The space shuttle releases a satellite into a circular orbit 630 km above the Earth.
How fast must the shuttle be moving (relative to Earth's center) when the release occurs?

Answers

Answer 1

Answer:

7,539 m/s

Explanation:

Let's use this equation to find the gravitational acceleration of this space shuttle:

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

We know that G is the gravitational constant: 6.67 * 10^(-11) Nm²/kg².

M is the mass of the planet, which is Earth in this case: 5.972 * 10^24 kg.

r is the distance from the center of Earth to the space shuttle: radius of Earth (6.3781 * 10^6 m) + distance above the Earth (630 km → 630,000 m).

Plug these values into the equation:

[tex]\displaystyle g=\frac{(6.67\cdot 10^-^1^1 \ Nm^2kg^-^2)(5.972\cdot 10^2^4 \ kg)}{[(6.3781\cdot 10^6 \ m)+(630000 \ m)]^2}[/tex]

Remove units to make the equation easier to read.

[tex]\displaystyle g=\frac{(6.67\cdot 10^-^1^1 )(5.972\cdot 10^2^4 )}{[(6.3781\cdot 10^6)+(630000 )]^2}[/tex]

Multiply the numerator out.

[tex]\displaystyle g=\frac{(3.983324\cdot 10^1^4)}{[(6.3781\cdot 10^6)+(630000 )]^2}[/tex]

Add the terms in the denominator.

[tex]\displaystyle g=\frac{(3.983324\cdot 10^1^4)}{[(7008100)]^2}[/tex]

Simplify this equation.

[tex]\displaystyle g=8.11045189 \ \frac{m}{s^2}[/tex]

The acceleration due to gravity g = 8.11045189 m/s². Now we use the equation for acceleration for an object in circular motion which contains v and r.

[tex]\displaystyle a = \frac{v^2}{r}[/tex]

a = g, v is the velocity that the space shuttle should be moving (what we are trying to solve for), and r is the radius we had in the previous equation when solving for g.

Plug these values into the equation and solve for v.

[tex]\displaystyle 8.11045189 \ \frac{m}{s^2} = \frac{v^2}{7008100 \ m}[/tex]  

Remove units to make the equation easier to read.

[tex]\displaystyle 8.11045189 = \frac{v^2}{7008100}[/tex]

Multiply both sides by 7,008,100.

[tex]56838857.89=v^2[/tex]

Take the square root of both sides.

[tex]v=7539.154985[/tex]

The shuttle should be moving at a velocity of about 7,539 m/s when it is released into the circular orbit above Earth.


Related Questions

A rectangular block measures 4.1cm by 2.8cm by 2.1cm. calculate its volume given you answer to an appropriate number of significant figures?​

Answers

Answer:

Volume =  24 cm^3

Explanation:

We recall that the volume of the box is calculated via the formula:

Volume = length * height * width

and that in a product, the number of significant figures for the result should coincide with the number of significant figures of the factor that has the least of them.

In this case, all measures have the same number of significant figures: two. so we calculate the product, and then limit the answer value to exactly two significant figures:

Volume = 4.1 cm * 2.8 cm * 2.1 cm = 24.108 cm^3, which must be rounded to two significant figures as: 24 cm^3

Answer:

Volume = 24.108cm³

Explanation:

Volume = length × breadth × height

Volume = 4.1 × 2.8 × 2.1

Volume = 24.108

In the formulas for latent heat of fusion and latent heat of vaporization, what does Q represent?

Answers

Answer:

Q is the amount of energy released or absorbed during the change of phase of the substance (in kJ or in BTU), m is the mass of the substance (in kg or in lb), and. L is the specific latent heat for a particular substance (kJ kg−1 or in BTU lb−1), either Lf for fusion, or Lv for vaporization.

I hope this helps∪ω∪

Answer:

A

Explanation:

What is the volume of a brick that is 30 cm long, 8 cm wide, and 10 cm tall?

Answers

Anwer: volume = 30×8×10 = 2400 centimeters to the power of 3

What are the effects of hot rolling on the metal grain structure?​

Answers

Answer:Mark me as the brainliset

Explanation:The rollers impart compression stresses, while squeezing the metal. These results in changes of grains, grain fragmentation, and lattice distortion. In hot rolling the coarse grains are converted into smaller grains. Care has been taken that the correct range of temperature is maintained during the process.

