A satellite with a mass of 150 kg fires its engines to increase velocity, thereby
increasing the size of its orbit about Earth. As a result, it moves from a
circular orbit of radius 7.5 x 106 m to an orbit of radius 7.7 x 106 m. What is
the approximate change in gravitational force from Earth as a result of this
change in the satellite's orbit? (Recall that Earth has a mass of 5.97 x 1024 kg
and G = 6.67 x 10-11 N-m²/kg².)
OA. -113 N
OB. -148 N
O C. -216 N
D. -54 N

Answers

Answer 1

The approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N

What is the universal law of gravitation?

The universal law of gravitation states that the particle of matter in the universe attracts another particle with a force directly proportional to the  product of their masses and inversely proportional to the square of the distance between them.

It is written thus;

F = G MIM2÷ r∧2

Where

F = Gravitational force

G = Gravitational constant

M1 and M2 are the masses of the object

r = radius

How to calculate the gravitational force

Formula:

F = G MIM2 ÷ r∧2

Given M1 = 150kg, M2 = 5.97 x 1024 kg, r = 7.5 x 106 m, G =  6.67 x 10-11 N-m²/kg²

For the first orbit, substitute the values

F = 6.67 x 10∧-11 × 150 ×  5.97 x 10∧24 ÷ (7.5 x 10∧6)²

F = 5.95 × 10∧16 ÷ 56.25 × 10∧12 =  105.77 N

For the second orbit of radius 7.7 x 106 m

F =  6.67 x 10∧-11 × 150 ×  5.97 x 10∧24 ÷ (7.7 x 10∧6)²

F = 5.95 × 10∧16 ÷ 59.25 × 10∧12 = 100. 42 N

The approximate change = 105. 77 - 100.42 = 5. 35N

Hence, the approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N

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Related Questions

Scientists use equations to model how fast a rocket needs to go to launch a satellite into orbit. What is a limitation of this model?

Answers

A limitation of this model is that it can't be tested practically in order to check its validity.

What is a model?

Models are representations of scientific data that can help in defining, analyzing, and communicating many concepts. These models are developed in order to do analysis, specification, design, verification, and validation of a system.

So we can conclude that a limitation of this model is that it can't be tested practically in order to check its validity.

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HELP ASAP PLS!!!
when you see a full moon, what type of tides do you expect there to be?

Answers

Answer:

Spring High Tide

When the moon is full or new, the gravitational pull of the moon and sun are combined. At these times, the high tides are very high and the low tides are very low.

The most effective way to reduce waste is to not create it in the first place.

True
False

Answers

Answer:

True

Explanation:

If there isnt any waste it would reduce the quantity however the waste that is present needs to be dealt with so......

How far does the runner travel in 10 s going a velocity of 4m/s

Answers

Answer:

40 m

Explanation:

4 m/s   * 10 s   = 40 m  

  ( see how the 's' cancels out and you're left with "m" as your answer?)

Particles q1, q2, and q3 are in a straight line. Particles q1 = -5.00 x 10^-6 C, q2 = +2.50 x 10^-6 C, and q3 = -2.50 x 10^-6 C. Particles q1 and q2 are separated by 0.500 m. Particles q2 and q3 are separated by 0.250 m. What is the net force on q2

Answers

When q₂ is place between q₁ and q₃, the net force on q₂ is 0.486N.

What is the electrostatic force?

The electrostatic force of attraction or repulsion is proportional to the product of magnitude of charges and inversely proportional to the square of distance between them.

Force on q₂ due to q₁

F₁₂ = kq₁q₂ / r₁₂²

Substitute the values provided , we get

F₁₂ = 9 x 10⁹ x 5 x 10⁻⁶ x 2.5 x 10⁻⁶ / (0.5)²

F₁₂ = 0.414 N

Force on q₂ due to q₃ placed at distance 0.25m

F₂₃ =kq₂q₃ / r₂₃²

Substitute the values, we get

F₂₃ =  9 x 10⁹ x 2.5 x 10⁻⁶ x 2.5 x 10⁻⁶ / (0.25)²

F₂₃ = 0.9N

The net force F =F₂₃ -F₁₂

F =0.9 - 0.414 = 0.486 N

Thus, the net force of q₂ is 0.486 N.

