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?
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.
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;
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Can you give
an
example of a physical quantity
which cannot be measured?
Answer:
Feeling's.
Explanation:
Nobody can measure the feeling of a person or love , etc
There is friction between the block and the
table.
The suspended 2 kg mass on the left is
moving up, the 4 kg mass slides to the right
on the table, and the suspended mass 4 kg on
the right is moving down.
The acceleration of gravity is 9.8 m/s
2
.What is the magnitude of the acceleration
of the system?
1. 1.67253
2. 1.9845
3. 1.75311
4. 2.47673
5. 2.1315
6. 2.058
7. 2.548
8. 1.33933
9. 1.5288
10. 2.03127
Answer in units of m/s
2
.
Answer:
5 no
Explanation:
actually the 4kg lying on table has no influence
it slides towards 4kg weight hung
as it has excess 2kg force
force=miu × m ×g
The magnitude of acceleration of the entire system is [tex]2.1315 \;\rm m/s^{2}[/tex]. Hence, option (5) is correct.
Given data:
The masses suspended from the table are, m = 2 kg and m' = 4 kg.
And the mass kept on the table is, m'' = 4 kg.
The frictional force will oppose the motion of mass 4 kg, kept on the table. Then the required value of frictional force is,
[tex]f = \mu \times m'' \times g\\\\f = 0.11 \times 4 \times 9.8\\\\f = 4.312 \;\rm N[/tex]
Since, the mass kept on the right side is more. Then at equilibrium,
-f + m''g + (m' +m)a = m'g
Here,
a is the magnitude of acceleration of the system.
Solving as,
-4.312+ 4(9.8) + (4 -2)a = 4(9.8)
2a = 4.312
[tex]a \approx 2.1315 \;\rm m/s^{2}[/tex]
Thus, we can conclude that the magnitude of acceleration of the entire system is [tex]2.1315 \;\rm m/s^{2}[/tex]. Hence, option (5) is correct.
Learn more about the linear acceleration here:
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A rocket has a mass of 142 kg. If you want to give it an acceleration of 7 m/s2 how much force does the engine need to apply
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 142 × 7
We have the final answer as
994 NHace this helps you
I have to write something here, so like hello and please help
Answer:
the extension would be less the new extension might be 3 cm
Explanation:
If a car manufacturer reduced the mass of a new car model, so that it took a force of 4000 N
to accelerate towards the barrier at 4 m/s2, what would be the mass of
the new car?
Answer:
1000 kg
Explanation:
Force = mass x acceleration, Hence, mass = Force/acceleration
mass = 4000/4 = 1000 kg
which is more important while hitting a home run a heavier bat or faster swing? why?
Answer:
Explanation:
the hitting should be in the almost top so the more faster and strong u hit more the ball more at top will go and more far will go
A box is pushed horizontally with constant speed across a rough horizontal surface.
Which of the following must be true?
Answer:
what is the answers? so i can't answer.
Explanation:
The statement that is true as regards movement of the box when pushed horizontally with constant velocity is given by;
Option D; The friction is equal to the applied force
The missing options are;
a) The friction is less than the applied force
b) There is no friction acting on the box
c) The friction is greater than the applied force
d) The friction is equal to the applied force
We are told that the box is pushed with constant speed. We know that at constant speed, acceleration is equal to zero. If acceleration is zero, the 2 forces acting on the box will be the applied force and the frictional force from the rough horizontal surface.
Now, if the frictional force was less than the applied force, it means the velocity of the box will gradually be increasing but we are told the velocity is constant.
Also, if the frictional force is more than the applied force, it means the object will not move because the force of resistance is more than the applied force.Finally, if the frictional force is equal to the applied force, then the box will move with a constant motion.
Thus, in conclusion the friction is equal to the applied force.
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The number of wavelengths that pass a point each per second is:
A. transverse wave
B. period
C. longitudinal
D. frequency
Pls can you help me
Explanation:
d frequency I learned it last year
The number of wavelengths that pass a point each second is referred to as the frequency of a wave. The correct option is D.
What is the frequency?Frequency is defined as the number of cycles (or wavelengths) that pass a point in one second and is measured in units of Hertz (Hz). For example, if a wave has a frequency of 10 Hz, it means that 10 complete cycles (or 10 wavelengths) pass a point in one second.