A circular wire loop lies inside a region of space containing a magnetic field. The direction of the magnetic field is out of the screen and parallel to the central axis of the loop. The magnitude of the magnetic field increases as a function of time. A circular loop oriented parallel to the plane of the screen lies inside a region containing magnetic field B. The field is directed out of the screen and is increasing. What is the direction of the induced current in the loop

Answers

Answer:

clockwise

Explanation:

According to the law given by Lenz, known as the Lenz law, it is said that a current induced in the circuit which is due to the change in the magnetic field and is so directed so as to oppose the change in the flux and to apply a force in the opposite direction if the force.

Here, as the magnetic field is directed out of the screen, the current flows in the direction which is clockwise in the loop and it opposes the increasing magnetic field.

The clockwise induced current will produce magnetic field in to the screen.

The light given off by an object based only on its temperature supports the
particle model of light. Which term applies to this light?
A. Blackbody radiation
B. Photoelectric effect
C. Ultraviolet
D. Constructive interference
SUBM

Answers

Answer:

A.Blackbody Radiation

Explanation:

Answer:

A. Blackbody radiation

Explanation:

what type of friction present when you wrench on a car?

Answers

Answer:Rolling friction is friction that acts on objects when they are rolling over a surface. Rolling friction is much weaker than sliding friction or static friction. This explains why most forms of ground transportation use wheels, including bicycles, cars, 4-wheelers, roller skates, scooters, and skateboards.

Explanation:

If a neutral atom has 25 protons in its nucleus. What is the number of surrounding electrons? Explain your answer.

Answers

Answer:

25 electrons.

Explanation:

In a neutral atom, the number of protons is equal to the number of electrons, therefore there are 25 protons and 25 electrons.

Final Answer: 25 electrons

Explanation/Reasoning:

Hey there!

The number of protons in the nucleus of a neutral atom would have 25 protons. This is because it is equal to the atomic number.

The number of protons is equal to the number of electrons. So for our answer, the number of atoms in a neutral atom will be 25 electrons because the neutral atom had 25 protons.

~I hope I helped you :)~

Many curves have banked turns, which allow the cars to travel faster around the curves than if the road were flat. Acutally, cars could also make turns on these banked curves if there were no friction at all. Explain this statement using the free-body diagram shown in the figure.

Answers

Answer:

the normal force that is perpendicular to the surface has a component towards the center of the curve.

Explanation:

When curves with superelevation or inclination, the normal force that is perpendicular to the surface has a component towards the center of the curve. This component is what maintains the vehicle and gives it centripetal acceleration.

Consequently, the vehicle does not need the friction force since it does not have a tendency to slide and this is zero.

before leaving earth, the mass if an astronaut is measured to be 60kg. the astronaut lands on the moon and measures the acceleration of gravity to be 1.6 m/s^2. what is the mass of the astronaut at moon?​

Answers

Answer:

The answer is 2,475$+948= add you will get the answer rn

The weight we experience on a surface is the product of our mass and acceleration due to gravity on that surface. The mass of the astronaut in earth was 60 kg . Then his mass at moon will be 9.76 kg.

What is gravitational force ?

The gravitational force is the force by which an object attracts other objects into its center of mass. Earth attracts every objects into its center. That why we are all standing on the ground.

The weight we experience on earth is due to the gravity. That is the product of mass and acceleration due to gravity of a planet is the weight on the planet.

The weight of astronaut in earth = 60 kg

acceleration due to gravity on earth = 9.8 m/s²

mass = 60/9.8 m/s² = 6.19 kg

Acceleration due gravity on moon = 1.6 m/s²

then weight on moon = 1.6 m/s² ×6.19 kg = 9.7 kg.

Therefore, the weight of the astronaut in moon will be 9.7 kg.

Find more on gravitational force:

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Please help! What kind of energy is produce by filament light?

Answers

Answer:

electrical to thermal and light

(may wanna change the answers)

and the one before that should be electrical to electrical i think

Explanation:

The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

Sadie rolls a marble down a ramp. When the marble reaches the bottom of the ramp, it then rolls across the floor. After a few seconds, the marble slows down, then stops. What caused the marble to stop? *
A Friction between the marble and the floor.
B Air pressure pushing down on the marble.
C The force of gravity pulling the marble down.
D Magnetic attraction between Earth and the marble.

