Jupiter’s moon, Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10-3 AU from Jupiter’s center. A second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. How far away is Callisto from the center of Jupiter?

Answers

Answer 1

Answer:

0.0124 AU

Explanation:

Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10⁻³ AU from Jupiter’s center.

We need to find how far away is Callisto from the center of Jupiter if a second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. Let it is r₂. Using third law of Kepler.

[tex]T^2\propto r^3[/tex]

i.e.

[tex](\dfrac{T_1}{T_2})^2=(\dfrac{r_1}{r_2})^3\\\\\dfrac{r_1}{r_2}=(\dfrac{T_1}{T_2})^{2/3}\\\\r_2=\dfrac{r_1}{(\dfrac{T_1}{T_2})^{2/3}}\\\\r_2=\dfrac{7.1\times 10^{-3}}{(\dfrac{7.15}{16.69})^{2/3}}\\\\r_2=0.0124\ \text{AU}[/tex]

So, Callisto is 0.0124 AU from the center of the Jupiter.


Related Questions

Owen throws a baseball straight upward. We can ignore air resistance.
What is true about the acceleration and velocity of the ball on its way up?

Answers

Answer:

The acceleration of the ball is constant and equal to -9.81 m/s² (acting downwards)

The velocity of the ball reduces at a constant rate with time on its way up

Explanation:

The motion of the ball upwards is described by the following equation;

v = u - g × t

v² = u² - 2 × g × s

Where;

v = The final velocity of the ball

u = The initial velocity of the ball

g = The acceleration due to gravity = Constant

s = The height of the bass after a given time, t

t = The time in which the ball is rising

Therefore, the acceleration of the ball = The acceleration due to gravity  (Constant) = -9.81 m/s²↓

From v = u - g × t = u - 9.81 × t , the velocity of the ball reduces at a constant rate with time on its way up.

Answer:

Acceleration remains constant and velocity decreases

Explanation:

Which of the following is the chemical formula for an element?

Answers

Answer:

A chemical symbol is a one- or two-letter designation of an element. Compounds are combinations of two or more elements. A chemical formula is an expression that shows the elements in a compound and the relative proportions of those elements. Many elements have symbols that derive from the Latin name for the element.

Diego hypothesizes that the Earth wobbles on its axis in a pattern that is repeated every 20,000 years.

Which of the following ways would be the best way to test Diego's hypothesis?
A.
conduct a controlled experiment
B.
make observations in nature
C.
observe the movement of other planets
D.
make a model

Answers

I’m not sure but I think it’s D because we don’t have 20,000 years to make observations

Answer:

its d

Explanation:

i did itand it was d

Please help i will Mark it Brainly

Answers

Answer:

2nd one :)

Explanation:

Answer:  the second one

Explanation:

Mamie Clark was a psychologist who is known for her research on __________. A. intellectual and developmental disabilities and gifted children B. racism and its adverse effects on child development C. identity development among Asians living in the US D. academic development of children in desegregated schools

Answers

Answer:

B. racism and its adverse effects on child development

Explanation:

Dr. Mamie Clark studied the effects of segregation and racism on the self-esteem of black children.

According to Clark in O'Connell & Russo, 2001, p. 271; "To separate them from others of similar age and qualifications solely because of their race generates a feeling of inferiority as to their status in the community that may affect their hearts and minds in a way unlikely ever to be undone...."

One of her works titled "The Development of Consciousness of Self and the Emergence of Racial Identification in Negro Preschool Children" investigated the early level of conscious racial identity in black preschool children.

Answer:

B

Explanation:

cuz its B

What is a good question for a Science Fair (7th grade advanced) also im an online student so nothing really physical something that can really explain thru pictures. I just want suggestions thank you.

Answers

Photosynthesis is a good one you can really explain with pictures

An object changes its speed from 18 m/s to 24 m/s in 4.7 seconds. What is the acceleration of this object in m/s/s?