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Answer:

0.45

Explanation:

trust me

There are five appliances: an air conditioner (1000 W), a refrigerator (450 W), a washing machine (500 W), a popcorn popper (250 W), and a stereo (20 W). What are the three highest-power appliances that can be plugged into two outlets and be running at the same time? The maximum current capacity of the circuit is 15 A, and the outlets provide 120 V. (HINT: Find the current of each appliance). SHOW YOUR WORK.

Answers

The three highest-power appliances that can be plugged into two outlets and be running at the same time are air conditioner, washing machine and popcorn popper.

Current of each appliance

The current of each appliance is calculated as follows;

P = IV

I = P/V

air conditioner (1000 W), I = 1000/120 = 8.33 A

refrigerator (450 W), I = 450/120 = 3.75 A

washing machine (500 W), I = 500/120 = 4.17 A

popcorn popper (250 W), I = 20/120 = 0.17 A

The three highest-power appliances that can be plugged into two outlets;

8.33 A +  4.17 A + 0.17 A = 12.67 A, which is less than 15 A.

Thus, the three highest-power appliances that can be plugged into two outlets and be running at the same time are air conditioner, washing machine and popcorn popper.

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22.61 . (a) An insulating sphere with radius has a uniform
charge density P .The sphere is not centered at the origin but at
r->=b->.Show that the electric field inside the sphere is given by
E-> = P(r-> - b->)/3Eo

Answers

Answer:

f

Explanation:

Air is a good medium for sound waves because it is

Answers

Answer:

air does not have a modulus of rigidity.

Explanation:

Since air is completely elastic medium, that is, it does not have a modulus of rigidity, therefore sound waves in air are longitudinal.

Need help asap!!science foundations

Answers

Warning

This may be wrong, but I am 75% sure on my answer. I sincerely apologize if if it wrong.
A seems like the most reasonable option. I believe it’s A because the age, density, and thickness of oceanic crust increases with distance.

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022kg and a radius of 1821 km.

How high would this material go on earth if it were ejected with the same speed as on Io? ( RE =6370km , mE=5.96×1024kg )
Include variations in gravitational acceleration

Answers

The material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

What is will be the height of the material on earth?

The height of the material on earth will be derived from the given values as follows:

Gravitational constant, G = 6.67 × 10⁻¹¹ m³/kgs²radius of Io, r = 1821000 mmass of Io, m =  8.93 × 10²² kgHeight of materials, H = 500000 macceleration due to gravity on Earth, g = 9.81 m/s²

Tue acceleration due to gravity on Io, go is given as:

[tex]g_o = \frac{GM}{r^{2}}[/tex]

Substituting the values:

[tex]g_o= \frac{6.67×10^{-11}×8.93×10^{22}}{1821000^{2}}[/tex]

[tex]g_o = 1.796 m/s^{2}[/tex]

Height on earth, He and Height on Jupiter H is given as follows:

[tex]H_e = \frac{v^{2}}{2g}[/tex]

[tex]H = \frac{v^{2}}{2g_o}[/tex]

Taking ratio of the two heights and solving for height on earth, He:

[tex]H_e = H × \frac{g_o}{g}[/tex]

Substituting the values:

[tex]H_e = 500000 × \frac{1.796}{9.81} = 91539.245 m[/tex]

Therefore, the material will go as high as 91.54 km would this material go on earth if it were ejected with the same speed as on Io.

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What is the de-Broglie wavelength of a 70kg person jogging at the rate of 2.70m/s. the mass of an electron is 9.11 x 10-28g, the speed of light is 3.00 x 108m/s, planks constant is 6.63 x 10-34js.

Answers

The de-Broglie wavelength of a person jogging at the rate of 2.70m/s is 3.5 x 10⁻³² m.

What is de-Broglie wavelength?

De-Broglie wavelength is the ratio of Planck's constant  h to the momentum of the electron p.

Momentum p = mass m x velocity v

Given is the mass of a person = 70kg, the speed of person 2.70m/s, Planck's constant h= 6.63 x 10⁻³⁴J.s

De- Broglie wavelength λ= h/mv

λ = 6.63 x 10⁻³⁴/ ( 70 x 2.70)

λ = 3.5 x 10⁻³² m

Thus the wavelength is 3.5 x 10⁻³² m.

