A satellite is in elliptical orbit with a period of 8.00 x l-0a s about a planet of mass 7.00 x t024 kg. At aphelion, at radius 4.5 x 1-07 m, the satellite's angular speed is 7.L58 x 10-s rad/s. What is its angular speed at perihelion

Answers

Answer 1

Given that the satelite's angular speed is given,The angular speed at the perihelion is : 9.2426 * 10⁻⁵ rad/s

Given data:

Satellite period = 8 * 10⁴ s

mass of planet (Wa)  = 7 * 10²⁴ kg

Radius of Aphelion ( Ra ) = 4.5 * 10⁷ m

satellite angular speed ( Vp )= 7.158 * 10⁻⁵ rad/s

Determine the angular speed at the perihelion

Applying kepler's law

VpRp = VaRa

where:

Vp = ( Ra / Rp ) Va

and

Wp = Vp / Rp  = ( RA / Rp )² Wa  ---- ( 1 )

Note : Assuming a is distance from the center oto the end of the satelite

Rp = 2a - Ra  ---- ( 2 )

Next step : determine the value of a

applying the formula below

a = [tex](\frac{T\sqrt{Gmplanet} }{2\pi } )^{2/3}[/tex] --- ( 3 )

where ; T = 8 * 10⁴ s,  G = 6.67 * 10⁻¹¹ ,  Mplanet = 7 * 10²⁴ kg

input values into ( 3 )

a = 42300747.03 m

Final step : determine the angula speed at perihelion

Back to equation ( 1 ) and ( 2 )

Wp = ( RA / 2a - Ra  )² Wa  

      = 9.2426 * 10⁻⁵ rad/s.

Hence we can conclude that Given that the satelite's angular speed is given,The angular speed at the perihelion is : 9.2426 * 10⁻⁵ rad/s

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Related Questions

An object initially at rest on a horizontal surface is set into motion by the application of a force. Does the force of friction between the object and the surface decrease, increase, or remain the same immediately after the object starts to move?

Answers

Answer:

C always

Explanation:

The force of friction between the object and the surface decrease immediately after the object starts to move.

What is friction?

The force preventing solid surfaces, fluid layers, and material components from sliding past one another is known as friction.

The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

The resistance that is formed between any two items when they are sliding against one another is known as sliding friction.

It is experimentally proved that the force of friction between the object and the surface decrease, immediately after the object starts to move.

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What are dogs trained to do when they find an explosive device?.

Answers

Answer:

They sit or lay quietly

Explanation:

That's what they are trained to do when they find a explosive device

Continuous signals are characterized as . signals that are broken up into binary code are characterized as . an am/fm radio is a good example of technology. a smart phone is a good example of technology.

Answers

Continuous signals are characterized as analog signals that are broken up into binary code are characterized as digital.

An am/fm radio is a good example of analog technology. A smart phone is a good example of digital technology.

What is a Digital technology?

These are devices that generate, store or process data while analog is a continuous signal that represents physical measurements.

The examples of analog and digital technology are mentioned above and is the most appropriate choice.

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Answer:

Analog, Digital, Analog, Digital

Explanation:

edge 2022

An object is thrown straight upward from the edge of a building with a velocity of 20m/s. Where will the object be 5s after it was thrown

Answers

Explanation:

V = S/t

s =vt

d = 20 x 5

d = 100m

The position of the ball 5 seconds after it was thrown will be 25 m below the edge of building.

What are the three equations of motion?

The three equations of motion are -

v = u + at

S = ut + 1/2at²

v² - u² = 2aS

Given is an object which is thrown straight upward from the edge of a building with a velocity of 20m/s.

Initial velocity [u] = 20 m/s

Acceleration due to gravity [g] = - 10 m/s² (Rounded off 9.8)

At maximum height, the velocity will be 0.

Assume that the time at which the ball reaches max height be T.

Using first law of motion -

v = u + aT

0 = 20 - gT

gT = 20

T = 20/g

T = 20/10

T = 2 sec

Then -

S[max] = 20 x 2 - 0.5 x 10 x 4

S[max] = 40 - 20 = 20 m

At t = 2 sec the ball will be at maximum height. Now at maximum height, the initial velocity of the ball will be 0.

We have to find the position of ball after 3 seconds as after 2 seconds it was at maximum height.

