A particular planet has a moment of inertia of 8.26 × 10^(36) kg⋅m^2 and a mass of 6.54 × 10^22 kg. Based on these values, what is the planet's radius? Hint: Because planets are the shape of a sphere, the moment of inertia is I = (2/5)mr^2.

Answers

Answer 1

Answer: 1.776933x10^7

Explanation:

Moment of inertia I = 8.26x10^36kgm^2

Mass of planet m = 6.54x10^22kg

Also, Planet is solid sphere so that, Moment of inertia is I = _2_ m

R^2= 0.4 R^2                                                                               5

Where R is radius of planet

Putting into calculation

We get,

I = _2_  m R^2

       5

8.26x10^36 = 0.4x6.54x10^22xR^2

8.26x10^14 = 2.616 R^2

R = 1.776933x10^7

                                                                                                     

Answer 2

The radius of the planet which has a mass of 6.54× 10²² kg and inertia of  8.26 × 10³⁶ kg/m² is 1.776933 × 10⁷.

What is Moment of Inertia?

Moment of inertia is a quantitative measure of the rotational inertia of a body. It is the opposition which the body exhibits to having its speed of rotation about an axis altered by the application of a torque.

Moment of inertia I = 8.26 × 10³⁶ kg

Mass of planet m = 6.54× 10²² kg

Also, Planet is solid sphere so that, Moment of inertia is I = 2/5 m R² = 0.4 mR²

where, R is radius of planet

Putting into calculation

We get,

I = 2/5 m R²

8.26 × 10³⁶ =  0.4 × 6.54 × 10²² × R²

8.26 × 10¹⁴ = 2.616 R²

3.15749235 × 10¹⁴ = R²

R = 1.776933 × 10⁷

Thus, the radius of the planet is 1.776933 × 10⁷.

Learn more about Moment of Inertia here:

https://brainly.com/question/15246709

#SPJ2


Related Questions

Besides air pollution, the student was concerns about water/ocean pollution. They heard many recent issues of too much plastic in the ocean and other pollutants in the water. The pie chart below provides data on the sources and amounts of different pollutants entering the oceans.
first picture

The student read a news article that discussed the increase in amount of pollutants entering oceans and washing up on shores. The article included this image.
second picture


pick the answer

The greatest reduction in pollutants entering the ocean could be achieved if it were possible to reduce farm runoff/transportation/air pollutants/sewage/litter/ orindustry waste.




Answers

Answer:

Sewage

Explanation:

It has the greatest percentage out of the pie chart.

what is the mass of mr. thomson’s prius if his kinetic energy is 641300 J when he is driving at a velocity of 22 meters per second on the highway? please show work

Answers

Answer:

Mass, m = 2650 kg

Explanation:

We have,

Kinetic energy of  Mr. Thomson’s prius is 641300 J

He is moving with a velocity of 22 m/s

It is required to find the mass of Mr. Thomson’s prius.

Kinetic energy,

[tex]K=\dfrac{1}{2}mv^2[/tex]

Plugging all the values, we get :

[tex]m=\dfrac{2K}{v^2}\\\\m=\dfrac{2\times 641300}{(22)^2}\\\\m=2650\ kg[/tex]

So, the mass of Mr. Thomson’s prius is 2650 kg.

suppose that two point charges, each with a charge of +1.00 C, are separated by a distance of 1.0m, will the chargers attract or repel?

Answers

Answer:

They would repel because they are opposites

Explanation:

The two point charges will repel each other with a force of 9×10⁹N because they both have the same nature of the charge.

Electrostatic force:

Given two point charges with a charge of +1.00 C. Separated by a distance of 1 m.

So, q₁ = q₂ = 1C and distance r = 1m

Since the charges are alike, that is both of them are positive charges, they will repel each other with an electrostatic force given by:

F = kq₁q₂/r²

where k is Coulomb's constant.

F = 9×10⁹×1²/1²

F = 9×10⁹N

Learn more about electrostatic force:

https://brainly.com/question/12627820?referrer=searchResults

Help||| When a stringed instrument is out of tune, the player with tighten or loosen the string. If the instrument is initially flat, should they tighten or loosen the string? In the context of this experiment, explain your reasoning.

Answers

Answer:

So if its regular, you would always tighten it. Here's the reasoning:

"When you lower the pitch by releasing tension, there might be slack in the gears in the tuning machines, which might make the string go below the intended pitch. By going further down and approaching the target note from below, there will be force applied to the gears and when you've reached the correct pitch the gears have less potential to move. So your teacher is correct."

Therefore the answer is Tightening

Answer: So if its regular, you would always tighten it. Here's the reasoning: "When you lower the pitch by releasing tension, there might be slack in the gears in the tuning machines, which might make the string go below the intended pitch.