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An object is being shot from a horizontal ground at an incline angle of 30 degree with respect to the ground at a speed of 52 m/s. Find the duration in seconds that the object is above the height of 14 m. Give your answer with one decimal place.

Answers

When an object is thrown at an angle from the horizontal, the path followed by the body is called the projectile motion. The duration in seconds that the object is above the height of 14 m is 4.698 s.

What is speed?

Speed is the time rate at which velocity is changing.

Vertical speed component is

V₀y = 52sin 30°= 26 m/s

Given is the height h=14m

Using second equation of motion,

S=ut+ 1/2 at²

Substituting the values, we get

14 = 26t - 4.9t²

4.9t² - 26t +14 =0  

Solving the quadratic equation, we get the time as

taking the positive sign, t =4.698 s

taking the negative sign , t = 0.6082 s

Thus, the duration in seconds that the object is above the height of 14 m is 4.698s.

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10. Explain why a power plant doesn’t make electricity.

Answers

Answer: The power station converts stored chemical energy in the fuel to kinetic energy in the raised temperature of the steam that pushed a turbine to rotate the generator that makes electricity.

So chemical to thermal (kinetic) to thermal to kinetic to electrical. Then mostly to heat or movement.

Loads of losses, thermal, mostly.

Explanation: hopes this helps

In all of the power plants, electricity is generated by rotating turbine inside a magnetic field. That is why,  power plant transfers mechanical energy into electric energy. That is why, it  doesn’t make electricity.

What is power plants?

An industrial facility for the production of electricity is referred to as a power plant. In most cases, power plants are wired into a grid.

A revolving device called a generator, which transforms mechanical power into three-phase electric power, is found in many power plants. An electric current is produced by the movement of a conductor in relation to a magnetic field.

The majority of power plants throughout the world produce electricity by burning fossil fuels including coal, oil, and natural gas. Nuclear energy and the usage of renewable energy sources including solar, wind, geothermal, and hydroelectricity are examples of low-carbon power sources.

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A dog barking at the sound of the postal carrier delivering mail is reacting to what type of cue?

A. External

B. Internal

Answers

Answer:

A. External

Explanation:

External stimulus includes touch/pain, vision, smell, taste, and sound.

When astronomers look at stars outside of our galaxy, they have noticed that the color of the stars appears to be shifted slightly to the red end of the visible spectrum; this means that the wavelength of the light coming from those distant stars is longer than expected. If this red shift is assumed to be caused by the relative motion of the stars, what does that tell us about their movement?

They are moving toward the Earth.
They are moving away from the Earth.
They are not moving relative to the Earth.
Both the Earth and the star are stationary.

Answers

Answer:

moving away

Explanation:

They are moving AWAY from earth making the wavelengths longer than what was emitted....this is called 'Red Shift'.... longer waves is a shift toward the RED end of the spectrum ..   (ROY G BIV)

A quartz crystal vibrates with a frequency of 33,621 Hz. What is the period of the crystal's motion?
______ ms

Answers

Answer:

.0297 ms

Explanation:

period = 1 / f = 1 / 33621 = .0000297 seconds= .0297 ms

What did Hubble discover about the universe?
A. That it is expanding.
B. None of these
C. That it is smaller than previously thought.
D. That it is shrinking.

Answers

Answer:

A. That it is expanding.

A. that it is expanding

A planes average speed between two cities is 600 km/h. If the trip takes 2.5 hours ,how far does the plane fly?

Answers

Multiply 609 by 2.5 and it will be 1,500km

What controls how fast an object falls?

Answers

Answer:

gravity

Explanation:

as the earth rotates on an axis, it causes an effect known as centripetal acceleration with is an acceleration that pulls objects towards the center of the object. in planets, we call this Gravity

Answer:

See below

Explanation:

The initial downward velocity, the acceleration of gravity and air friction all play a part

Which type of evidence was used to tie Ted Bundy to the murder of Lisa Levy?