In this case initial velocity will be [u] = 0

Acceleration [a] = 10 m/s²

Time [t] = 3 sec

Using second equation of motion -

S = ut + 1/2at²

S = 0.5 x 10 x 9

S = 45 m

Position of object = [x] = 20 - 45 = - 25 m

The negative sign indicates that the object is now 25 cm below from the edge of building.

Therefore, the position of the ball 5 seconds after it was thrown will be 25 m below the edge of building.

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The students changed the release distance of the sphere during their investigation. Which statements best describe the purpose for increasing the release distance between the trials? Select all that apply.

A. to indicate balanced forces are acting on the spheres

B. to determine the types of forces acting on the spheres

C. to measure the strength of the force acting on the spheres

D. to change the direction of the force acting on the spheres

E. to observe the effect of unbalanced forces acting on the spheres

Answers

Since unbalanced forces acts on the spheres, the aim of increasing the release distance of the spheres is to observe the effect of unbalanced forces acting on the spheres.

What is an experiment?

An experiment is a study whose objective is to study cause and effect relationships. In this case, the students had to increase the distance at which the spheres was released.

The aim of increasing the release distance of the spheres is to observe the effect of unbalanced forces acting on the spheres.

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Which of the following limiting factors would be directly affected by a drought? a. birth/death rate b. immigration c. available niche d. resource supply Please select the best answer from the choices provided A B C D

Answers

Answer:

C. answer pa brailest need lang po please

D. Resource Supply this would be directly affected first then the rest would follow after a period of time.

Hello people ~

If a +ve charge is moved from low to high
potential region, the electric potential energy:

(a) decreases

(b) increases

(c) remain the same

(d) may increase or decrease

Answers

Answer:

The answer is increases.

Explanation:

When positive charge is shifted from a low potential to a high potential region, the electric potential energy increases.

Explanation:

Electric potential energy directly depends upon potential region

Charge always flows from higher density to lower density in case of negative and for positive charge it's vice versa

Hence correct choice is option B

Ayo? i need help asap
Let's do some calculation! Using the information below, calculate the speed of the wave. MAKE SURE TO INCLUDE YOUR UNITS!

wavelength = 2.3 cm and frequency = 3.7 Hz

Answers

Wavelength should be in meters which is 0.023 m

c = 3.7 * 0.023 = 0.0851 (3 sf)

describe the ways that people are trying to use technology to protect the environment and increase sustainability.

WILL NAME BRAINLIEST please help

Answers

Answer:

One way people are using technology to protect the environment is:

Using digital devices for communicating and storing information means that there is less reliance on paper, which reduces deforestation. Since trees are an important source of oxygen and also absorb carbon dioxide, this further reduces climate change.

Environmental technology has enabled us to capture this naturally occurring energy and convert it into electricity or useful heat through devices such as solar panels, wind, and water turbines.



Explanation:

Have a great of your day
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Is it possible for a person to have zero mechanical energy? Why or why not?​

Answers

Answer: No

Explanation:

There are a few explanations as to why. I'm not sure as to what level of an explanation you are looking for. A person's body is made of atoms, which have constant motion due to multiple processes. An atom can never ever be frozen to absolute zero motion, we can only approach that value. Therefore, we will always have kinetic energy. Another explanation is Einstein's famous formula E = mc^2. This is the rest mass energy, which all things with mass obey. There is an energy-mass equivalence.

How do you boost the amount of electricity a fuel cell system produces?.

Answers

For this one it should be A single fuel cell generates approximately one volt of electricity. Individual fuel cells are combined to form a fuel cell stack to enhance the amount of electricity produced.

The amount of electricity a fuel cell system produces is boost by combined to form a fuel cell that is battery.

What is battery?

A battery is a device that uses an electrochemical oxidation-reduction (redox) cycle to turn the chemical energy included in its active components directly into electric energy. An electric circuit is used in this kind of reaction to transmit electrons from one substance to another.

The actual elector-chemical unit used to produce or store electric

For this one it should be A single fuel cell generates approximately one volt of electricity. Individual fuel cells are combined to form a fuel cell stack to enhance the amount of electricity produced.

The amount of electricity a fuel cell system produces is boost by combined to form a fuel cell that is battery.

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A car is traveling on the road at a velocity (Vx) of 35m/s. A person in the passenger seat
has a tennis ball and is tossing the ball up in the air to himself. He throws the ball directly up
with a velocity (Vy) of 3m/s. An outside observer is sitting on a bench on the side of the street
watching the car pass.


a) To the person inside the car, the ball travels directly up and down. But to the
outside observer, what is the launch angle of the ball?
b) What is the ACTUAL Speed (IVI) of the ball when it leaves the person's hand?
c) What is the maximum height the ball will reach in the car?
d) How long will the ball stay in the air?
e) How far will the ball travel in the direction of travel on the road?

