Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km.

How high would this material go on earth if it were ejected with the same speed as on Io? ( RE =6370km , mE=5.96×1024kg )
Include variations in gravitational acceleration

Answers

Answer 1

The material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

What is will be the height of the material on earth?

The height of the material on earth will be derived from the given values as follows:

Gravitational constant, G = 6.67 × 10⁻¹¹ m³/kgs²radius of Io, r = 1821000 mmass of Io, m =  8.93 × 10²² kgHeight of materials, H = 500000 macceleration due to gravity on Earth, g = 9.81 m/s²

Tue acceleration due to gravity on Io, go is given as:

[tex]g_o = \frac{GM}{r^{2}}[/tex]

Substituting the values:

[tex]g_o= \frac{6.67×10^{-11}×8.93×10^{22}}{1821000^{2}}[/tex]

[tex]g_o = 1.796 m/s^{2}[/tex]

Height on earth, He and Height on Jupiter H is given as follows:

[tex]H_e = \frac{v^{2}}{2g}[/tex]

[tex]H = \frac{v^{2}}{2g_o}[/tex]

Taking ratio of the two heights and solving for height on earth, He:

[tex]H_e = H × \frac{g_o}{g}[/tex]

Substituting the values:

[tex]H_e = 500000 × \frac{1.796}{9.81} = 91539.245 m[/tex]

Therefore, the material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

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Related Questions

A body of mass 200gram is executing SHM with amplitude of 20mm. The magnitude of maximum force which acts upon it is 0.6N. Calculate its maximum velocity?

Answers

Given ,

Mass of the body (m) = 200g

Amplitude (A) = 20mm

Maximum force (F) = 0.6 N

Maximum velocity (vmax) =?

We know that

Fmax = mv2max/A

or , 0.6 = 200×10-3xv2max/20×10-3

or , 0.6×20/200= v2max

or , vmax = 0.24 m/s

∴ Maximum velocity = 0.24 m/s2

The value of maximum velocity will be 0.3464 m/s². Energy or work is equal to the product of force and displacement.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The given data in the problem is

Mass of the body is,(m= 200g)

Amplitude is,(A  =20 mm)

Maximum force is,F= 0.6 N

To find;

Maximum velocity

Energy or work is equal to the product of force and displacement.

[tex]\rm KE = \frac{1}{2} mV_{max}^2 \\\\ \rm F_{max} \times A = \frac{1}{2} mV_{max}^2 \\\\ F_{max}= \frac{1}{2}\frac{ mV_{max}^2}{A} \\\\ 0.6= \frac{1}{2}\times \frac{ 0.2 \times V_{max}^2}{20 \times 10^{-3}} \\\\ V_{max}=0.3464 \ m/sec^2[/tex]

Hence,the value of maximum velocity will be 0.3464 m/s².

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What do these two have an common ? A slice of banana turning brown, A banana getting ripe on the counter

Answers

Answer:

After some time on the counter, ripe bananas will develop a brown peel. Bananas contain the enzyme polyphenol oxidase, and when the enzyme interacts with oxygen, it causes a chemical reaction. This chemical reaction, known as enzymatic browning, changes the banana's peel and fruit to brown

Explanation:

. True or False: A bystander intervention is the term used to define when an individual actively moves in and changes the outcome of a situation.

Answers

Answer:

true

Explanation:

the diagram aeroplane banking to make a horizontal turn .The aeroplane is travelling at a speed of 75ms-1 and the radius of the turning circle is 800m ​

Answers

The centripetal acceleration of the aeroplane is determined as 7.03 m/s².

Centripetal acceleration of the aeroplane

The centripetal acceleration of the aeroplane is calculated as follows;

ac = v²/r

where;'

v is the speed of the aeroplaner is the radius of the path

ac = (75²)/(800)

ac = 7.03 m/s²

Thus, the centripetal acceleration of the aeroplane is determined as 7.03 m/s².

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Answer this question and show all the necessary steps to solve.

Answers

Answer:

√ ae/ ap = √ mp/me 1/2

Explanation:

Mass of the electron = M (Given)

Mass of the proton = M (Given)

Time = t (Given)

Electrostatic force, FE = eE (for both electron and proton)

But acceleration of electron, ae =FE/me whereas

acceleration of proton, ap = FE/mp

S = 1/2at²1 = 1/2apt²2

Therefore,

t2/t1= √ ae/ ap

t2/t1= √ ae/ ap = √ mp/me 1/2

Thus, the ratio is nearly equal to = √ ae/ ap = √ mp/me 1/2

so, option D is correct

Answer:

Correct option is D) …

Explanation:

For electron t1​ (small 1) = [tex]\sqrt{ \frac{2S}{ae}[/tex] (small e)

For protion, t2 (small 2) = [tex]\sqrt \frac{2S}{ap}[/tex] (small p)

or [tex]\frac{t2}{t1}[/tex] = [tex]\sqrt\frac{ae}{ap}[/tex] = [tex]\sqrt\frac{eE}{me} *\frac{mp}{eE}[/tex]

= [tex]\sqrt\frac{mp}{me}[/tex]

I’m gonna say everything that needs to go down as an exponent but down for example H20 but the 2 is small, also in order from top to bottom to fraction to fraction (small 2, 1, e, p, e, p, (after equal sign) p, e).

