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

How do the independent and dependent variables in an experiment compare?
А.
The independent and dependent variables have no effect on each other.
В.
The dependent variable controls the independent variables.
C
The independent and dependent variables are the exact same as each other.
D
The independent variable controls the dependent variables.

Answers

D .. hope this helps a lot ;)

Someone in a car going past you at the speed of 32 m/s drops a small rock from a height of 2 m. How far from the point of the drop will the rock hit the ground? the acceleration due to gravity is 9.8m/s^2. answer in units of m.

Answers

Answer:

The rock will hit the ground at 20.44 m from the point of the drop

Explanation:

Horizontal Motion

It occurs when an object is thrown horizontally from a height h at an initial speed v.

The range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

When the small rock is dropped from a car at speed v=32 m/s, it starts a curved path that ends up when the rock hits the ground. The height is h=2 m, thus the range is:

[tex]\displaystyle d=32\cdot\sqrt{\frac {2\cdot 2}{9.8}}[/tex]

[tex]\displaystyle d=32\cdot\sqrt{0.4082}[/tex]

[tex]d=20.44\ m[/tex]

The rock will hit the ground at 20.44 m from the point of the drop

Can you give
an
example of a physical quantity
which cannot be measured?​

Answers

Answer:

Feeling's.

Explanation:

Nobody can measure the feeling of a person or love , etc

Foolishness cannot be measured

How does the force of gravity change between two planets when the masses ofBOTH planets are doubled?
Fg=G m1m2
d2
O A
2 times the gravity
B.
4 times the gravity
O
C
no change in gravity
Oo
1/2 the gravity

Answers

Answer:

B. 4 times

Explanation:

Fg'=G(2m1)(2m2)/d²

Fg'=4Gm1m2/r²

In 1900, a German physicist discovered an equation that matched experimental data about the emission of light by a hot surface. *

a. Max Planck
b. Sir Isaac Newton
c. James Clerk Maxwell
d. Christian Huygens

Answers

C. James Clerk Maxwell
I believe he made a theory that light was electromagnetic radiation
C is the correct answer.
James Clerk Maxwell

A car’s velocity changes from 35 m/s to stopped in 13 seconds. Calculate
acceleration.

Answers

To find acceleration you use the formula velocity divided by change in time, so if you do this you would get 2.7 rounded but I don’t know if this is correct. 35/13=2.692

Mars Odyssey and Mars Express required spectrometric equipment that could analyze Mars's atmosphere and surface composition and temperatures. Using internet resources, describe some home or business technologies that use spectrometric equipment to analyze the atmosphere or temperature.

Answers

Answer:

Spectrometric monitoring offers a continuous operating measurement system for nuclide specific detection of low level gamma contamination in air and in liquids. A spectroscopic analysis is performed in order to identify radionuclides.

Explanation:

i think

Answer:

If you need to match paint for a repair, you can take a paint chip to a hardware store, and they can analyze it to mix paint for an exact match to the chip.

Light bulb manufacturers probably use spectrographic analysis to create bulbs that are rated warm, cool, etc.

Manufacturers of sunglasses probably analyze the intensity of light at different frequencies (colors) that are transmitted by the glasses.

Steel makers can measure the temperature of molten metal in a furnace using   a radiometer.

QUICKK I NEED HELP!!
How is a mineral different from an element rock

Answers

Answer:here you goo

Explanation:

A mineral is a naturally occurring inorganic element or compound having an orderly internal structure and characteristic chemical composition, crystal form, and physical properties. ... A rock is an aggregate of one or more minerals, or a body of undifferentiated mineral matter.

Answer:

Minerals are naturally occuring solid while rocks are naturally occuring substances consist of aggregate minerals clumped together with other materials

Use the term chemical change in a complete sentence

Answers

Answer:

A paper being burned is a chemical change.

45 POINTS!! IF ANYONE IS WILLING TO DO THIS YOU'RE A HERO

Pretend you are in a world with no friction or air resistance. You are on your bicycle at the top of a small hill. You kick off and without pedaling, you roll down the hill. How far will you go without pedaling in this pretend world? How does it compare with how far you might go in the real world? If there is a difference between the two worlds, why is this so? Explain as precisely as you can, using the law of conservation of energy in your explanation.

