Communication satellites are often put in a geo-synchronous orbit, meaning they have an orbital period of 24 hours and stay over the same spot above the equator at all times. Given that the Earth has a mass of 5.97 x 1024 kg and a radius of 6.37 x 106 meters, determine the following: a. What is the orbital height of the satellite relative to the surface of the Earth

Answers

Answer 1

Answer:

h = 35857 km

Explanation:

A geosynchronous orbit can be defined as circular orbit which lies on the Earth's equatorial plane and follows the direction of the Earth's rotation in a period that's equal to the Earth's rotational period and thereby appearing motionless, at a fixed position in the sky relative to the ground observers.

We are given;

Radius of earth(R) = 6.37 x 10^(6) m

Mass of earth (Me) = 5.97 x 10^(24) kg

Gravitational constant = 6.67 × 10^(-11) m³/kg.s²

The earth has a rotational period of 24 hours per day. This gives in seconds

T = 24 × 60 × 60

T = 86400 s

Let's make the height of the orbit from Earth's surface to be h

Also, let ω be the uniform angular velocity in rad/s with which the satellite rotates in the geosynchronous orbit

Now, equating the centripetal force with the gravitational force gives us;

mω²(R + h) = G•Me•m/(R + h)²

m will cancel out. Also ω can be written as 2π/T

Thus,we now have;

(R + h) = ∛(G•Me•T²/(4π²))

Plugging in the relevant values, we have;

(R + h) = ∛(6.67 × 10^(-11) × 5.97 x 10^(24) × 86400²/(4π²))

(R + h) = 42227 Km

Since R = 6.37 x 10^(6)m = 6370 km

Thus;. h = 42227 - 6370 = 35857 km


Related Questions

If you go to a nutrition store and buy a supplement you can count on the fact that it is pure and safe because supplements are regulated controlled and inspected by the FDA

Answers

Answer:

The answer is False.

Explanation: The FDA (food and drug administration) is a regulatory agency of the United state Government, they regulate the production and distribution of food and drugs within the United States of America, ensuring that standards are met and followed.

Most of the approvals given to food and drugs by FDA are done based on random sampling of products which may not be able to capture all the defective products in a given lot or batch of supplies, which is why it very necessary to take other measures to verify the wholesomeness, authenticity etc of a given product before purchasing or making use of such products.

Answer:

false

Explanation:

got right on egd

define average velocity​

Answers

Answer:

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another.

Explanation:

Average velocity is a vector quantity. The SI unit is meters per second. However, any distance unit per any time unit can be used when necessary, such as miles per hour (mph) or kilometer per hour (kmph)

Answer:

the ratio of total displacement by total time taken

An iron ball at 40°C is dropped in a mug containing water at 40°C.
The heat will
(a) flow from iron ball to water.
(b)
not flow from iron ball to water or from water to iron ball
(c)
flow from water to iron ball
(d) increase the temperature of both
10. A wooden spoon is dipped in a cup of ice cream. Its other end
(a) becomes cold by the process of conduction.
(b) becomes cold by the process of convection
(c) becomes cold by the process of radiation.
(d) does not become cold.​

Answers

Answer:

1. option a

2. option d

Explanation:

HOPE IT HELPS YOU

a rock with mass of 5kg is carried up a small hill 10 meters high. how much work had to be done in carrying the rock up hill

Answers

Answer:

490Nm

Explanation:

Given the following :

Mass of rock = 5kg

Height or distance = 10 meters

A rock with mass of 5kg is carried up a small hill 10 meters high. how much work had to be done in carrying the rock up hill?

Workdone is product of force and distance.

Workdone = force * distance

Recall :

Force = mass * acceleration due to gravity (g)

g = 9.8m/s^2

Force = 5 * 9.8 = 49 N

Therefore,

Workdone = 49 × 10 = 490Nm

what is a hypothesis reffered to as after being verified by a large number or independent experiments

Answers

Answer:

The hypothesis may or may not be true and needs to be tested. It might be the answer to the problem. Hence, it must be tested thoroughly. When these predictions are tested again and again in independent scientific experiments and gets verified, the hypothesis is converted into a scientific theory.