Hope this helped and brainliest pls

A particle is in its state of uniform circular motion. prove that its projection along one of its diameter executes simple harmonic motion.

Answers

The displacement of the projection along the diameter from the Center of the circle is given by :-

x = R Cos wt, if x = R at t = 0

Uniform circular motion means that w is a constant.

Then v = dx/dt = Rw Sinwt

a = d²x/dt² = - Rw² Cos wt = -w² x

Hence its motion is a SHM

A student repeats a reaction several times to test the effects of various
changes on the reaction rate. The data table shows the results. How does
increasing the temperature of the system change thereaction rate?

A. Increasing the temperature decreases the reaction rate.
B. Increasing the temperature increases the reaction rate.
C. More information is needed to determine what happens to the reaction rate.
D. Increasing the temperature has no effect on the reaction rate.

Answers

Answer:

The correct answer is - C.  Increasing the concentration increases the reaction rate.

Explanation:

Answer:

B. Increasing the temperature increases the reaction rate.

Explanation:

The reaction time column displays how long the reaction ran for. If a reaction rate was fast then time taken for reaction to run would be slow right?

Therefore, original condition had reaction time of 10 second, but increaseing temperature lowered the time to 5 second, which must mean that reaction rate increased.

is it second or first law

Answers

Answer:

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration.

Explanation:

Above is an image of people waiting at the train station to get on the incoming train. As the train slows down to stop, is it accelerating? Why or why not?
The definition of acceleration states that an object accelerates when it______, ______, or changes.
what are the missing words?​

Answers

Explanation:

Acceleration is a vector quantity which is defined as the rate at which an object changes its velocity

Drag each label to the correct location on the image


Identify the particles and characteristics on this model of an atom

(Provide picture to explain more clearly)


A- Positively Charged

B- Electron

C- Proton

E- Neutron

D- Negatively Charged

Answers

Answer:

you cant really give any answers because i cant tell u were to drag

All nuclear reactions generate radioactive waste. Which answer correctly lists
nuclear reactions beginning with the cleanest reaction?
A. Radioactive decay, nuclear fusion, nuclear fission
B. Nuclear fission, nuclear fusion, radioactive decay
C. Nuclear fusion, nuclear fission, radioactive decay
D. Radioactive decay, nuclear fission, nuclear fusion

Answers

The answer would be A because

the only state of matter that is not a fluid is

Answers

Answer:

maybe the answer is solid state

A state of matter that is not a fluid is solid

A helium balloon has a pressure of 40 psi at 20°C. What will the pressure be at 40°C? Assume constant volume and mass.

Answers

Answer:

P V = N R T     ideal gas equation

P2 / P1 = T2 / T1       where the other variables are constant

P2 = (T2 / T1) * P1 = (313 / 293) * 40 psi = 42.7 psi

4) The specific heat of aluminum is 0.88 J/g °C. How much heat is released when a 10 g piece of aluminum foil is taken out of the oven and cools from 100° to 50°?
4.40 J
568 J
440 J​

Answers

Answer:

See below

Explanation:

The units of the specific heat hint at how to solve these types of problems

.88 J/(g-C)   * 10 g  *  (100- 50 C) = 440 J  

                                  ( see how the g and the C 'cancel out' ?)

Why is impulse and momentum important in sports like cricket??

Answers

IMPULSE AND MOMENTUM

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

[tex] \large \sf \underline{Question:}[/tex]

Why is impulse and momentum important in sports like cricket??

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

[tex] \large \sf \underline{Answer:}[/tex]

Impulse and momentum are important in sports like cricket because from the word "momentum" it describe itself like you're getting used of it or you know what to do like there's no stopping you.

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

How are impulse and momentum related?

brainly.com/question/2193212brainly.com/question/904448

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

A sound travelling through some unknown medium has a wavelength of 0.05m and a frequency of 118,820 Hz. What is the speed of the wave?

a. 5941 m/s
b. 1482 m/s
c. 343 m/s

Answers

Answer:

5941m/s

Explanation:

velocity equals frequency x lamdha

Sana loved swimming.She joined a new smimmimg club .When she looked at the floor of the pool to estimate its depth she found that it was shallow .But when she dived in the pool she found out that the pool was quiet deep.Write down the scientific reason for this situation?

