In certain cases, using both the momentum principle and energy principle to analyze a system is useful, as they each can reveal different information. You will use the both momentum principle and the energy principle in this problem.
A satellite of mass 3500 kg orbits the Earth in a circular orbit of radius of 7.3 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6.0 1024 kg.
What is the magnitude of the gravitational force on the satellite due to the earth?
F= ________N
Using the momentum principle, find the speed of the satellite in orbit. (HINT: Think about the components of (dp^^\->)\/(dt) parallel and perpendicular to p^^\->.)
v = ________ m/s
Using the energy principle, find the minimum amount of work needed to move the satellite from this orbit to a location very far away from the Earth. (You can think of this energy as being supplied by work due to something outside of the system of the Earth and the satellite.)
work= ________J

Answers

Answer 1

Answer:

A) F_g = 26284.48 N

B) v = 7404.18 m/s

C) E = 19.19 × 10^(10) J

Explanation:

We are given;

Mass of satellite; m = 3500 kg

Mass of the earth; M = 6 x 10²⁴ Kg

Earth circular orbit radius; R = 7.3 x 10⁶ m

A) Formula for the gravitational force is;

F_g = GmM/r²

Where G is gravitational constant = 6.67 × 10^(-11) N.m²/kg²

Plugging in the relevant values, we have;

F_g = (6.67 × 10^(-11) × 3500 × 6 x 10²⁴)/(7.3 x 10⁶)²

F_g = 26284.48 N

B) From the momentum principle, we have that the gravitational force is equal to the centripetal force.

Thus;

GmM/r² = mv²/r

Making v th subject, we have;

v = √(GM/r)

Plugging in the relevant values;

v = √(6.67 × 10^(-11) × 6 x 10²⁴)/(7.3 x 10⁶))

v = 7404.18 m/s

C) From the energy principle, the minimum amount of work is given by;

E = (GmM/r) - ½mv²

Plugging in the relevant values;

E = [(6.67 × 10^(-11) × 3500 × 6 × 10²⁴)/(7.3 x 10⁶)] - (½ × 3500 × 7404.18)

E = 19.19 × 10^(10) J


Related Questions

What color is a carrot?

Answers

Answer:

reddish-orrange

Explanation:

please mark me as brainliest

What is the increase in gravitational potential energy of an object of mass 9.00 kg when it is raised from the ground to a height of 2.41 m, in units of joules?

Answers

Answer:

23 asden

Explanation:

first clothes and shoes

Why do scientists perform multiple trials of the same experiment?

Answers

Answer:

it's a good idea to do multiple trials, that is, do the same experiment lots of times. When we do multiple trials of the same experiment, we can make sure that our results are consistent and not altered by random events. Multiple trials can be done at one time.

Explanation:

the last one which is to increase the likelihood of accurate experiment results

Explanation:

a)Hari drove for 2 hours at a speed of 60km/h and next3 hours at a speed of 70km/h. Calculatehis average speed for the whole journey.b)A police car drives with a constant speed of 70km/h. How long it will take to cover a distance of 135 km? Express the speed in m/s

Answers

Answer:

Remember the relation:

Speed*Time = Distance.

Then first let's find the total distance that Hari drove.

First, he droves 2 hours at 60km/h, then the total distance traveled is:

Distance = 2h*60km/h = 120km

Then he droves 3 hours at 70km/h

The distance here is:

Distance = 3*70km/h = 210km

The total distance traveled is 120km + 210km = 330km

The total time of the travel is 2 hours  + 3 hours  = 5 hours.

The average speed is calculated as:

Av speed = (total distance)/(total time)

Av speed = (330km)/(5 h) = 66km/h

The average speed is 66km/h.

b) We know that the speed is 70km/h, but we want to write this in m/s.