A transverse wave is a type of wave where the particles of the medium move perpendicular to the direction of the wave motion. Examples of transverse waves include light waves and electromagnetic waves.
Period refers to the time it takes for one complete cycle of a wave to occur. It is measured in units of seconds (s) and is the reciprocal of the frequency. So, period and frequency are inversely proportional to each other.
A longitudinal wave is a type of wave where the particles of the medium move parallel to the direction of the wave motion. Examples of longitudinal waves include sound waves and seismic waves.
So, the number of wavelengths that pass a point each second is known as the frequency of a wave and is measured in units of Hertz (Hz).
Therefore, the correct answer is D. frequency.
To learn about the relationship between wave energy and amplitude click:
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#SPJ3
Where do you think most of the water
will go?
split the same
though the path of little rocks
though the path of big rocka
What is an electron?
Answer:
A stable subatomic particle with a charge of negative electricity, found in all atoms and acting as the primary carrier of electricity in solids.
Explanation:
In more simple terms, an electron is a negatively charged subatomic particle.
Hope that helps :)
Answer:
An electron is a particle with negative charge that can be found in the atom, along with neutrons and protons
If it takes 100 N to move a box 5 meters, what is the work done on the box?
A. 20 J
B. 5,000 J
C. 5 J
D. 500 J
Answer: D. 500 J
=========================================================
Explanation:
To find the amount of work done, we multiply the force by displacement
work = force*displacement
work = (100 N)*(5 m)
work = (100*5) Nm
work = 500 J
In this case, "Nm" refers to "Newton meters" and not "nanometers"
1 newton meter is equal to 1 joule
What is an amu?
lol I'm asking alot of questions
when climbing a steep hill, would you want a larger or smaller bicycle gear?
Answer:
Usually when climbing, it's best to be in the small front ring and the largest back ring. If your cadence is about 100 rpm, then whatever gear you're in is fine. It depends on the road, but as long as your pedaling is at a level you're comfortable with, you're fine.
Explanation:
Google answer by the way.
There is a ball at rest on a flat floor. What kind of equilibrium is it in? *
Stable Equilibrium
Unstable Equilibrium
Neutral Equlibirum
Not in Equilibrium
if you walk at an avaerage speed of 5 km/h for 30 min how far will you walk
Answer:
2.5 km/30min
Explanation:
Divide 5 by 2 because 30 min is half of 1 hour. when you do that you get 2.5
What determines the amount of thermal energy of an object?
Reena has rolled down her toy car through a ramp. When she increases the height of the ramp (10 cm ) the car has travelled 5 metres and she increases the height of the ramp (13 cm) the car has travelled 6 metres . What happened when she raises the height of the ramp?
Answer:
As she raises the height of the ramp, the speed of the toy car decreases.
Explanation:
Speed is the ratio of the distance traveled by an object to the time taken.
i.e speed = [tex]\frac{distance}{time}[/tex]
From the given question, it would be observed that:
i. when the height of the ramp was 10 cm, the car traveled 5 meters.
ii. when the height of the ramp was increased to 13 cm, the car traveled 6 meters.
Therefore, an increase in the height of the ramp causes a decrease in the speed of the toy car so that the distance traveled per unit time increases. Showing that there is an inverse relationship between the height of the ramp and the speed of the toy car.
please help lol
im also on my sisters acc btw
Marla made ice by freezing liquid water the freezerWhat did the freezer do to cause the change in the water?
Answer:
It slowed the kinetic energy of the water.
Explanation:
When you freeze something, the cold air slows down the kinetic energy of that object. There is no actual "cold" but there *is* a lack of heat, and this is proven in that example. Since temperature is a measure of how much kinetic energy an object has, the lack of kinetic energy would make the objects colder. Therefore, when you put a bottle of water into the freezer, by slowing the kinetic energy of the water, it freezes it!
Hope this helps <3
What is the specific heat of a substance that absorbs 2500 joules of heat when a sample of 100 g of the substance increases in temperature from 10 degrees Celsius to 70 degrees Celsius?