Answers

The correct answer would be A.

1.
(01.04 MC)

Subtracting cellular respiration from gross primary productivity is the calculation for (3 points)
normalized difference vegetation index
secondary productivity
principle productivity
net primary productivity
2.
(01.04 MC)

Which of the following describes the calculation for net primary productivity? (3 points)
Adding primary and secondary productivity
Subtracting macronutrients from micronutrients
Multiplying gross primary productivity by cellular respiration
Subtracting cellular respiration from gross primary productivity
3.
(01.04 LC)

Slow conversion of solar energy indicates high primary productivity in an ecosystem. (3 points)
False
True
4.
(01.04 MC)

Which of the following is true of cellular respiration but not of photosynthesis? (3 points)
Cellular respiration releases oxygen gas as a product.
Cellular respiration releases energy from glucose.
Cellular respiration requires carbon dioxide and water as reactants.
Cellular respiration is a process in which glucose is formed.
5.
(01.04 LC)

What energy transfer is occurring when a plant uses energy from the sun to make sugar in fruit? (3 points)
Radiant energy is converted to stored chemical energy.
Radiant energy is converted to nuclear energy.
Thermal energy is converted to stored chemical energy.
Thermal energy is converted to nuclear energy.
6.
(01.04 MC)

Which of the following is a result of lack of visible light at deeper levels in the ocean? (3 points)
Red sea organisms would be highly visible to predators in mid-ocean depths.
Producers deep in the ocean have adaptive mechanisms to conduct photosynthesis with less light.
Productivity does not exist in deep sea environments.
Consumers engage is cellular respiration at rates substantially higher than surface consumers.
7.
(01.04 MC)

Which of the following is true of photosynthesis but not of cellular respiration? (3 points)
Photosynthesis is a process in which glucose is broken down.
Photosynthesis occurs in all organisms.
Photosynthesis releases oxygen gas as a product.
Photosynthesis requires glucose as a reactant.

Answers

Answer: net primary productivity

Explanation: i just took my test and this was correct!

Isaac Newton discovered the three laws of motion. Which example best illustrates Newton's third law of motion, which describes action and reaction forces?
O a rocket takes off from the ground
O a book slides forward on a seat when the car stops
O a heavier ball falls at the same speed as a lighter ball
O a vehicle rounds a curve and changes its acceleration

Answers

C. A heavier ball falls at the same speed as a lighter ball

The third law of motion defined the action and reaction force that the heavy ball should be fall at the same kind of the speed.

What is third law of motion?

It defined that at the time when the two bodies should be interacted so here the forces should be applied to one another that should be equivalent to the magnitude also the direction should be opposite.

Also, we can called as the action law and the reaction.

Therefore, we can conclude that the third option is correct.

Learn more about motion here: https://brainly.com/question/12742278

12 seconds after starting from rest a frewly falling cantaloupe has a speed of

Answers

Answer:

The cantaloupe has a speed of 117.6 m/s

Explanation:

Free Fall Motion

It occurs when an object falls under the sole influence of gravity. Any object that is being acted upon solely by the force of gravity is said to be in a state of free fall. Free-falling objects do not face air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The cantaloupe has been dropped from rest. We are required to find the speed after t=12 seconds.

Calculate the final speed:

vf=9.8 * 12 = 117.6 m/s

The cantaloupe has a speed of 117.6 m/s

Briefly describe the Rutherford atomic model

Answers

Answer:

The Rutherford model was made by Ernest Rutherford, to describe a atom. That is a brief explanation

Explanation:

In a physics lab experiment for the determination of moment of inertia, a team weighs an object and finds a mass of 4.67 kg. They then hang the object on a pivot located 0.180 m from the object's center of mass and set it swinging at a small amplitude. As two of the team members carefully count 129 cycles of oscillation, the third member measures a duration of 249 s. What is the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis

Answers

Answer:

The value is  [tex]I_o = 0.6257 \ kgm^2[/tex]

Explanation:

From the question we are told that  

   The mass of the object is  [tex]m = 4.67 \ kg[/tex]

   The position of the pivot from the center of the mass is  [tex]a = 0.180 \ m[/tex]

   The number of cycles of oscillation  is  [tex]n = 129 \ cycles[/tex]

