same temperatureB.In areas with different air pressuresC.In areas with the same altitudeD.In areas with different cloud types How do I do this? Im lost Prohibition led to A. the Great MigrationB. Organized CrimeC. FundamentalismD. World War 1 Which of the following would be an example of an implicit cost?(i)forgone investment opportunities(ii)wages of workers(iii)raw materials costsGroup of answer choices Sydney loves people. Throughout high school, she volunteered at theRed Cross. During the summers, she worked at social serviceorganizations and saved for college. She has two years of college left,and she's out of money. She's going to a state school. Even so, thetwo-year tab for tuition, room, board and books is nearly $20,000. Shecan borrow that sum through low-interest student loan programs. Sheknows about Dave Ramsey and has asked you what he might advise herto do. Which are true about the Federalist Papers? (Select all that apply.)A- George Mason edited the newspaper that published the Federalist papersB- The Federalist Papers criticized the Constitution and led to its revisionC- The Federalist Papers responded to letters written by the anti-federalistsD- James Madison was an author of both the Constitution and the Federalist Papers What is the term used to describe the way the behavior of buyers and sellers affects the level of prices for goods and services, without government interference? Find the 87th term of the arithmetic sequence 12, 0, -12, Someone help Ill give brainlist lol Read this passage about Amelia Earhart.Amelia Earhart was born July 24, 1897, in Kansas. She was an adventurous and fun-loving child. That adventurous spirit remained as she grew older. One day in 1920, after going on a plane ride, she was determined to fly planes. She worked at any job she could find to save up for flying lessons, which cost $1,000. At one point, she worked as a nurses aid and a social worker. Six months after receiving flying lessons, Amelia bought her own plane, and she flew as high as 14,000 feet, which set a world record for female pilots. A short time afterward, Amelia became the sixteenth female to earn a pilots license. In 1928, an opportunity arose for Amelia to participate in a transatlantic flight across the Atlantic Ocean as a copilot. This experience later came in handy when she became the first woman to fly solo across the Atlantic in 1938. She received many honors for this achievement, such as the Distinguished Flying Cross from Congress.As Amelia approached her fortieth birthday, she was planning her biggest trip yet: She wanted to be the first woman to fly around the world. Of course, she needed a lot of help to make this happen. She made a first attempt that failed and damaged her plane. But Earhart was not one to give up, so she made another attempt at the ground-breaking mission. She did make some progress by flying 7,000 miles to New Guinea but did not make it to her next stop, Howland Island. Sadly, Earharts plane disappeared, and, despite search and rescue attempts, she was never found. To this day, Earhart is known and celebrated for her bravery, persistence, and commitment to aviation.Which sentence from the passage contains information that could best be used to create a yearbook blurb about Amelia Earhart?As Amelia approached her fortieth birthday, she was planning her biggest trip yet. Sadly, Earharts plane disappeared, and, despite search and rescue attempts, she was never found. One day in 1920, after going on a plane ride, she was determined to fly planes.Six months after receiving flying lessons, Amelia bought her own plane, and she flew as high as 14,000 feet, which set a world record for female pilots. A racecar is racing along a circular track. The car starts at the 3-o'clock position and travels CCW along the track. The car is constantly 8 feet from the center of the race track and travels at a constant speed and it takes the car 7.854 seconds to complete one full lap. a. How many radians does the car sweep out per second? radians per second Preview b. Write a function fthat determines the car's distance to the right of the center of the race track (in feet) in terms of the number of seconds t since the start of the race. f(t) Why are the no locks on the Suez Canal the answer is B. The elevation of the Red and Mediterranean Seas are about the same. ANSWER!! (DUE TMR) (THERE WILL BE MORE) (EASY QUESTIONS) does anyone like 4freakshow if so start a convo in comments 11-16 pleasee