Answers

Answer:

1.276 meter per second per second

Explanation:

total speed increase 6 m/s divided by the time

Which is an example of
kinetic energy?
A. An apple falling from a tree
B. A book sitting on a table
C. A plate of hot food
D. A parked car

Answers

Answer:

A. an apple falling from a tree

Explanation:

What will happen to the volume of the gas when the temperature is increased?
Explain your answer

can I have a short answer that explains everything cause my teacher hates me so much lol

Answers

Answer:

the pressure will increase.this will cause the molecules of the gas will move faster and thats why the pressure or force increase the volume is the same

Miguel added 150 grams of baking soda to a liter of water at 20 °C. No matter how long he keeps stirring the solution, he can’t get all of the baking soda to dissolve. Explain why.

Answers

Answer:

See the answer below

Explanation:

This is because, at 20 °C, the solution has become saturated with the baking soda.

The solubility of a substance is the maximum amount of that substance that will dissolve in a particular solvent at a given temperature. The solubility of a substance generally increases with an increase in temperature.

At 20 °C temperature, the maximum amount of baking soda that can dissolve in a liter of water has been exceeded by Miguel. Hence, no matter how hard he tries to stir the solution, the excess baking soda will not dissolve.

The reason he can’t get all of the baking soda to dissolve is; because at 20 °C, the solution has become saturated with the baking soda.

What is a saturated solution?

For us to say a substance is soluble, it means that the maximum amount of that substance will dissolve in a particular solvent at a given temperature. Thus, the solubility of a substance is said increase with a corresponding increase in temperature.

From the question, at 20 °C temperature, miguel has exceeded the maximum amount of baking soda that can dissolve in a liter of water. Therefore, no matter how hard he tries to stir the solution, it will not dissolve due to the excess soda.

Read more about saturated solution at; https://brainly.com/question/4529762

i will give u brainliest!

Answers

Answer:

I think its false

Explanation:

It doesn't make sense that the doctor found it in her stool

Name the material used to transfer of charges from one body to other​

Answers

Answer:

conductor

Explanation:

A "conductor" is a material that allows the charges to pass freely from one body to the other. This causes a movement among the electrons and this means that the charge will be passed entirely to the object receiving it. This is also called "conductive material."

Examples of conductors are: copper, aluminum, gold, silver, seawater, etc.

The opposite of conductors are called "insulators." These do not allow the free movement of charges from one object to the other.

Examples of insulators: plastic, rubber, paper, glass, wool, dry air, etc.

Answer:

conductor

Explanation:

PLEASE HELP!!
A player punts a football at an angle of 30 degrees. The football has an initial
velocity of 20.0 m/s. Find the y-component of the ball's velocity.
17.3 m/s
O 10.0 m/s
O 30.0 m/s
0 25.1 m/s

Answers

Answer:

The y-component of the ball's velocity is 10 m/s

The second choice 10.0 m/s is correct

Explanation:

Projectile Motion

It's the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

Being vo the magnitude of the initial velocity and θ the angle it makes with the horizontal, the components of the initial velocity are calculated as follows:

[tex]v_{ox}=v_o.\cos\theta[/tex]

[tex]v_{oy}=v_o.\sin\theta[/tex]

Since the football is kicked at vo=20 m/s and an angle of θ=30°:

[tex]v_{oy}=20.\sin 30^\circ[/tex]

[tex]v_{oy}=20*0.5=10[/tex]

The y-component of the ball's velocity is 10 m/s

The second choice 10.0 m/s is correct

13. A baseball pitcher throws a fastball at a speed of 46m/s. The
acceleration occurs as the pitcher holds the ball in his hand and moves it
through an almost straight line distance of 3.5 m. Calculate the
acceleration, assume it is constant and uniform. (Answer in 3 sig figs and
do not include units) *

Answers

Answer: Approximately 302 m/s^2

================================================

Work Shown:

s = starting velocity = 0

f = final velocity  = 46

d = distance = 3.5

a = acceleration = unknown (we're solving for this)

[tex]f^2 = s^2 + 2a*d \ \ \text{ ..... one of the kinematics equations}\\\\46^2 = 0^2 + 2a*3.5\\\\2116 = 7a\\\\7a = 2116\\\\a = \frac{2116}{7}\\\\a \approx 302.28571\\\\a \approx 302[/tex]

The acceleration to three sig figs is roughly 302 m/s^2

The acceleration is so large because the ball's final velocity is incredibly fast in such a short amount of time.