Answers

(a) The launch angle of the ball is 5⁰.

(b) The actual speed of the ball when it leaves the person's hand is 35.13 m/s.

(c) The maximum height reached by the ball is 0.46 m.

(d) The time spent in air by the ball is 0.26 s.

(e) The horizontal distance traveled by the ball on the road is 4.55 m.

Launch angle of the ball

The launch angle of the ball is calculated as follows;

[tex]tan(\theta) = \frac{V_y}{V_x} \\\\\theta = tan^{-1} (\frac{3}{35} )\\\\\theta = 5\ ^0[/tex]

Actual speed of the ball

The actual speed of the ball when it leaves the person's hand is calculated as follows;

[tex]V = \sqrt{V_x^2 + V_y^2} \\\\V = \sqrt{(35)^2 + (3)^2} \\\\V = 35.13 \ m/s[/tex]

The maximum height reached by the ball

The maximum height reached by the ball is calulated as follows;

[tex]Vy_f^2 = V_y_i^2 - 2gh\\\\0 = 3^2 - 2(9.8)(h)\\\\19.6h = 9\\\\h = \frac{9}{19.6} \\\\h = 0.46 \ m[/tex]

Time spent in air by the ball

The time spent in air by the ball is calculated as follows;

[tex]h=V_yt + \frac{1}{2} gt^2\\\\0.46 = 3t + 4.9t^2\\\\4.9t^2 +3t - 0.46 = 0\\\\a = 4.9, \ b = 3, \ c =- 0.46\\\\t = \frac{-b \ \pm \ \sqrt{b^2 - 4ac} }{2a} \\\\t = 0.13 \ s[/tex]

Total time for upward and downward motion  = 2(0.13 s) = 0.26 s

Horizontal distance traveled by the ball

X = Vx(t)

X = 35 x 0.13

X = 4.55 m

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If the distance between two objects is tripled, what happens
to the gravitational force between them?
A. It decreases to 1/3 its original magnitude.
B. It increases to 9 times its original magnitude.
C. It increases to 3 times its original magnitude.
D. It decreases to 1/9 its original magnitude.
.

Answers

Answer:

D)it decreases to 1/9 its original magnitude

define 1 calorie heat​

Answers

Answer:

"One calorie of heat is defined as the amount of heat needed to raise the temperature of one gram of water by one degree Celsius"

Hope this Helps!

Explanation:

One calorie of heat is defined as the amount of heat needed to raise the temperature of one gram of water by one degree Celsius (or one kelvin).

help pls i been stuck on this for 40 mins already

Answers

Answer:

See below

Explanation:

At A they add together (they are both positive)= construct

At B they destruct  ( one is neg and one is pos)

c  destruct      d destruct     e  construct (both neg)

Analysis: (use a separate sheet of paper)
1. Write a scientific explanation about the relationship between frequency, wavelength, and
wave speed. Make sure to cite specific evidence from your investigation.
2. In one or two sentences describe how the frequencies of the different harmonic patterns
are related to each other.
3. If the frequency, increases what happens to the wavelength?

Answers

Speed, frequency and wavelength are interconnected to each other.

What happens to the wavelength if the frequency increases?

As a wavelength increases in size, its frequency and energy (E) decrease. As the frequency increases, the wavelength gets shorter. As the frequency decreases, the wavelength gets longer.

The wave speed is equal to the product of its frequency and wavelength, which shows the relationship between frequency and wavelength.

So we can conclude that speed, frequency and wavelength are interconnected to each other.

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Which of the following is an example if harmonic motion?

Answers

Answer:

"A pendulum swinging back and forth" is an example of harmonic motion

X = Xo cos ω t

Explains the back and forth motion of the pendulum

Mars moves in an elliptical orbit around the Sun. The location of the Sun relative to this ellipse is

Answers

Answer:

It is when the focus of the ellipse that is closer to the point where Mars is moving the fastest.

Explanation:

I hope it helps! Have a great day!