Then we first know that 1 km = 1000m

then:

1 = (1000m/1km)

Then 70km/h = 70 km/h*(1000m/1km) = (70*1000) m/h = 70,000 m/h

Now we know that 1h = 3600 seconds, then:

1 = (1h/3600s)

So we can write:

70,000 m/h = (70,000 m/h)* (1h/3600s) = 70,000/3600 m/s = 0.019 m/s

and the distance is 135 km

Again, we can rewrite this as:

135km = 135km*(1000m/1km) = 135,000m

Then we want to solve:

(0.019m/s)*time = 135,000 m

We want to solve this for the time, then we get:

time = (135,000m)/(0.019m/s) = 7,105,263.2 seconds = 1.93 hours

write each of the following in scientific notation, correct to 2 decimal places.
a. 0.00000123 N
b. 417 000 000 kg
c. 246800 A
d. 0,00088 mm​

Answers

Answer:

The scientific notation for the each number is given below:

Explanation:

The scientific notation for the following numbers are:

a. For 0.00000123 N

1.23 × 10^-6

b. For 417 000 000 kg

4.17 × 10^8

c. For 246800 A

2.47 × 10^5

d. For 0.00088m

8.8 × 10^-4

The above represent scientific notations of each numbers

Why do we use copper wiring?

Answers

Explanation:

The lower the level of resistivity the more electrical conductivity a metal has. Copper has low resistivity, and therefore is an excellent conductor. Copper is also less oxidative than other metals

(a) The roof of a large arena, with a weight of 290 kN, is lifted by 30 cm so that it can be centered. How much work is done on the roof by the forces making the lift? (b) In 1960 a Tampa, Florida, mother reportedly raised one end of a car that had fallen onto her son when a jack failed. If her panic lift effectively raised 4000 N (about 1/4 of the car's weight) by 5 cm, how much work did her force do on the car?

Answers

Answer:

87000 J ;

200 J

Explanation:

Workdone = mgh

Weight = mg = 290kN = 290 * 1000=290000 N

h = distance = 30 cm = 0.3 m

Workdone = 290000 * 0.3

Workdone = 87000 J

B.)

Workdone = Force * distance

Force = 4000 N

Distance, d = 5 cm = 0.05 m

Workdone by the woman, W = 4000N * 0.05m

W = 200Nm = 200 J

please help me fast please help​

Answers

Answer:

the net energy Gained per hour equals 30Kcal/h

A marching band consists of rows of musicians walking in straight, even lines. When a marching band performs in an event, such as a parade, and must round a curve in the road, the musician on the outside of the curve must walk around the curve in the same amount of time as the musician on the inside of the curve. This motion can be approximated by a disk rotating at a constant rate about an axis perpendicular to its plane. In this case, the axis of rotation is at the inside of the curve. Consider two musicians, Alf and Beth. Beth is four times the distance from the inside of the curve as Alf. Knowing that If Beth travels a distance s during time Δt, how far does Alf travel during the same amount of time= (1/4)s

If Alf moves with speed v, what is Beth's speed?

a. 4v
b. v
c. v/4

Answers

Answer:

A) Total distance Alf travel during the same amount of time = [tex]\frac{1}{4}s[/tex]

B) Speed of Beth = 4v

Explanation:

Given - Consider two musicians, Alf and Beth. Beth is four times the

            distance from the inside of the curve as Alf.

To find - A) Knowing that If Beth travels a distance s during time Δt, how

                   far does Alf travel during the same amount of time.

              B) If Alf moves with speed v, what is Beth's speed?

Proof -

A)

As we know that

Speed = Distance / Time

⇒Distance = Speed ×Time

Now,

Given Speed of Alf = v

⇒Distance of Alf = vt

Also,

Distance of Beth = Speed of beth×time

Given that

Beth is four times the distance from the inside of the curve as Alf. Knowing that If Beth travels a distance s during time Δt, how far does Alf travel during the same amount of time=

⇒Distance of Alf = Speed of Alf×time

                           =  [tex]\frac{1}{4}[/tex] Distance of Beth

⇒Distance of Alf = [tex]\frac{1}{4}s[/tex]

∴ we get

Total distance Alf travel during the same amount of time = [tex]\frac{1}{4}s[/tex]

B)

We know the conversion of angular velocity

ω(Alf) = ω(Beth)

⇒V(Alf)/ r = V(Beth)/4r

⇒V(Alf) = V(Beth) / 4

⇒V(Beth) = 4 V(Alf)

As given, Alf moves with speed v

⇒V(Beth) = 4v

So, the correct option is - a.4v

A force of 100N moves a body on a horizontal frictionless surface when......

I. Friction force exerted on the body is less than 100N
II. Friction force exerted on the body is more than 100N
III. None of these
IV. Both of I and II

Answers

Answer:

I. Friction force exerted on the body is less than 100N

Explanation:

For  a body to be static, the moving force must be equal to the frictional force. Since the frictional force is a force of opposition. It tends to oppose the moving force acting on an object.