Is a cookie crumbling or in other words breaking a cookie a physical change?

Answers

Answer:

Yes it is a physical change

Explanation:

The cookie is still a cookie even when it has been broken apart, so it cannot be a chemical change. The cookie only changed physically.

PLEASE HELP!!!
If the potential difference across a 30.0-ohm resistor is 10.0 volts, what is the current through the resistor?

Answers

V(voltage) = I(current)R(resistance)
we can convert this to I = V/R
now just substitute

I = 10/30
I = 1/3 or 0.33

current = 0.33

How many layers of data can a DVD store?
3
2
4
1
1

Answers

Answer:

Capacidad de almacenamiento ofrecida por los DVD

Hay que mencionar que es posible conseguir DVD de una o dos capas. Los DVD que cuentan con una capa son capaces de almacenar aproximadamente 4.7GB de datos, mientras que los de doble capa ofrecen la posibilidad de almacenar alrededor de 8.5GB

Explanation:

Answer:

4 layers

Explanation:

i took the quiz

Megan is standing on a ladder picking apples in her grandfathers orchard. As she pulls each Apple off the tree, tosses it into a basket that sits on the ground 3.0m below at a horizontal distance of 2.0m from Megan. How fast must Megan throw the apples (horizontally) in order for them to land in the basket

Answers

Answer:

2 meters per second

Explanation:

What determines the velocity of an object?
O A. Its acceleration at a given point in time
O B. Its weight in a given location
C. Its displacement in a given period of time
O D. Its mass at its final position

Answers

Answer:

C

Explanation:

Option C - Its displacement in a given period of time is the correct alternative.

We have the velocity of an object.

We have to find out what other quantity is needed to determine the velocity.

What is velocity ?

Velocity is defines as the rate of change of displacement with time. Mathematically -

v = Δx/Δt

According to the question -

As discussed above, velocity is the ratio of displacement and time taken to cover that displacement. Velocity is the measure of how fast a specific object is moving. Lesser the time taken to cover the distance, faster is the object as -

F [tex]\alpha[/tex] 1 / t

Acceleration, weight and mass of the object has nothing to correlate with the velocity of object at any specific location since mass and weight will remain constant throughout.  Therefore it is displacement in given period of time that is required.

Hence, Option C is the correct alternative.

To solve more questions on Velocity, visit the link below-

https://brainly.com/question/28552266

#SPJ2

WILL MARK BRANLIEST PLZ HELP FAST
Answer The Questions Based on The Graph
1. Which limiting factor(s) in this lab simulation are biotic?

2. Which limiting factor(s) in this lab simulation are abiotic?

3. Which limiting factor impacted the cricket frog population the most? Use evidence to support your answer.

4. Which limiting factor impacted the cricket frog population the least? Use evidence to support your answer.

5. Mosquitoes can carry and transmit disease to animals and humans. Explain how the cricket frog plays an important role in limiting the spread of mosquito-borne illnesses like West Nile virus and malaria.

6. Predict the long-term effects of these limiting factors on the cricket frog population in the pond ecosystem.

Answers

Answer:

1. Which limiting factor(s) in this lab simulation are biotic?

The limiting factors in this lab that are biotic are predators and food.  

2. Which limiting factor(s) in this lab simulation are abiotic?

The limiting factor in this lab that is abiotic is pollution.  

3. Which limiting factor impacted the cricket frog population the most? Use evidence to support your answer.

The limiting factor that impacted the cricket frog population the most is the predators because the population went to 90K and then all the way down to 15K.

4. Which limiting factor impacted the cricket frog population the least? Use evidence to support your answer.

The limiting factor that impacted the cricket frog population the least is pollution because it stayed the same then went down to 35K.

5. Mosquitoes can carry and transmit disease to animals and humans. Explain how the cricket frog plays an important role in limiting the spread of mosquito-borne illnesses like West Nile virus and malaria.

The cricket frogs play an important role in limiting the spread of mosquito borne illnesses because they consume the mosquitos and decrease the population of contaminated mosquitos.  