Answer:
I'm sorry to inform that I couldn't find an answer to this question. Socratic can help! This learning app, powered by Google AI, helps you understand your school work at a high school and university level. Ask Socratic a question and the app will find the best online resources for you to learn the concepts.
Explanation:
Identify the correct order of increasing intermolecular force of attraction for the three most common states of matter.
A)
Liquid - solid - gas
B)
solid - liquid - gas
gas - liquid - solid
D)
gas - solid - liquid
Answer:
The answer is C.
Explanation:
John has an object suspended in the air. It has a mass of 50 kilograms and is 50 meters above the ground. Calculate the objects potential energy.
Answer:
the objects potential energy is 24500 J.
hope this helps <3
Which of the following actions will increase the inertia of a shopping cart?
-Adding items to the cart
-
-Removing the wheels from the cart
O Rearranging items in the cart
Oiling the cart's wheels
Answer:
A. Adding items to the cart
Explanation:
Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.
In physics, Sir Isaac Newton's first law of motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.
The inertia of an object such as a shopping cart is greatly dependent or influenced by its mass; the higher quantity of matter in a shopping cart, the greater will be its tendency to continuously remain at rest.
Hence, adding items to the cart is an action which will increase the inertia of a shopping cart, by increasing its tendency to be at rest.
Adding items to the cart will increase the inertia of a shopping cart.
Inertia refers to the resistance that an object has to modify its velocity and/or direction during movement. Inertia not only includes the speed of the object but also the direction of its movement.Inertia also can be described as the inherent tendency of a given object to resist changes in its state of movement (motion).In conclusion, adding items to the cart will increase the inertia of a shopping cart.
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Which of the following is a FALSE statement? (A) Heat moves through solids by conduction (B) Molecules move faster in warmer substances (C) Warm water is denser than cold water (D) Heat moves through liquids and gases by convection
Answer:
C.
Explanation:
1. Three vehicles are traveling at the same speed in the same direction on a 1 point
highway, as shown in the diagram below. If the position of the front of the
white van is -21 m, what is the point of reference?
9514 1404 393
Answer:
The front of the black car
Explanation:
The position -21 is shown on the diagram at the front of the white van. The reference point is the position 0, which is shown on the diagram as the front of the black car.
Answer:
Explanation:
I'm answering this just so you can give the Brainliest to Squaredancefan, a master answerer in my opinion.
The reference point is where the 0 is. Everything to the right is positive and everything left of 0 is minus. 0 is the reference point because it is neither.
A 200 N net force acts on a 50 kg box. What is the acceleration of the box?
Answer:
a= 4m/s^2
Explanation:
Fnet =200N
m=50kg
a=?
Fnet = ma
200=50a then divide both sides by 50 to get acceleration
Taking into account the Newton's second law, the acceleration of the box is 4 [tex]\frac{m}{s^{2} }[/tex].
In first place, you have to know that Newton's second law, called the fundamental law or fundamental principle of dynamics, states that a body accelerates if a force is applied to it.
Then, the amount of force necessary is proportional to the acceleration that the body acquires, and the constant of proportionality is the mass of the body.
Mathematically, Newton's second law is:
F= m×a
where:
F = Force [N] m = Mass [kg] a = Acceleration [m/s²]In this case, you know:
F= 200 N m= 50 kg a= ?Replacing in the Newton's second law:
200 N= 50 kg×a
Solving:
a=200 N÷ 50 kg
a= 4 [tex]\frac{m}{s^{2} }[/tex]
In summary, the acceleration of the box is 4 [tex]\frac{m}{s^{2} }[/tex].
Learn more about the Newton's second law:
brainly.com/question/23845187?referrer=searchResults brainly.com/question/13959891?referrer=searchResultsfill in the word that completes the statement. the direction of the magnetic field produced by an electric current will change when the direction of the _____ changes
Answer:
current trust me thoo pls
Answer:
Current
Explanation:
Right on edge ✅
I have a really long assignment I don't understand! please help
I can try and help whats it about?
The ___________________ ______________ (two words) is the least dense layer of the Earth.
Answer:
lithosphere
Explanation:
the least densest layer is the outer most layer
the densest layer is the inner most layer and the inner most layer is the inner core
Answer:
lithosphere
Explanation:
i took the test and i got it right