Hence if the moving force is greater than the force of friction, the Force of fiction will not be able to overcome the moving hence the body will tend to move.

Therefore, for a body to move, Fm > Ff or Ff < Ff

Fm is the moving force

Ff is the force of friction

Given

Fm = 100N

For the 100N body to move the frictional force must be less than 100N

PLEASE HELP ME WITH THIS ONE QUESTION
How many joules are needed to vaporize 125 g of liquid water at 100°C? The latent heat of vaporization is 2258 J/g.

Answers

Answer:

Q = 282,000 J

Explanation:

Given that,

The mass of liquid water, m = 125 g

Temperature, T = 100°C

The latent heat of vaporization, Hv = 2258 J/g.

We need to find the amount of heat needed to vaporize 125 g of liquid water. We can find it as follows :

[tex]Q=mH_v\\\\Q=125\ g\times 2285\ J/g\\\\Q=282250\ J[/tex]

or

Q = 282,000 J

So, the required heat is 282,000 J .

Create a concept map that shows the relationships among the following: crest, trough, compression, rarefaction, wave length, wave frequency, amplitude, and wave
speed.

Answers

Uhm.. based on what? Can you please specify/add an image or some more text and elaborate?

A baseball is traveling (+30m/s) and is hit by a bat. It leaves the bat traveling (−40m/s). What is the change in its velocity?
Unlike some others, this is any choice, so not just 4 choices!

Answers

Answer:

Explanation:

The change must be 30 - - 40 which means it came in a 30 meters / second and went out in the opposite direction at 40 meters / second

The change is 70 m/sec.

You could show it to be - 70 meters per second as well. That's done by making the outgoing direction minus.

Delta v = vf - vi.

Now it depends on which way you define vf and vi.

Which of the following is an example of the transformation of gravitational potential energy into motion energy (kinetic energy)?

Answers

Answer:

c

Explanation:

because a drop of water is falling and that is gravitational potential energy into motion energy

why is gravity on earth important

Answers

it holds down our atmosphere and the air we need to breathe- it holds our world together!

Explain how the plants of a tropical rain forest contribute to the characteristic hot, humid weather associated with the area. Use details to support your answer.

Answers

Answer: The atmosphere of trophic rainforest is hot and humid due to high rate of transpiration.

Explanation:

The tropical rainforest is a biome which exhibit rich biodiversity of plants and animals. The average temperatures in this region remain high with warm summer. It remains frost free. The soil is nutrient deficient. Due to hot temperature the rate of transpiration remains high as a result the concentration of the water vapors remain high. This is responsible for increasing the humidity in the atmosphere also this region receives appreciable amount of rainfall annually. The average rainfall range is 200-450 centimeters.


Maurice is playing some of the arcades at the county fair. At one booth he throws a 1.2-kg ball forward with a velocity of 15 m/s and hits a 0.5-kg can
at rest. The ball continues forward at 9 m/s. What is the new velocity of the can, in m/s? (Round your answer to one decimal place if necessary.)

Answers

Answer:

9.6

Hope this helps.


C
D
7
The sun is the original source of
energy for many of our energy
resources
Which energy resource does not
originate from the sun? *
(1 Point)
.
A. Geothermal
B. Hydroelectric
C. Waves
D. Win

Answers

Answer:

geothermal

Explanation:

geothermal energy is the heat energy obtained from within the Earth. Hence not derived from Sun's energy.

What is the expermintal example of Zeeman effect?

Answers

Answer:

When the spectral lines are absorption lines, the effect is called inverse Zeeman effect.

Young's double slit experiment is one of the quintessential experiments in physics. The availability of low cost lasers in recent years allows us to perform the double slit experiment rather easily in class. Your professor shines a green laser (560 nm) on a double slit with a separation of 0.108 mm. The diffraction pattern shines on the classroom wall 3.0 m away. Calculate the fringe separation between the third order and central fringe.

Answers

Answer:

 y = 4.666 10⁻² m

Explanation:

The constructive interference experiment for the double slit

         d sin sin θ = m λ

Let's use trigonometry to find a sine relationship.