Explanation:

   "When you lower the pitch by releasing tension, there might be slack in the gears in the tuning machines, which might make the string go below the intended pitch. By going further down and approaching the target note from below, there will be force applied to the gears and when you've reached the correct pitch the gears have less potential to move. So your teacher is correct."

Which of the following is the most effective relaxation technique?
A.
It varies from person to person.
B.
Deep breathing
C.
Eating right
D.
Exercising

Answers

Answer:

A

Explanation:

It varies from person to person.

Answer:

A.

It varies from person to person.

Explanation:

i just look the test


If 400j of work is done on an object in 8 seconds, how much power does the object experience?

50w

45W

60W

408

Answers

Answer:

50w

Explanation:

Power is equal to Energy divided by Time

∆E/t

Answer:

50 W

Explanation:

Power can be found using the following formula.

p=w/t

where w is work and t is time.

400 Joules of work is done on the object in 8 seconds. Therefore,

w= 400 J

t= 8 s

Substitute these values into the formula.

p=400 J/ 8 s

Divide 400 by 8

p=50 J/s

Add appropriate units. In this case, power uses Watts, or W. (1 Joule per second, or J/s is equal to 1 Watt, or W)

p= 50 W

The object experiences 50 Watts of power

What is the connection between the force it take to move an object of different masses?

Answers

Answer:

Gravity affects weight, it does not affect mass. MASSES ALWAYS REMAIN THE SAME. Newton's Second Law of Motion: Force = mass x acceleration The acceleration of an object is: a) directly proportional to the net force acting on the object

hope this helps u stay safe

Explanation:

A frictionless roller coaster (22kg) is at a height h traveling with a speed v0 = 10m / s. Assume that h = 20m. The speed of the car at point B is:

Answers

Answer:

3 g

Explanation:

Michael is the captain of his school's soccer team. What skill does Michael exhibit when he decides which player will take the penalty kick?
A.
conflict resolution
B.
sportsmanship
OC.
leadership
D.
teamwork

Answers

The answer is Leadership
C because he is taking the role of the leader to make his decision

Both mechanical and electromagnetic waves

Answers

Answer:

transmit energy

Explanation:

hope this helps u stay safe

An object has a forward force of 100N and a reverse force of 25N. What is the resultant force?

Answers

Given:

An object has a forward force = 100N

An object has a reverse force = 25N

To find out:

What is the resultant force?

Solution:

Resultant Force = Forward force + Reserve force

= 100 N + ( - 25 N )

= 75 N

Answer:

75 N

Explanation:

The resultant force can be found using the following formula:

F=forward force + reverse force.

The forward force is 100 N.

The reverse force is 25 N. Since it is a reverse force, it is actually equal to -25 N.

forward force=100 N

reverse force= -25 N

Substitute these values into the formula

F=100 N + -25 N

Add 100 and -25

F= 75 N

The resultant force is 75 Newtons.

PLEASE HELP !!

what is the mass of mr. thomson’s prius if his kinetic energy is 641300 J when he is driving at a velocity of 22 meters per second on the highway? please show work

Answers

Explanation:

It is given that

The kinetic energy of  Mr. Thomson’s prius, K = 641300 J

He is moving with a velocity, v = 22 m/s

It is required to find the mass of Mr. Thomson’s prius.

Due to his motion, a kinetic energy will possess by him. The mathematical form of kinetic energy is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Solving for m

[tex]m=\dfrac{2K}{v^2}[/tex]

Plugging all the values, we get :

[tex]m=\dfrac{2K}{v^2}\\\\m=\dfrac{2\times 641300}{(22)^2}\\\\m=2650\ kg[/tex]

So, the mass of Mr. Thomson’s prius is 2650 kg.

Farah is doing an experiment that involves calculating the speed of a longitudinal wave. What will most likely happen if she increases the temperature in the room?

The amplitude of the wave will increase.
The amplitude of the wave will decrease.
The speed of the wave will increase.
The speed of the wave will decrease.

Answers

Answer:

Explanation:

it will result in rise in frequency of the wave ...

so speed of the wave will increase...

If Farah increases the temperature in the room during the experiment, C. the speed of the wave will increase.

What is a longitudinal wave?

A longitudinal wave is the opposite of a transverse wave and it can be defined as a type of wave that usually travel in the same direction of its oscillation.

Generally, there is a direct (linear) relationship between the speed of the wave and temperature.

This ultimately implies that, if Farah increases the temperature in the room during the experiment, the speed of the wave will increase due to an increase in its frequency.

Read more on wave here: https://brainly.com/question/19250621

#SPJ2

help me ASAP plzzzzzzzz!!!!!!​

Answers

Answer:

A long handle

Explanation:

A spanner is basically a wrench, you would also want to use a long handled wrench in order to have more mechanical advantage and be able to apply more torque. This can be proven as well using a simple physics formula:

[tex]t = fd[/tex]

where the variables are:

t = torque

f = applied force

d = perpendicular distance from fulcrum to where the force is applied

It is clear that keeping the applied force constant, if you enlarge the perpendicular distance, d, you will be able to apply more torque and therefore have an easier time releasing this nut.