Answers

Explanation:

identified by one of the Chi Omega survivors as the assailant, and hair and fiber evidence tied him to the Leach murder. His trial for the Florida attacks in June 1979 was the first-ever nationally televised trial in the United States.

What is the relationship between Earth’s revolution and seasons. What evidence can you provide to explain how Earth’s revolution determines the seasons?

Think!!!! Write Claim, Reasoning and add evidence.

Answers

Answer:

Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.

Explanation:

It's all about Earth's tilt!

Claim:- Many people believe that Earth is closer to the Sun in the summer and that is why it is hotter. And, likewise, they think Earth is farthest from the Sun in the winter.

Although this idea makes sense, it is incorrect.

It is true that Earth's orbit is not a perfect circle. It is a bit lop-sided. During part of the year, Earth is closer to the Sun than at other times. However, in the Northern Hemisphere, we are having winter when Earth is closest to the Sun and summer when it is farthest away! Compared with how far away the Sun is, this change in Earth's distance throughout the year does not make much difference to our weather.

There is a different reason for Earth's seasons.

Reasoning:- earth's axis is an imaginary pole going right through the center of Earth from "top" to "bottom." Earth spins around this pole, making one complete turn each day. That is why we have day and night, and why every part of Earth's surface gets some of each.

Earth has seasons because its axis doesn't stand up straight.

But what caused Earth to tilt?

Long, long ago, when Earth was young, it is thought that something big hit Earth and knocked it off-kilter. So instead of rotating with its axis straight up and down, it leans over a bit.

By the way, that big thing that hit Earth is called Theia. It also blasted a big hole in the surface. That big hit sent a huge amount of dust and rubble into orbit. Most scientists think that that rubble, in time, became our Moon.

As Earth orbits the Sun, its tilted axis always points in the same direction. So, throughout the year, different parts of Earth get the Sun’s direct rays.

Sometimes it is the North Pole tilting toward the Sun (around June) and sometimes it is the South Pole tilting toward the Sun (around December).

It is summer in June in the Northern Hemisphere because the Sun's rays hit that part of Earth more directly than at any other time of the year. It is winter in December in the Northern Hemisphere, because that is when it is the South Pole's turn to be tilted toward the Sun.

Earth's lopsided orbit

Evidence- Earth's perihelion (point closest to Sun) = 91,400,000 miles from Sun

Earth's aphelion (point farthest from Sun) = 94,500,000 miles from Sun

While that is a difference of over 3 million miles, relative to the entire distance, it isn’t much.

And, believe it or not, aphelion (when Earth is farthest from the Sun) occurs in July, and perihelion (when we are closest) occurs in January. For those of us who live in the Northern Hemisphere where it's summer in July and winter in January, that seems backwards, doesn't it? That just goes to prove that Earth's distance from the Sun is not the cause of the seasons.

Answer:

Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.

Hope it helps..

How are u? I hope u doing well ااااااااااااااااا

Answers

Answer:

Hey

I'm alright and you

I also hope you're doing well

How long will it take for a spacecraft traveling at
15,000 Kilometers per hour to cover the distance from the
Earth to the Moon, which is about 250,000 Kilometers?

Answers

Answer:

16  2/3 hr

Explanation:

250 000 km / 15 000 km/hr =  16 2/3 hours

Two satellites some distance apart exert a gravitational force on each other of 20 newtons (N). Each satellite has a mass of 300 kilograms (kg). If the satellites remained tho same
distance apart but each had a mass of 600 kg, what would the force of gravity between them be?

•5N
•10N
•40N
•80N

Answers

If the masses of the objects are both doubled to 600 kg each, the force between them will be 40N.

Newton's law of Universal Gravitation

The Newton's law of universal gravitation states that, force of gravity between two objects is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

As such;

F = Km1m2/r^2

If the masses of the objects are doubled but the distance of separation remains the same, it follows that the force between the masses will also be doubled.  Hence, if the masses of the objects are both doubled to 600 kg each, the force between them will be 40N.

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A book weighing 1.2 kg stands on the table. We place our hand on the book with a force of 15.3 N. The reaction force of the table base to the book is: a) 12 N b) 15 N c) 22 N d) 27 N e) 33 N​

Answers

Answer:

27 N

Explanation:

It will be the force of the book  1.2 kg * 9.81 m/s^2   PLUS the force of your hand  15.3 N    ..... it will be in the OPPOSITE direction

1.2 * 9.81 + 15.3 = ~27.1 N

A foul ball is hit straight up into the air with a speed of 25 m/s.

how long is it in the air?