A 2-4 paragraph expository essay. This will include a full explanation of the normal conditions scenario and the frictionless world scenario in paragraph form.
No matter the format, the work must include:

A description of the bike’s behavior in our normal world with friction and air resistance, including distance traveled.
A description of the bike’s behavior in a frictionless, air resistance free world including distance traveled.
An explanation of forces at play in both scenarios and the kinetic and potential energy levels of the bike at various points in its travel down the hill. This will include application of the Law of Conservation of Energy using appropriate vocabulary words.
Spelling, grammar conventions, sentence structure and visual choices that allow your reader to access the information you are providing.

Answers

Answer:

you will go no where as far as you wish because there is no air resistance or friction, causing you to not stop.  In the real world, you would stop a little bit after you got done with the hill because you have friction and air Resistance to bring you to a stop.  There is a huge difference because in real life, there is a lot of friction and air resistance in the real world, which will eventually bring someone to a stop no matter how fast they are going.  

Explanation:

Two bodies made of the same material have same external dimension and appearance, but one is compact solid and other is hollow. When they heated for the same temperature range, is the overall volume expansion the same or different? Explain.

Answers

Answer:

Different

Explanation:

The hollow one will expand even more making it have a larger volume then the solid one so they are different

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

What is the net force on a bathroom scale when a 110 pound person stands on it? How do you know?

Answers

The scale is a rest scale reads the support for is not enough net force.

it is harmful to settle near the airport why

Answers

Yes, plane accidents can happen near you, it can harm your property and cause a disaster.

Which two staments explain how a cell's parts help it get nutrients

Answers

Answer:

I think it's A and D.

What determines the amount of thermal energy of an object?

Answers

The greater the mass of a substance of a given temperature, the more thermal energy it has. or substance is temperature. When temperature is higher, the object or substance has more thermal energy.

The south pole of one bar magnet is near the south pole of another bar magnet. What happens between the magnets?

A. They attract each other.
B. They twist toward each other.
C. They neither attract nor repel each other.
D. They repel each other.

PLEASE HELP!!!!!!!!!!​

Answers

the answer would be D

The south pole of one bar magnet brings near the south pole of another bar magnet, they repel each other. Therefore, option (D) is correct.

What are the magnets?

A magnet can be defined as an object which is capable of producing a magnetic field and attracting unlike poles and repelling like poles. When a magnet dropped in iron filings, the iron filings cling to the end of the magnet as the attraction is maximum at the ends of the magnet.

Magnetic poles always exist in pairs whenever a magnet is suspended freely in the air, and always points in the north-south direction. The pole pointing towards the geographic north is called the North Pole and the pole pointing towards the geographic south is called the South Pole.

Similar poles of a magnet repel while unlike poles attract each other. The magnetic force between the two magnets is higher when the distance between these magnets is lesser. There are three types of magnets which are Permanent magnets, Temporary magnets, and electromagnets.

Learn more about magnets, here:

https://brainly.com/question/3617233

#SPJ5

5. What are the horizontal and vertical components of a 10 unit vector that is oriented 48
degrees above the horizontal?

Answers

Answer:

Fx  = 6.69 [N]

Fy  = 7.43 [N]

Explanation:

In order to solve this problem, we must remember that the x & y components of a vector can be determined using the cosine and sine function of the angle.

Fx = 10*cos (48) = 6.69 [N]

Fy = 10*sin (48) = 7.43 [N]

True or false. Atoms of a given element will have the same mass.

Answers

Answer:

True

Explanation:

Atoms of the same element will always have the same atomic mass or the mass listed in the periodic table.

is the term used to describe the removal of sand and soil by the wind.

Answers

Answer:

erosion

Explanation:

A dog chases a skateboarder travelling at 10.4m/s.The skateboarder speeds up with a constant acceleration for 39m over 3.3s. We want to find the acceleration of the skateboarder over the 3.3s time interval.