A net force of 400 Newtons acts on a 50kg mass. What is its acceleration?
A 450 m/s/s
B 8 m/s/s
C20,000 m/s/s
D 350 m/s/s
E.125 m/s/s

Answers

Explanation:

Formula = F = ma

Where f is force m is mass and a is acceleration

400 = 50a

400/50 = a

8

Option B is the correct answer

Answer:

the answer is B

Explanation: because, force=mass x acceleration, which acceleration=force : mass.

So, acceleration= 400 : 50=8m/s/s :D

NEED HELP ASAP!!!!!!!!!!!!!
Which of the following is NOT a side effect of smoking:
Decreased ability to use oxygen
Decreased lung function
Decreased risk of heart attack
Increased asthmatic symptoms

Answers

Answer: Decreased risk of heart attack

Explanation:

thats the answer because it actually

increase rish of heart attack

Hope this helps :)

Answer:

the answer is C. It wont decrease your probability of a heart attack it will increase it

Explanation:



The Theory of General Relativity, proposed by Albert Einstein, has given scientists a way to

understand

_ as it relates to bodies in motion.

(1 point)

matter

entropy

gravity

energy

Answers

A way to understand Gravity

The wings of a honeybee move at a frequency of 220 Hz. What is the period for a complete wing-beat cycle?

Answers

Answer:

0.0045 s

Explanation:

Period = 1 / frequency

T = 1 / (220 Hz)

T = 0.0045 s

If you sit close to a campfire, the fire warms you. Describe how thermal energy is transferred from the fire to you.

Answers

Answer:

Explanation:

When you sit by a campfire, most of the heat you are receiving from the fire does not come from hot air. ... This radiation carries energy which is converted to heat when it hits another object and is absorbed. In contrast, conduction involves the direct movement of heat through an object.

Answer:

When you sit by a campfire, most of the heat you are receiving from the fire does not come from hot air. ... This radiation carries energy which is converted to heat when it hits another object and is absorbed. In contrast, conduction involves the direct movement of heat through an object.

Explanation:

hope this helps u stay safe

The slope of a velocity versus time graph gives

Answers

Explanation:

Average of acceleration

Which of the following can cause the substance to change phase? Select all that apply
mchange in temperature
u change in mass
change of shape
I change in pressure
NEXT QUESTION
ASK FOR HELP

Answers

Answer:

change in temperature

Explanation:

just like a rock, if it is put in different temperatures, the different substance you get.

//Have A Great Day//

GIVING BRAINIEST TO CORRECT ANSWER
If you sit close to a campfire, the fire warms you. Describe how thermal energy is transferred from the fire to you.

Answers

Answer:

Explanation:

When you sit by a campfire, most of the heat you are receiving from the fire does not come from hot air. ... This radiation carries energy which is converted to heat when it hits another object and is absorbed. In contrast, conduction involves the direct movement of heat through an object.

Does an apple, potato, and onion all taste the same if you eat them with your nose plugged?

A.) Yes

B.) No

Answers

Answer: A yes

Explanation:

Answer:

A) Yes

Explanation:

Majority of what we perceive as "taste" is actually due to our sense of smell.

If we remove the contribution of smell by plugging your nose, many people have reported that apples, potatoes and onions indeed do "taste" the same.

R1 -4.00
M
- V = 12.0 V
Т.
1. Using Ohm's Law, Calculate the current / flowing
through the circuit in Figure 1.
Show all work.

Answers

Answer: V = 12.0 V

Explanation:

The electromagnetic waves with the most energy have the greatest
period
b) wavelength
c)
frequency
d) color

Answers

Answer: c) frequency

Frequency is the amount of times the particle moves back and forth per second, more or less. The more energy, the higher the frequency. At the same time, the more energy means you'll have a shorter wavelength (aka period). Color only applies to the visible spectrum.

Answer:

frequency

Explanation: The greater the number of waves appear the greater the energy. The smaller the number of waves appear the lower the energy.

Frequency is the number of times waves appear.


As an object falls to the ground, what happens to its energy? Ignore air resistance in this scenario.


A)energy is converted from gravitational potential energy to kinetic energy.

B)energy is converted from kinetic energy to
gravitational potential energy.

C)energy is in motion the whole time.

D)energy gets destroyed due to friction

Answers

Answer:

the answer is a

Explanation:

due to it being high and kenetic is in motion

When the object falls to the ground so the option A should be considered for energy.

Impact on energy:

In the case when the object falls to the ground, so here the energy should be transformed from the gravitational potential energy to the kinetic energy as both are considered since the objects fallen into the ground.