Answers

Answer:

31.25 m

Explanation:

The foul ball experiences upward linear motion thus:

initial velocity(u) - 25m/s

final velocity(v) - 0m/s

velocity due to gravity - -10m/s2 (since the ball moves upwards)

Hence:

v2=u2+2(gs)

0=625+2(-10*s)

0=625-20s

-625=-20s

s=31.25m

If the ball reaches the ground in 8 seconds and the velocity of the ball before it hits the ground is 78.4. What is its acceleration?
also please explain how if you can

Answers

Answer:

9.8 m / s^2

Explanation:

Assuming free fall====> there is no initial downward/upward velocity

  Assuming metric units   78.4  m/s

 vf = a t

 78.4 = a (8)     shows     a = 9.8 m/s^2

What is specific heat capacity??​

Answers

Specific heat capacity is the unit mass of a substance is defined as the amount of heat absorbed (kg) (J), when its temperature rises 1 K (or 1 ° C), and its units J / ( kg K) or J / happen. (Kg ° C).

Hope it helps u

Stay safe, stay healthy and blessed.Have a good day !Thank you

#Jennifer

Answer:

The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).

A object moving in 3m radius circular path,
when it reaches the beginning point again, then
the displacement in m equals:

Answers

Answer:

0

Explanation:

Physically:

Beginning point means initial point so you're basically going into circles which means a displacement of zero.

Mathematically:

[tex]d = x _{f} - x _{i}[/tex]

We know

[tex]x _{f} =x _{i}[/tex]

So we get

[tex]d = x _{f} - x _{f}[/tex]

[tex]d = 0[/tex]

PLEASE HELP 100 POINTS! Please fill in the scale distance from sun and diversion factor, listing off the numbers works

Answers

Solved your another question same like this with scaling to Cm this time we go with metre(m)

Scale factor

1km=10³m1m=10^{-3}km

Mercury

58000m

Ven us

108000m

Earth

150000m

Mars

228000m

Jupiter

778000m

Saturn

1430000m

Uranus

2870000m

Neptune

4500000m

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The transaction and code set rule established a code set used to encode all of the following except can someone help me please Is Miranda v. Arizona a case law ?? Write a 5 paragraph essays and in the first paragraph write about Lebron james, Muhammad Ali, Jackie Robinson, Surgar Ray (Boxer), Malcolm X, MLK, Roy Campanella,Tupac Shakur, and include Aids in in. then write about Blavk excellence and im each paragraph have 3 supporting details then end it with a conclusion paragraph!! THANK YOU SO MUCH work out value of a The nutrient losses that occur as a result of food irradiation are _____ those lost in canning or refrigerated storage. Trade in China increased during the postclassical era because: Consider parallelogram ABCD below.Use the information given in the figure to find m of angle B, x, and m of angle BCA. How did Rosa Parks challenge Plessy v. Ferguson, which established the separate but equal doctrine? Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JKRound your answer to the nearest tenth if necessary. Consider the figure.Find the area of the composite figure shown to the nearest half unit. A quadrilateral with vertices at A(4,-4), B(4, -16), C(12, -16), and D(12, -4) has been dilated with a center at theorigin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation?1/91/339 What is the sum of the angles in the diagram? Please select the word from the list that best fits the definition non-religious. Select from the drop-down menu to correctly complete the statement.A _____ is a group of individuals of the same type that live in a particular area. Anujan and Piragavy are pulling on either side of a box with ropes. Anujan rope pulls with a force of 35 N [35 N of W], while Piragavy pulls with a force of 11 N [41 S of E]. There is a frictional force of 6 N [s] opposing the motion. Calculate the following: The Fnet and the acceleration of the object. What aspect of a story is most likely to change when presented in a different medium?A. The audience's perceptionB. The main charactersC. The stakes of the conflictD. The climax of the plot Find mI need helppp pleasee !!! Which is correct???? It would be really helpful if someone answered this.