     The time taken for the total oscillation is t =249 s

Generally the period of the oscillation is mathematically represented as

         [tex]T = \frac{t}{n}[/tex]

=>     [tex]T = \frac{249}{129}[/tex]

=>     [tex]T = 1.9302 \ s[/tex]

Generally the moment of inertia of the object about the end of the suspension  is mathematically represented as

    [tex]I =[ \frac{T}{2 \pi } ]^2 * [m* g * l ][/tex]

=> [tex]I =[ \frac{1.9302}{2 *3.142 } ]^2 * [4.67* 9.8 * 0.180 ][/tex]

=> [tex]I = 0.777 \ kg m^2[/tex]

Generally the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis is mathematically evaluated using the parallel axis theorem as

  =>     [tex]I_o = I- I_p[/tex]

Here  [tex]I_p[/tex] is parallel  axis contribution which is mathematically represented as

        [tex]I_p = m * l^2[/tex]

=>     [tex]I_p = 4.67 * 0.180^2[/tex]

=>     [tex]I_p = 0.1513 \ kg m^2[/tex]

So  

     [tex]I_o = I- I_p[/tex]

=>   [tex]I_o = 0.777 -0.1513[/tex]

=>   [tex]I_o = 0.6257 \ kgm^2[/tex]

What are stars made up of at the beginning?

Answers

Answer:

The stars were always made of hot gas a million miles away from here

Explanation:

I study stars

True/False: The Earth's core is completely solid, and the only liquid portion of the Earth's layers is the crust.

Answers

Answer:

true i believe

Explanation:

Answer:

true

Explanation:

true because other guy said it lol

5. The wire in consists of two segments of different diameters but made from the same metal. The current in segment 1 is I1. a. (1 pt) Compare the currents in the two segments. That is, is I2 greater than, less than, or equal to I1? Explain. b. (1 pt) Compare the current densities J1 and J2 in the two segments. c. (1 pt) Compare the electric field strengths E1 and E2 in the two segments. d. (1 pt) Compare the drift speeds vd1 and vd2 in the two segments.

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :

a) I1 = I2

b) J1 > J2

c) E 1 > E2

d) ( vd1 ) > ( vd2 )

Explanation:

a) The currents in the two segments are the same  i.e. I1 = I2  and this is because the segments are connected in series

b) Comparing the current densities J1 and J2 in the two segments

note : current density ∝ 1 / area

The area of the second segment is > the area of first segment  therefore

J1 > J2

J1 ( current density of first segment )

J2 ( current density of second segment )

c) Comparing the electric field strengths E1 and E2

 note : electric field strength ∝ current density

since current density of first segment is > current density of second segment  and conductivity of the materials are the same hence

E 1 > E2

d) Comparing the drift speeds Vd1 and Vd2

( vd1 ) > ( vd2 )

this because  ; vd ∝ current density

Currents in the two segments are equal. Current densities, electric field strengths and drift speeds of the first segment are greater than the second segment.

What is electric field?

The electric field is the field, which is surrounded by the electric charged. The electric field is the electric force per unit charge.

The wire in consists of two segments of different diameters but made from the same metal.

a. Compare the currents in the two segments.

The current in segment 1 is [tex]I_1[/tex] and the current in segment 2 is [tex]I_2[/tex]. As, the segments are connected in the series connection. Thus, the value of both the currents will be equal.

[tex]I=I_1=I_2[/tex]

b. Compare the current densities J1 and J2 in the two segments.

The current density is total electric current which is flowing in a unit cross sectional area. Current density is inversely p[proportional to the cross sectional area.

The cross-sectional area of the second segment is greater than the first one as shown in the image attached below.

Thus, the current densities of first segment will be J1 greater than the current density of second segment J2.

[tex]J_1 > J_2[/tex]

c. Compare the electric field strengths E1 and E2 in the two segments.

The current density of the first segment is greater than the second one. Thus, the electric field of the first segment will also be greater than the second one for the same material.

[tex]E_1 > E_2[/tex]

d. Compare the drift speeds vd1 and vd2 in the two segments.

Current density is directly proportional to the drift velocity. As the current densities of first segment is greater than the current density of second segment.Therefore, there drift speed,

[tex]v_{d1} > v_{d2}[/tex]

Hence, the currents in the two segments are equal. Current densities, electric field strengths and drift speeds of the first segment are greater than the second segment.