Anygays-

When you transfer energy to a drum through a drumstick or your handhow does the amount of energy affect the sound the drum makes? Explain using the Crosscutting Concept of Energy and Matter

Answers

Answer:

Striking the head of the drum changes its shape and compresses the air inside the shell. The compressed air presses on the bottom head and changes its shape. Then, these changes are transmitted to the drum shell and reflected back, and this action is repeated, creating a vibration. These vibrations of the top and bottom heads create vibrations in the air, which become sound, and eventually, as the head vibrations are dampened, the sound diminishes.

Explanation:

The Mechanical Advantage equation is written as ___

Answers

Mechanical advantage = output force/input force

MA = Fo/Fi

Someone please help me, I know I already asked a question please don't think I not smart, but

#1. How are potential and kinetic energy related?


#2. How are sounds made?

Answers

Answer:

PE is related to the ability to do work, If an item is sitting on  a shelf

it has potential energy relative to its position on the floor, However, if the object were to fall it would hit the floor with a KE equal to the PE that it had sitting on the shelf.

Sounds are caused by compressional waves in  the air - when a piano key is struck or a TV is turned on, then compressional waves are produced in the surrounding air due to a disturbance. The human ear recognizes the disturbed air as due to the object that created the disturbance.

please help i’m so lost✋:
Place the following events describing the production of electrical energy from a nuclear fission reactor in the correct order. Write the numbers 1 (first) through 7 (fast) in the spaces provided.

Answers

The thermal energy from nuclear reactions is first converted to mechanical energy and finally to electrical energy for use by the community.

What is nuclear energy?

Nuclear energy is the energy produced as a result of changes that occur in the nucleus of atoms of elements. These changes are known as nuclear reactions.

Electrical energy can be generated from nuclear reactions.

The steps in the generation of electrical energy from nuclear reactions is as follows:

A neutron bombards a uranimu-235 isotope A uranium-235 atom splits, producing atoms with smaller nuclei, three neurons, and thermal energythermal energy released by the react ion is added to water superheated water passes through a thermal exchanger, where the thermal energy released boil a separate system of water to produce steam steam produced by boiling water causes the blade of a turbine to rotate The mechanical energy of the rotating turbine is transferred to an electric generator electricity from the generator is carried to the community through wires.

Therefore, the thermal energy from nuclear reactions is converted to electrical energy for use by the community.

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What will happen to the period of a ball-on-a-spring if the ball is replaced by a smaller one with half the mass

Answers

When the ball on a spring is replaced by a smaller ball with half the mass :  The period decrease by 29%

Calculate the Period

We will apply the formula below to calculate period

T = [tex]2\pi \sqrt{\frac{m}{k } }[/tex]

 where :

T₁ / T₂ = [tex]\sqrt{\frac{m_{1} }{m_{2} } }[/tex]    where m₂ = m₁ / 2

Therefore :

T₂ = [tex]\frac{T_{1} }{\sqrt{2} }[/tex]   = 0.71 T

Hence we can conclude that the period will decrease by 29% ( i.e 100 - 71 ).

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b. The silica cylinder of a radiant wall heater is 0.6 m long
and has a radius 6 mm. If it is rated at 1.5 kw estimate
its temperature when operating. [The Stefan constant,
6=6 x 10-8 wm-2-4)

Ans: 1025 K

Answers

So,  If the silica cyliner of the radiant wall heater is rated at 1.5 kw its temperature when operating is 1025.3 K

To estimate the operating temperature of the radiant wall heater, we need to use the equation for power radiated by the radiant wall heater.

Power radiated by the radiant wall heater

The power radiated by the radiant wall heater is given by P = εσAT⁴ where

ε = emissivity = 1 (since we are not given), σ = Stefan-Boltzmann constant = 6 × 10⁻⁸ W/m²-K⁴, A = surface area of cylindrical wall heater = 2πrh where r = radius of wall heater = 6 mm = 6 × 10⁻³ m and h = length of heater = 0.6 m, and T = temperature of heater

Since P = εσAT⁴

P = εσ(2πrh)T⁴

Making T subject of the formula, we have

Temperature of heater

T = ⁴√[P/εσ(2πrh)]

Since P = 1.5 kW = 1.5 × 10³ W

Substituting the values of the variables into the equation, we have

T = ⁴√[P/εσ(2πrh)]

T = ⁴√[1.5 × 10³ W/(1 × 6 × 10⁻⁸ W/m²-K⁴ × 2π × 6 × 10⁻³ m × 0.6 m)]

T = ⁴√[1.5 × 10³ W/(43.2π  × 10⁻¹¹ W/K⁴)]