Learn more about the energy here: https://brainly.com/question/19119593

Which question could be answered using the scientific method?

Why does my dog like to sit on the sofa?
Would Mars be a fun place to live?
Are butterflies happy?
Do vitamins help people stay healthy?

Answers

Answer:The vitamins one.

Explanation:

Answer:

d. do vitamins help people stay healthy

Explanation:

flvs

ILL GIVE BRAINLIEST!! URGENT PLEASE HELP
Red light has the wavelength of 6.55 X 10 ^-7m. What is its frequency in hertz.

1. 4.58 hz
2. 4.58x10^14hz
3.21.8 hz
4. 2.18x^10-15 hz

Answers

I believe the answer is the second one.

hi:) anyone able to explain why it’s easier to lift something on moon compared to earth? thanks:)

Answers

Because the moon has much less mass than the Earth has.  This makes the gravitational forces between the moon and any object much less than the forces between the Earth and the same object, when the object is the same distance from the center of the moon or the Earth.

To talk about an actual number, we usually talk about being on the surface of the Earth or the moon:

A person or object on the surface of the moon weighs about 17% as much as he/it weighs on the surface of Earth. That's about one-sixth as much.  So naturally, it's easier to lift something on the moon than it is to lift the same thing on Earth, because when it's on Earth, it's about six times as heavy.

pls help quickly average velocity = u+v/2 or displacement/ total time taken

Answers

Answer: Average velocity = u+v/2

Explanation: The definition of velocity is displacement over time taken. That is,

Velocity = displacement/ time taken

But we have initial velocity U and final velocity V. When we are talking about average, we are talking about the mean value of the given parameters.

Therefore, average velocity will be addition of initial velocity and final velocity divided by 2. That is,

Average velocity = (U + V)/2

Other Questions
HURRY PLZZ!!The US government provides all of the following services EXCEPT ____________? Group of answer choices A.the postal service B.the national defense C.a satellite radio D.interstate highways What happens when the government lowers taxes? Group of answer choices A.Producers have less money to spend. B.Trade wars develop. C.Consumers have more money to spend. D.International trade decreases. how did the scientific revolution contribute to the enlighment in europe during the 17th and 18th centuries what is the next term in the arithmetic sequence? 9,17,25,33,... What are two foods that have saturated fat and two thathave unsaturated fat? MN is the midsegment of the trapezoid ABCD. What is the length of segment AB?A.8B.9C.10D.14 find the nth term of this sequences20,18,16,14 Vintage Audio Inc. manufactures audio speakers. Each speaker requires $127 per unit of direct materials. The speaker manufacturing assembly cell includes the following estimated costs for the period:Speaker assembly cell, estimated costs:Labor$45,050Depreciation6,040Supplies2,200Power1,655Total cell costs for the period$54,945The operating plan calls for 185 operating hours for the period. Each speaker requires 20 minutes of cell process time. The unit selling price for each speaker is $344. During the period, the following transactions occurred:Purchased materials to produce 530 speaker units.Applied conversion costs to production of 505 speaker units.Completed and transferred 480 speaker units to finished goods.Sold 460 speaker units.There were no inventories at the beginning of the period.a. Journalize the summary transactions (1)-(4) for the period. Do not round interim calculations.1.2.3.4. Sale4. Costb. Determine the ending balance of raw and in process inventory and finished goods inventory.Raw and In Process Inventory, ending balance$Finished Goods Inventory, ending balance$ what dose x equal 4x + 4 = -7 +2x +19 A current cannot produce a magnetic field. * True or false Please complete this very easy attachment!Answer with an interger! Determine whether the system of linear equations has one solution infinitely many solutions or no solution explain your reasoning. y=3x+5 and y=3x-5 _________14. In photorespiration, carbondioxide is produced in the _________ when glycine is converted to serine.A. Peroxisome B. Lysosome C. Mitochondria D. Chloroplast Contribution of Technology in Education Essay 350 words What is the meaning of this passage? Check all that apply. The Colonies remain a servant to Great Britain. The Colonies have all the power of any other independent nation. The Colonies are not free or independent. The Colonies would like to be allies with the British in the future. The Colonies are declaring independence. Too Tall Tower has office space below the 57th floor and condominiums above. Too Tall Tower is an example of a W9-Try It 1: Incorporation/FederalismPOSSIBLE POINTOf the amendments incorporated by the Supreme Court, which two amendments have yet to be incorporated?2nd and 9th2nd and 3rd3rd and 7th7th and 9th Is this a scientific model? Use complete sentences to explain why or why not. PLEASE HELP plssss In addition to the heart, what other mechanism helps to circulate blood? What does Benvolio suggest Romeo should do? Why? this is in act 3 You are assisting a physician with a minor office procedure when you accidentally drop a sterile instrument on the floor. What do you do and why?