The T-chart compares the average temperature and humidity of two different environments. Which of the following correctly labels the environments?

a t-chart with one column labeled A listing: High humidity: 70%, Temperature Range: 2 degrees Celsius (35 degrees Fahrenheit) in the winter to 24 degrees Celsius (75 degrees Fahrenheit); and another column labeled B listing: Low humidity (13-15%), Temperature Range: -18 degrees Celsius (-1 degrees Fahrenheit) to 49 degrees Celsius (120 degrees Fahrenheit)

A is a desert, and B is a tundra.
A is a grassland, and B is a desert.
A is a tundra, and B is a rainforest.
A is a tundra, and B is a swamp.

Answers

Answer:

A turndra B rainforest

Explanation:

Compared to other planets in the solar system, Earth has a wider range of temperature conditions, which contributes to Earth's ability to support life.

Answers

Answer:

Goldilocks zone of habitability.

Explanation:

Earth is the third planet in the solar system next to venus and is followed by mars as the red planet.  Due to the nature and characteristics of the earth its called the blue planet as it supports life and this is possible due to the presence of the adequate temperatures and pressure conditions that were created some 4 billion years ago. The earth has an adequate amount of temperature that is considered to be sufficient for life on the planet to exist and is called the goldilocks zone. As the earth is neither too far nor too close to the sun.

An aircraft travelling at 600km/h accelerates steadily at 10km/h per second. Taking the speed of sound as 1100km/h at the aircraft's altitude how long will it take to reach the sound barrier?​

Answers

speed of sound is the final velocity [tex] v=1100[/tex]

and initial velocity $u=600$ , $a=10$

$v=u+at$

$t=\dfrac{v-u}{a}= \dfrac{500}{10}$

$\implies t=50 h$

A 2.00 m long string transmits
waves at 12.9 m/s. At what
frequency will it create standing
waves with 3 loops?
(Unit = Hz)

Answers

Answer:

The frequency at which the string will create a standing wave be  with three loops is 8.6 Hz

Explanation:

The speed of the of the wave, v = 12.9 m/s

The number of loops of the standing wave = 3 loops

The length of the string = 2.00 m

Given that one loo = half of the wavelength, we have;

Three loops = 3 × half = One and half wavelength  = 1.5·λ

The frequency of a wave = f = v/λ

Therefore, we have;

The frequency, f = 12.9/1.5 = 8.6 Hz

The frequency at which the string will create a standing wave be  with three loops = 8.6 Hz.

Answer:

9.675

Explanation:

got it right on acellus

State the relative position for the sun and earth during the lunar eclipse (ASAP)

Answers

Answer:

Solar eclipses result from the Moon blocking the Sun relative to the Earth; thus Earth, Moon and Sun all lie on a line. Lunar eclipses work the same way in a different order: Moon, Earth and Sun all on a line. In this case the Earth's shadow hides the Moon from view.

the force of attraction between the earth and objects on it is called..

Answers

Answer: gravitational pull? gravity

Explanation:

If you look at faint stars, you can see them more easily on the edges of your vision than if you try to look directly at them. Why is this true?

Answers

Answer:

The retina comprises of rod and cone cells . The rod cells are responsible for black and white vision and require low light levels while the cone cells are responsible for color vision and require good/high light levels for better functioning.

When faint stars are looked at on the edges of the vision it allows more light from faint objects to strike the rod cells which then becomes more visible.

In the vertical columns of the periodic table:
Atomic weight increases from top to bottom.
Outer shell electrons increases from top to bottom.
The number of shells increases from top to bottom.
All the physical properties are identical.

Answers

Answer:

C. The number of shells increases from top to bottom

Explanation:

There are some trends about the periodic table, one of them is that in the vertical columns of periodic table, the number of shells increases from top to bottom.

From top to bottom in a periodic table, the number of electrons increases, thus more number of shells are needed to fill these electrons and the number of shells increases or we can say the atomic radius increases from top to bottom.

Hence, the correct option is "C".

A train travels southwest from point A to point B through the Arizona desert at 55 mi/h. How far will the train travel six-and-a-half hours?

Answers

Answer:

  357.5 miles

Explanation:

  distance = speed × time

  distance = (55 mi/h) × 6.5 h = 357.5 mi

The train will travel 357.5 miles in 6.5 hours.

solve the horizontal component​

Answers

Answer:

To find the horizontal component, we multiply the magnitude of the vector by the cosine angle referenced to the horizontal. To find the vertical component, we do the same thing, but take the sine angle.