6. Predict the long-term effects of these limiting factors on the cricket frog population in the pond ecosystem.

Eventually the cricket frog population may die out because of all the negative factors. If there are too many mosquitoes, then the frog population can begin to die out. With pollution, the frogs do not have a safe and clean environment to leave in and can get infected, sick, and can die after a while. Crocodiles need to eat, so they are also bringing down the population.

Which of these causes summer in the northern hemisphere?

The Sun is closer to Earth during the summer.

The northern hemisphere receives more direct sunlight during the summer.

Earth's northern axis is tilted away from the Sun during the summer.

The North Pole is tilted away from the Sun during the summer.

Answers

Answer:

The northern hemisphere receives more direct sunlight during the summer.

What acceleration will all objects experience during their flights through the air (on Earth)?

Answers

Answer:

d

Explanation:

Answer:

9.8 m/s/s

Explanation:

As such, all objects free fall at the same rate regardless of their mass. Because the 9.8 N/kg gravitational field at Earth's surface causes a 9.8 m/s/s acceleration of any object placed there, we often call this ratio the acceleration of gravity

PLEASE HELP

Which object has the least average speed?

A. object A
B. object B
C. object C
D. object D

Answers

Answer:

D

Explanation:

I could be wrong, But I'm pretty sure it's D

Two particles are separated by 0.38 m and have charges of -6.25 x 10-°C
and 2.91 x 10-°C. Use Coulomb's law to predict the force between the
particles if the distance is cut in half. The equation for Coulomb's law is
Fe = kqu92, and the constant, k, equals 9.00 x 109 Nm2/C2
A. 1.13 x 10-6N
B. 4.53 x 10-6N
C. -1.13 x 10-6N
D. -4.53 x 10-6N

Answers

Answer:

-4.53 X 10-6N

Explanation:

apex

two same size anvils are dropped from different heights (one higher than the other) . Assume both anvils are made of the same material (iron) and there is no air resistance. Which anvil hits the ground first​

Answers

Answer:

The anvil that was held the lowest.

Explanation:

Assuming they were dropped at the same time, the anvil that was held at the lowest point, will hit the ground first.

A runner is jogging in a straight line at a steady vr= 7.3 km/hr. When the runner is L= 2.1 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 29.2 km/hr (4 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line. How far does the bird travel from the beginning (including the distance traveled to the first encounter

Answers

Answer:

Explanation:

Time taken by jogger to travel the distance to finishing line = 2.1 / 7.3

= .28767 hr

Bird will keep flying for this time period

distance covered by bird = speed x time

= 29.2 x .28767 km

= 8.4 km .

Technician A says that leather shoes offer more protection than canvas shoes. Technician B says that steel toed boots are essential to protecting your feet from injury. Which technician is correct?

A) Technician A only B) Technician B only

C) Both technicians A and B D) Neither technician A nor B

Answers

Answer: Both technicians A and B

Explanation:

Based on the scenario in the question, it should be noted that leather shoes offer more protection than canvas shoes and that steel toed boots are essential to protecting your feet from injury.

Leather shoes are more durable and offer better protection than canvas. The strength of the material that they're made from can help in offering extra protection which is necessary in an environment where there's possibility of accidents involving falling objects.

Also, for the people who work in a work environment with many heavy machines and equipments, it is vital to it on protective steel toed boots in order to prevent the workers from feet related injuries.

In which scenario will the two objects have the greatest gravitational force
between them?
A. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
B. Mass of object 1 = 15 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m
C. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 0.5 m
h
O D. Mass of object 1 = 12 kg
Mass of object 2 = 12 kg
Distance between objects = 1.5 m

Answers

Ansewer

A

Explanation:

Answer : B

Explanation: Right answer trust me!

Describe two specialized areas of geology.

Answers

Answer:

There are many different specialized fields of geology. Volcanology is the study of volcanoes, lava, magma, and all related geological phenomena. Geomythology is the study of geological events as they relate to mythology.

Explanation:

Hope this helps! <3

what has the greatest effect on refraction?​

Answers

Answer:

Which eye structure has the greatest effect on light refraction? ... They are the ciliary muscle, which controls the shape of the lens for accommodation, and the iris, the pigmented ring of muscles that regulates the amount of light entering the eye.

Explanation:

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