Answers

Answer:

Refraction

Explanation:

When light passes from a rarer medium into a denser medium, it bends in the medium away from the normal. This creates the phenomenon of "apparent depth" as given in the question.

An object with a mass of 10 kg is
dropped at the same time as an object with a mass of 100 kg. Assuming both objects are in free fall, explain how they will fall in comparison to one another.

Answers

Answer:

See below

Explanation:

They will fall at the same speed .....they will stay together if we ignore air friction

What distance does the car travel in the 3 seconds?

Answers

What car? You have to be more specific, is their supposed to be a photo?

The magnitudes of the electric potential and of the electrostatic force depend on which factors? O
A. Mass and distance O
B. Distance and amount of charge O
C. Density and amount of charge O
D. Mass and amount of charge​

Answers

Answer:

Density and amount of charge O

What type of wave is illustrated below?

Longitudinal

Transverse

Surface wave

Seismic wave

Answers

Answer:

Longitudinal

Explanation:

I searched it up.


Explain uses of conductors with either high or low resistance.

Answers

Conductors with a low resistance are usually used in power lines to prevent as much transmission loss as possible, conductors with a high resistance (which is relative since you could basically say it’s a high resistance conductor is basically an insulator like rubber which is meant to protect people from touching things) is telephone lines which can be made out of cheaper metals since not much electricity is needed to transmit a signal

(100 POINTS AND BRAINLIEST)
1. What are the four groups of carbon compounds found in living things?

2. Classify each substance as either sugar, starch, protein, or nucleic acid.
a. the major compound that makes up the skin
b. glucose
c. the major compound in potatoes
d. DNA

3. What is the difference between saturated and unsaturated fat? Why are partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat?

Answers

1. carbohydrates, lipids, proteins, and nucleic acids.

2. a is protein b is sugar c is starch and d is nuclear acid

3. What is the difference between saturated and unsaturated fat? it's that Saturated fats have the maximum number of hydrogens possible, while unsaturated fats have a double bond between two of the carbons. part 2. Why are partially hydrogenated fats useful for making potato chips but not particularly healthy for humans to eat? I was not able to find a different answer for it than part 1.

A projectile is shot at initial speed v0 = 8.94 m/s with angle theta = 26.5 degree as shown. It reaches the distance x = 24 m.

Find height h of the cliff, your answer should be positive.

Answers

A projectile is shot with the initial speed, it follows the motion called projectile motion. The height of the cliff is 44.91 m.

What is initial speed?

The speed at the start of the motion is the initial speed.

The horizontal distance is

x = v₀ sin θ. t

Substitute 26.5 for θ, 24 for x and 8.94 m/s for x, we get the time taken to complete the journey.

t = 24/ (8.94 cos26.5) = 3 s

Maximum height reached

H = v₀²sin²θ/2g

H = (8.94)² x sin²( 26.5) /(2 x 9.8)

H =0.8118 m

The height of the cliff is obtained by the equation of motion

0.8118 - h = -1/2 gt² +v₀sinθ.t

Substitute the values, we get

h =0.8118 +1/2x9.8x (3)²

h =44.911m

Thus, the height of the cliff is 44.91 m.

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What energy is produced by a 150 w lightbulb lit for 4.6 hours

Answers

W = Pt

W = 150 x (4.6 x 3600) = 2.484 x 10⁶ J

Light nulbs do not "produce" energy.

When YOU bring electrical energy from somewhere and pour it through the light bulb, the bulb turns some of it into light energy and the rest into heat energy .

(150 W) x (4.6 hr) =690 watt-hrs

or 0.69

A sound wave travelling through water has a wavelength of 0.08m and a frequency of 18525 HZ. What is the speed of the wave?

a. 343 m/s
b. 1482 m/s
c. 5941 m/s

Answers

Answer:

1482m/s

Explanation:

velocity equals frequency x lamdha

if i wanted the laser to refract less as it exits the prism, i would

Answers

If you wanted the laser to refract less as it exits the prism, you should increase the wavelength of the light.

What is refraction?

Refraction can be defined as a phenomenon which describes a change (bend) in the path taken by light when it's at surfaces between different transparent materials.

According to the model of light wave, the refraction of light is inversely proportional to its wave. Thus, you should increase the wavelength of light, if you want the laser to refract less as it exits the prism.

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A 0.03 kg baby sea turtle moves across the sand toward the ocean at 0.3 m/s. What is her kinetic energy in Joules?

Answers

Answer:

.00135 j

Explanation:

K.E. = 1/2   m  v^2

       = 1/2 * .03 * .3^2 = .00135 j

How to calculate magnitude of tension if given an angle of 10°

Answers

Answer:

Mag isip ka po wag Kang tanong ng tanong kac kami po Yung nahihirapan mag hanap ng answer

An increase in voltage results in

Answers

If the current is held constant, an increase in voltage will result in an increase in resistance.

hope it helps...!!!

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