In a game of tug of war, a rope is pulled to the left with a force of 75 N and to the right with a force of 102 N. What is the magnitude and direction of the net external force on the rope?

Answers

i did it on paper. hopefully that’s ok with you.

The magnitude and direction of the net external force on the rope will be 27 N towards the right.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

Force acting on the left , F₁= 75 N

Force acting on the , F₂=102 N

Net force (F)=?

The net force is found as;

[tex]\rm F=F_2-F_1\\\\ F= 102-75 \\\\ F= 27 \ N[/tex]

Hence, the magnitude and direction of the net external force on the rope will be 27 N towards the right.

To learn more about the force, refer to the link;

https://brainly.com/question/26115859

#SPJ2

how much electrical energy is used by the river cooker oven rated 800 W ,230 V is switched on for 30 minutes

Answers

Answer:

E = 1440 kJ

Explanation:

It is given that,

Power of a cooker oven is 800 W

Voltage at which it is operated is 230 V

Time, t = 30 minutes = 1800 seconds

We need to find the electrical energy used by the cooker oven. The product of power and time is equal to the energy consumed. So,

[tex]E=P\times t\\\\E=800\ W\times 1800\ s\\\\E=1440000\ J\\\\\text{or}\\\\E=1440\ kJ[/tex]

So, electrical energy of 1440 kJ is consumed by the cooker oven.

3) A charged particle is moving with velocity of V in a magnetic field of B, which one of the followings is correct: A) The direction of force F on the charge is parallel to magnetic field B B) The direction of force F on the charge is parallel to velocity direction V C) The force is maximized when velocity direction and magnetic field are parallel D) The force F is perpendicular (normal) to both velocity V and magnetic field B E) The direction of force on positive charge or negative charge would be the same

Answers

Answer:

D) The force F is perpendicular (normal) to both velocity V and magnetic field B.

Explanation:

When a charged particle enters a magnetic field, it experiences a force which changes its direction of travel. The direction of motion of the charged particle, the magnetic field direction, and the direction of the force, are all perpendicular to one another. According to Lorentz right hand rule, hold the right hand parallel to the ground, with the palm facing up, and the thumb held out at right angle to the other fingers. If the direction of the other fingers represents the magnetic field line and direction, and the thumb represents the direction of motion of a positively charged particle, then, the palm will push up in the direction of the force. For a negatively charged particle, the force will push down in the direction of the back of the hand.

Terrestrial coordinates expanded into infinite space onto a celestial sphere is called the
A) ecliptic plane
B) galactic plane
C) equatorial coordinate system
D) terrestrial coordinate system

Answers

Answer:

The correct option is;

C) Equatorial coordinate system

Explanation:

The equatorial coordinate system is which has the most wide spread use in coordinate system for astronomy for mapping the location of celestial bodies such as stars by use of an imaginary projected celestial sphere or to rectangular coordinates with the Earth at the center.  Extending the Earth's axis onto the celestial sphere is essentially the projection of the Earths axis outwards to intersect the sphere at the celestial poles.

c, 'equatorial coordinate system'

its the correct answer on the test,,, goodluckk :))!!

Potassium’s atomic number is 19, and its atomic mass is approximately 39. How many neutrons does potassium have?

19

58

20

39

Answers

Answer:

20

Explanation:

Atomic number is same as the number of protons of an atom and atomic mass is equal to the sum of number of protons and number of neutrons of an atom.

Atomic number = 19

So, number of protons (p) = 19

Atomic mass = 39

So, sum of number of neutrons and number of protons (n + p) = 39

Number of neutons (n)

= (n + p) - p

= 39 - 19

= 20

Potassium’s atomic number is 19, and its atomic mass is approximately 39, then Potassium would have 20 neutrons present inside its nucleus, therefore the correct answer is option C.

What is the atomic number?

The total number of protons present in an atom is known as the atomic number of that atom. The atomic number has no correlation either with the number of neutrons or the number of electrons present inside an atom.