Learn more about electric field here;

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Which is true of low resistance wires

Answers

Answer:

the cooler the wire, the less the resistance

10. A 90 kg box is sliding across a surface at a constant velocity while experiencing a rightward applied
force of 40 N. Calculate the force of friction acting on the box.
A. -40N
B. +40N
C.-2.5 N
D. 0 N

Answers

If the box is moving at constant velocity, net force must be zero, so:

F + fr = 0

fr = -F

fr = -40 N

I’m pretty sure that the answer is D

What are the factors affect the Electric forces between two charges and What is the relationship between each factor and the Electric force ?

Answers

Explanation:

If the two charges are point charges - i.e., they don't have a size - the force between these charges depends on the

• Magnitude if each charge, q1 and q2

• Sign of each charge (+ or -)

• Distance between the charges, r

This is essentially Coulomb’s Law:

FE = (kq1q2)/r2

For collections of charges, you need to find the electric field E, and then use this fields to find a force on a small test charge q in the field. The test charge is always small to help you map the electric field, but not disturb it.

Which example provides a complete scientific description of an object in motion?

(A) The hiker followed the north trail a distance of two kilometers in thirty minutes

(B) The tiger had to run at 50 kilometers per hour across the field to catch the zebra

(C) The hockey player sent the puck flying toward the north goal to score the winning point

(D) The vibration of the jackhammer broke through the south-facing rock in under 10 seconds

Answers

Answer:

C

Explanation:

it explains how an object that was in motion continued motion after the force

Developing study routines is a way to organize
a. Yes
b. No

Answers

Answer:

a. yes

Explanation:

................

how is solar impulse is different than conventional airplane

Answers

Answer:

Solar Impulse is a Swiss long-range experimental solar-powered aircraft project and Conventional Aircraft are the atmosphere-only aircraft that have been around since the Wright Flyer's first takeoff. Though modern craft are much more advanced and capable than that early model, Conventional Aircraft have been superseded in modern times by the AeroSpace Fighter, which can operate in both atmosphere and space.

Explanation:

In a step-down transformer the secondary coil is made of thick copper coil.
Explain
(2 marks)​

Answers

Answer:

In a step-up transformer, the secondary coil is made of same wire as the primary coil but it is rolled with the presence of the insulated which never conduct the opposite current to the coil.

Hence it function property without meeting any fire and other problem.

Even if you want to get clear ideas, then you have to go with official website.

When a transformer is in operation, there are ac currents in primary and secondary coils. ... This is the most important for the high current winding (the secondary coil of a step-down transformer). Thick copper wire is used for this winding, because thick wire of low resistivity has a low resistance.

A chair is thrown upward from a balcony that's 96 ft in the air, at an initial velocity of 16 ft/s.



How many seconds does the chair take to reach its highest height?

Answers

Answer:

t = 6 s

Explanation:

Given that,

A chair is thrown upward from a balcony that's 96 ft in the air, d = 96 ft

The initial velocity of chair, u = 16 ft/s

We need to find how many seconds does the chair take to reach its highest height. Let the time is t.

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{96\ ft}{16\ ft/s}\\\\=6\ s[/tex]

Hence, the chair take 6 seconds to reach its maximum height.

what energy conversion takes place when a solar cell is used to light a street lamp? ​

Answers

Answer:

Explanation:

Electrical energy is the correct answer

Answer:

Is B

Explanation:

psychology: Echoic sensory memory is used when a lightning bolt flashes across the sky. Please select the best answer from the choices provided T F

Answers

Answer:

The answer is False

Explanation:

Echoic sensory memory is used when a lightning bolt flashes across the sky. This is false statement.

What is echoic sensory memory?

Echoic memory is a type of sensory memory that registers and stores auditory information (sounds) until it is processed and understood (Carlson, 2010). This sensory store can hold a large amount of auditory information for 3 to 4 seconds (Clark, 1987).

Echoic Memory Examples:

While listening to music: When we listen to music, our brains recall each note briefly and connect it to the next note. As a result, the brain recognizes the note sequences as a song.Conversation: When we hear spoken language, our echoic memories retain every individual syllable. Our brains understand words by associating each syllable with the one before it.

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