Answers

Answer:

The acceleration of the skateboarder over the 3.3s time interval is 3.15 m/s²

Explanation:

Acceleration can be described as the rate of change of velocity (as seen in the question). The formula to be used here to determine the acceleration is

Acceleration (in m/s²) = velocity (m/s) ÷ time (s)

Acceleration = 10.4 ÷ 3.3

Acceleration = 3.15 m/s²

Thus, the acceleration of the skateboarder over the 3.3s time interval is 3.15 m/s²

A diver is on a board 1.80 m above
the water. She jumps straight up
at 3.62 m/s.
At what speed does she hit the water?
[?] m/s

Answers

Answer:

v = 6.95 m/s

Explanation:

Given that,

A diver is on a board 1.80 m above  the water, s = 1.8 m

The initial speed of the diver, u = 3.62 m/s

Let v is the speed with which she hit the water. It will move under the action of gravity. Using the equation of motion as follows :

[tex]v^2-u^2=2gs\\\\v=\sqrt{u^2+2gs} \\\\v=\sqrt{(3.62)^2+2(9.8)(1.8)} \\\\v=6.95\ m/s[/tex]

So, she will hit the water with a speed of 6.95 m/s.

What is another example of radiation
(A) Warm air rising
(B) Heat from an old-fashioned radiator
(C) Batteries
(D) Touching a stove and burring your hand

Answers

Batteries are another example of radiation

A cannonball is shot from the top of
a 47.8 m high hill at a speed of
53.7 m/s. At its highest point, it is
moving at 31.5 m/s.
How high is it then?

Answers

A cannonball is shot from the top of a 47.8 m high hill at a speed of 53.7 m/s. The height then is 61.81 m/s.

What are kinematic equations?

The motion of an object with constant acceleration is described by a set of equations known as kinematic equations. Integrals, derivatives, and rates of change must all be understood in order to solve kinematics equations.

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value.

The kinematic equation is:

v² = u² + 2gs (a = g)

Where u is the initial velocity, a is the acceleration, and v is the velocity after the time period t.

(53.7)² + 2 x 9.8 x 47.8 m

Therefore, the height is 61.81 m/s.

To learn more about kinematic equations, refer to the below link:

https://brainly.com/question/23577405

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it’s 144.2 I have it in my notes from when I was in school!!!!

A student collects 25 mL of gas at 96 kPa. What volume would this gas occupy at 101.325 kPa. There is no change in temperature or mass.

Answers

Answer:

The answer is 23.69 mL

Explanation:

The new volume can be found by using the formula

[tex]P_1V_1 = P_2V_2[/tex]

Since we are finding the new volume

[tex]V_2 = \frac{P_1V_1}{P_2} \\[/tex]

From the question we have

101.325 kPa = 101325 Pa

96 kPa = 96000 Pa

From the question we have

[tex]V_2 = \frac{25 \times 96000}{101325} = \frac{2400000}{101325} \\ = 23.68615840...[/tex]

We have the final answer as

23.69 mL

Hope this helps you

Predict If you sit on a moving bus and toss a coin straight up into the air, where will it land?

Answers

Answer:

the same place you threw it from

Explanation

PLEASE HELP! thxssss

Answers

Answer:

D is correct

Explanation:

Which of these is an example of a longitudinal wave?

Answers

Answer:

D. Sound waves

Explanation:

The following options are missing:

A. radio wave

B. X-rays

C. Light waves

D. Sound waves

There are two kinds of waves: longitudinal and transverse.

In longitudinal waves, the vibrations are parallel to the direction of wave travel. Examples of longitudinal waves include: sound waves  and ultrasound waves.

In transverse waves, the vibrations are at right angles to the direction of wave travel. All electromagnetic waves (e.g. light waves, microwaves, radio waves and X-rays) are transverse waves.

An eagle is flying horizontally 16.4 meters above a lake at a speed of 9.3 m/s, carrying a small pumpkin in its talons. The pumpkin slips free. How far horizontally will the pumpkin travel after it slips from the eagle until it hits the ground?

Answers

Answer:

The horizontal distance the pumpkin will travel after it slips from the eagle is 17.02 m

Explanation:

Given;

height above the ground, h = 16.4 m

speed of the eagle, v = 9.3 m/s

The time it will take the pumpkin to fall at the given height is calculated as;

[tex]t = \sqrt{\frac{2h}{g} }\\\\t = \sqrt{\frac{2*16.4}{9.8} }\\\\t = 1.83 \ s[/tex]

The horizontal distance traveled at this time is given by;

x = vt

x = (9.3)(1.83)

x = 17.02 m

Therefore, the horizontal distance the pumpkin will travel after it slips from the eagle is 17.02 m

Please help! I’ll give brainliest! :)

Answers

Answer:

C.) Gravity

Explanation:

The projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile.

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