While the atomic mass of an atom is the sum of the total number of protons and the number of neutrons present inside of any atom.

atomic number= total number of protons

atomic mass = total number of protons + total number of the neutrons

As given in the problem Potassium’s atomic number is 19, this means Potassium has 19 protons

Potassium has an atomic mass of about 39

39 = total number of protons + total number of the neutrons

39 = 19 +  total number of the neutrons

total number of the neutrons = 39-19

                                                 =20

Since potassium has an atomic mass of about 39 and an atomic number of 19, it would have 20 neutrons in its nucleus. Option C is the right response.

Learn more about the atomic number from here

brainly.com/question/14190064

#SPJ5

What is not one of the main uses of springs?
A. Bike suspension
B. The seasons
C. Clock making
D. Car suspension

Quick answer

Answers

Answer:

b. the seasons

Explanation:

A flashlight contains a battery of two cells in series, with a bulb of resistance 12 Ohms. The internal resistance of each cell is 0.26 ohms. If the potential difference across the bulb is 2.88V, what is the emf of EACH cell?

Answers

Answer:

1.5024

Explanation:

Draw a diagram. Put the two cells in series. Now draw 3 resistors. Two of them equal 0.26 ohms each. The third one is the lightbulb which is 12 ohms.

R = 0.26 + 0.26 + 12 = 12.52

The bulb has a voltage of 2.88 volts across it. You can get the current from that.

i = E / R

i = 2.88 / 12 =

i = 0.24 amps.

Now you can get the voltage drop across the two cells.

E = ?

R = 0.26

i = 0.24 amps

E = 0.26 * 0.24

E = 0. 0624

Finally divide the 2.88 by 2 to get 1.44

Each cell has an emf of 1.44 + 0.0624 = 1.5024

if the velocity of a train starts from rest is 72km/h(20m/s) after 5 minutes, find out its acceleration and the distance travelled by the train in this time

Answers

Explanation:

Convert the time to seconds : 5minutes × 60 = 300seconds

Acceleration = Velocity / Time

Acceleration = 20m/s / 300s

Acceleration = 0.067m/s²

Distance = Velocity × Time

Distance = 20m/s × 300seconds

Distance = 6000m

Which of the following illustrates an increase in potential energy? Group of answer choices a wind-up toy winding down a person climbs a set of stairs an apple dropping from a tree a firecracker explodes

Answers

Answer:

A person climbs a set of stairs

Explanation:

Potential energy is said to be possessed by an object due to its position. As the height from the ground level increase, the potential energy increases. It is calculated by the below formula as :

P = mgh

Out of the given options, the option that illustrates an increase in potential energy is option (b) i.e. a person climbs a set of stairs. As he steps one stair, its position from ground increases. It means its potential energy increases.

One end of a graphite rod is brought near a heat source. How does the other end of the rod eventually heat up? A. Directly from the heat source B. Vibrations from neighboring atoms C. Waves from the heat source D. Waves from neighboring atoms

Answers

Answer:

Vibrations from neighboring atoms

Explanation:

When a rod is heated, the thermal energy transferred to the molecules of the rod causes them to vibrate faster. As the molecules near the heat source vibrate faster, they eventually transfer their excess energy to neighbouring molecules which also begin to vibrate faster. This continues until heat is distributed throughout the length of the rod.

The process described above is known as heat transfer by conduction.

good morning how ya'll doing today

Answers

Answer:

good

Explanation:

Answer:

fine

Explanation:

make me as brainliast

pete walks at a rate of 4.0 miles per hour for 30 minutes. How far did he walk?

Answers

2 miles i believe because if he walks at 4.0 miles an hour divided by that 30 minutes basically just splitting it in half giving you 2 miles

Why does the weight of a body differ on different celestial bodies of the universe?​

Answers

An object's weight is dependent on its mass and how strongly gravity pulls on it. The strength of gravity depends on how far away one object is from another.

If a car has a speed of 36m/s how long will it take to go 100 m

Answers

It will take 2.77..... seconds
The answer to this question is 2.77..... seconds.

A central air-conditioner uses 3500W of electricity. If electricity costs $0.087/kW*h. calculate how much it would cost to operate the air-conditioner 24 hours a day for 4 months (120 days).

Answers

Answer:

$876.96

Explanation:

The energy used is:

3500 W × (24 hr/day) × (120 day) × (1 kW / 1000 W) = 10,080 kWh.

So the cost is:

10,080 kWh × ($0.087 / kWh) = $876.96

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