         Tan θ = y / L

          tan θ = sin θ/ cos θ

in these experiments the angles are very small

           tan θ = sin θ

           sin θ = y / L

            [tex]d \frac{y}{L}[/tex] = m λ

              y = [tex]\frac{ m \lambda \ L}{d}[/tex]

we replace the values

              y = 3  560 10⁻⁹ 3.0 / 0.108 10⁻³

              y = 4.666 10⁻² m

You find an unmarked blue laser on your way to physics class. When you get to class you realize you can determine the wavelength of the laser by doing a double slit experiment. Shining the laser through a double slit with a slit separation of 0.342 mm on the wall 2.12 m away the first bright fringe is 2.80 mm from the center of the pattern. What is the wavelength

Answers

Answer:

λ = 451.7 nm

Explanation:

The expression for the constructive interference of the double diffraction experiment is

          d sin θ = m λ

let's use trigonometry

          tan θ = y / L

   

how the experiment occurs at very small angles

          tan θ = sin θ / cos θ = sin θ

          sin θ = y / L

we substitute

         d y / L = m λ  

         λ = [tex]\frac{d \ y}{m \ L}[/tex]

let's calculate

          λ = [tex]\frac{0.342 \ 10^{-3} \ 2.80 \ 10^{-3} }{1 \ 2.12 }[/tex]

          λ = 4.51699 10⁻⁷ m

          λ = 4.517 10⁻⁷ m (109 nm / 1m)

          λ = 451.7 nm

4. If the cooling of magma takes place slowly beneath Earth's surface, the rock is that is formed
is called
a. extrusive igneous rock
b. intrusive igneous rock
c. sedimentary rock
d. metamorphic rock

Answers

I agree with the answer above listen to them :)

10. John does 176 J of work lifting himself a distance of 0.40 m. How
much force must John apply to accomplish this?
O 440 m
O 440 J
O 440 N
O 70.4 J

Answers

The answer is 440N

Given the displacement vector D = (4î − 8ĵ) m, find the displacement vector R (in m) so that D + R = −3Dĵ. (Express your answer in vector form.)

Answers

Answer:

--------------------------------

Explanation:

A 65 kg cart travels at a constant speed of 4.6 m/s. What is its kinetic energy?

Answers

Answer:

Explanation:

mass (m) = 65 kg

velocity (v) = 4.6 m/s

Kinetic energy (KE)

= 1/2 * m * v²

= 1/2 * 65 * 4.6²

=  687.7 J

hope it helps :)

Define electromagnetism​

Answers

Answer:

the phenomenon of the interaction of electric currents or fields and magnetic fields.

is a branch of Physics, that deals with the electromagnetic force that occurs between electrically charged particles. The electromagnetic force is one of the four fundamental forces and exhibits electromagnetic fields such as magnetic fields, electric fields, and light.

Explain why the sound waves always reach the observer after the light waves

Answers

Answer:

I think it's because the light waves travel faster than the sound waves.

The speed of light is far greater than the speed of sound hence, sound waves always reach the observer after the light waves.

What is the speed of light?

Light occurs in the electromagnetic spectrum. Recall that light can be transmitted through vaccuum unlike sound.

The speed of light is far greater than the speed of sound hence, sound waves always reach the observer after the light waves.

Learn more about speed of light:https://brainly.com/question/8832859

#SPJ2

An instrument that produces an electric current in the presence of
a radioactive substance is called a
a. particle accelerator.
b. Geiger counter.
c. cloud chamber.
d. bubble chamber.

Answers

Answer:

Option B, Geiger counter

Explanation:

What year did Badminton become a full-medal Olympic sport?

Answers

Answer:

1992

Explanation:

Badminton made its debut as a demonstration sport at the 1972 Olympic Games in Munich. It was not until the 1992 Games in Barcelona that it was officially included on the Olympic programme, with men's and women's singles and doubles events.

Which water on earth is the largest,second to the largest,3rd to the largest,fourth to the largest and 5th to the largest?​

Answers

Answer:

Explanation:

There are a total of 5 differen classification for the types of bodies of water that exist on Earth. These 5 would be the following: Oceans, seas, lakes, rivers, and canals. Oceans are the biggest bodies of water on Earth. If we ranked them by their size the ranking would be the following...

Pacific Ocean - being 155,556,651 sq km. in size

Atlantic Ocean - being 76,761,938 sq km. in size

Indian Ocean - being 68,555,923 sq km. in size

Antarctic / Southern Ocean - being 20,327,001 sq km. in size

Arctic Ocean - being 14,055,930 sq km. in size

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