T = ⁴√[1.5 × 10³ W/135.72  × 10⁻¹¹ W/K⁴)]

T = ⁴√[0.01105 × 10¹⁴ K⁴)]

T = ⁴√[1.105 × 10¹² K⁴)]

T = 1.0253 × 10³ K

T = 1025.3 K

So, If the silica cylinder of the radiant wall heater is rated at 1.5 kw its temperature when operating is 1025.3 K

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Ryan holds a ball still at position A and then releases it. His friend stops the ball at position F. The image shows the path of the ball from position A to position F. Identify the kind of energy the ball has at each position. PE
KE
PE and KE

Answers

Answer:

See below

Explanation:

a  PE only...the ball is not moving

b and c     PE  and KE

d  KE only  

e and f      PE and KE

The energy of the ball at its highest position is potential energy.

What is law of conservation of energy ?

The law of conservation of energy states that, energy can neither be created nor destroyed. Despite this, it is capable of changing its form. The sum of the energies in an isolated system is constant regardless of the types of energy present.

Here,

According to law of conservation of energy, at each position of the ball, it will have some amount of energy.

At point A

The ball is at its highest position, that means maximum height. So, the energy of the ball at that position is potential energy and it doesn't have any kinetic energy.

At points B and C

At these positions the ball is moving downwards. That means the potential energy is being converted into kinetic energy of the ball. So, it has both PE and KE.

At point D

The ball is at the lowest position, on the ground. So, the potential energy is zero. Therefore, it has the kinetic energy.

At points E and F

At these positions, the ball is moving upwards. So, it has both PE and KE.

Hence,

The energy of the ball at its highest position is potential energy.

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what is the voltage of a circuit with power 36 W and current 4.5 A

Answers

Answer:

8 v

Explanation:

power = watts = v i

                 36   = v (4.5)

                   v = 8 v

Which of the following is a component of all galaxies?

A. Objects that contain dust and gas

B. Objects that orbit the stars

C. Objects that orbit the sun

D. Objects that shine in the sky

Answers

Answer:

Objects that orbit the sun

Explanation:

Answer: A. Objects that contain dust and gas

Explanation:   All galaxies have dust and gas. Answer C is incorrect because the answer says "the sun" how would and how would multiple galaxies have objects that orbit our sun?

(Oh, btw it's C I'm just messing with you guys)

How much magnification is needed to see a nanometer?.

Answers


20,000,000



To see things at a nanometer, which is a trillionth of a meter, you would need to increase magnification nearly 20,000,000 times those are ionizing atoms

How does earths magnetic field protect us from solar flares

Answers

Answer:

Earth's magnetic field serves to deflect most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation.

Answer:

Earth's magnetic field serves to deflect most of the solar wind,

whose charged particles would otherwise strip away the ozone layer that

protects the Earth from harmful ultraviolet radiation.

A 2.3-kg toy locomotive is pulling a 1.4-kg caboose. The frictional force of the track on the caboose is 0.46 N backward along the track. If the train is accelerating forward is 3.1 m/s2, what is the magnitude of the force exerted by the locomotive on the caboose

Answers

The net vertical force on the caboose (C) is

∑ F[v, C] = F[n, C]  - (1.4 kg) g = 0

where F[n, C] is the magnitude of the normal force exerted by the track on the caboose; so we have

F[n, C] = (2.3 kg) g = 13.72 N

which means the coefficient of kinetic friction µ between the caboose and the track is

F[f, C] = 0.46 N = µ (13.72 N)   ⇒   µ = (0.46 N) / (13.72 N) ≈ 0.034

and presumably the coefficient is the same for the locomotive.

The net vertical force on the locomotive (L) is

∑ F[v, L] = F[n, L] - (2.3 kg) g = 0

where F[n, L] is the magnitude of the normal on the locomotive, so that

F[n, L] = (2.3 kg) g = 22.54 N

and so the locomotive is opposed by a frictional force with magnitude

F[f, L] = µ (22.54 N) ≈ 0.76 N

Taking the locomotive and caboose together, the net horizontal force on the system is

∑ F[h] ≈ - F[f, C] - F[f, L] + F[engine] = (2.3 kg + 1.4 kg) (3.1 m/s²)

Solve for F[engine] :

F[engine] ≈ (3.7 kg) (3.1 m/s²) + 0.46 N + 0.76 N ≈ 13 N

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