Answer:
C) 490
Explanation:
Normal force = mass × gravitational acceleration
50kg × 9.8
490 N
Block m₁ has a mass of 4.0 kg and m₂ has a mass of 2.0 kg. The coefficient of friction between m₂ and the horizontal plane is 0.50. The inclined plane is smooth. Find (a) the tension in the string and (b) the acceleration of the blocks.
The free body diagram for block 2 is:
(Notice how we establsh the postive x-direction to the left since we expect the block to move to the left)
Now for block 1 we have:
(Once again we establish the positive x-direction to the left)
The equations of motion for block 1 are:
\(W_1\sin \theta-T=m_1a\)\(N_1-W_1\cos \theta=0\)The equations for block 2 are:
\(T-F_f=m_2a\)\(N_2-W_2=0\)We know that the force of friction is equalt to the coefficient of friction multiplied by the normal force, then for the second block we have:
\(T-\mu W_2=m_2a_{}\)With this we have the following system for the unknowns:
\(\begin{gathered} W_1\sin \theta-T=m_1a_{} \\ T-\mu W_2=m_2a \end{gathered}\)From the first equation we have that:
\(T=W_1\sin \theta-m_1a\)plugging this in the second equation we have:
\(\begin{gathered} W_1\sin \theta-m_1a-\mu W_2=m_2a \\ W_1\sin \theta-\mu W_2=m_1a+m_2a \\ a=\frac{W_1\sin 30-\mu W_2}{m_1+m_2} \\ a=\frac{(4)(9.8)\sin 30-(0.5)(2)(9.8)}{4+2} \\ a=1.63 \end{gathered}\)Therefore the acceleration is 1.63 meters per second per second. (Notice how it is positive, this means that the blocks move to the left as we expected)
Now we plug the value of the acceleration for the equation for the tension:
\(\begin{gathered} T=(4)(9.8)\sin 30-(4)(1.63) \\ T=13.07 \end{gathered}\)Therefore the tension is 13.07 N
please help me to find out my mistake
From the calculation, the speed of sound at 10 K is 63.5 m/s.
What is the speed of sound?We know that the speed of sound is directly proportional to the temperature of the body thus we can write;
V1/V2 = √T1/T2
Then;
T1 = 0 degrees or 273 K
T2 = 10 K
V1 = 330 m/s
V2 = ?
330/T2 = √273/10
330/T2 = 5.2
330 = 5.2T2
V2 = 330/5.2
V2 = 63.5 m/s
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When a group has a question about their ohmmeter,
who is the best person to ask for help?
the student with the highest grades
a student whose lab group is finished
the instructor who is leading the lab
a student whose mom is an electrician
Answer:
c
Explanation:
Answer:
C
Explanation:
Gamma-ray bursts from space were first detected by the ___________ satellites launched by the Defense Department (and later this information was shared with American scientists.) In 1991, NASA launched the __________ Observatory to identify and study more gamma ray bursts. This space observatory revealed that the bursts were distributed _________________ around the sky; they did not come more often from the plane of the Milky Way Galaxy. These early observations could not pinpoint the location of the gamma-ray bursts because they did not have sufficient________________ It was not until the launch of ____________________the satellite in 1996 that we got precise enough locations so that other telescopes could find the afterglow of a burst. These observations showed that the bursts were located in ________________
Gamma-ray bursts from space were first detected by the Vela satellites launched by the Defense Department (and later this information was shared with American scientists.) In 1991, NASA launched the Compton Gamma Ray Observatory to identify and study more gamma-ray bursts.
This space observatory revealed that the bursts were distributed isotropically around the sky; they did not come more often from the plane of the Milky Way Galaxy. These early observations could not pinpoint the location of the gamma-ray bursts because they did not have sufficient positional accuracy. It was not until the launch of the BeppoSAX satellite in 1996 that we got precise enough locations so that other telescopes could find the afterglow of a burst. These observations showed that the bursts were located in other galaxies.
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the overall mechanism for degradation of a eukaryotic mrna is generally initiated by what process?
The overall mechanism for degradation of a eukaryotic mRNA is generally initiated by the process of deadenylation.
The mechanism for degradation of a eukaryotic mRNA involves the removal of the poly(A) tail at the 3' end of the mRNA molecule. This deadenylation step is followed by decapping of the mRNA at the 5' end, which is then rapidly degraded by the exonuclease complex known as the exosome. Other factors, such as RNA-binding proteins and microRNAs, can also play a role in mRNA degradation.
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In the figure a solid sphere of radius a=3.80 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+3.59fC; the shell has a net charge q2=−q1. What is the magnitude of the electric field at radial distances (a) r=0 cm, (b) r=a/2.00, (c) r=a, (d) r=1.50a, (e) r=2.30a, and (f) r=3.50a ? What is the net charge on the (g) inner and (h) outer surface of the shell?
Electric field at radial distances
(a) r=0 cm, (b) r=a/2.00 (c) r=a, (d) r=1.50a, (e) r=2.30a, and (f) r=3.50a :
Part a: At r = 0 cm, the electric field is zero as no point charge is present.
Part b: At r = a/2.00, the electric field inside the sphere (r < a) is calculated as below.
\(E = (1/4πε0) q1/a^3 × r\)
where,ε0 is the permittivity of free space, q1 is the charge on the sphere= 3.59
\(fC = 3.59 × 10^-15 C.\)
Putting the values, we getE = 1.04 × 10^9 N/C\(1.04 × 10^9 N/C\)
Part c:
At r = a, the electric field is just outside the sphere (r > a) and is calculated using the same formula as for Part b.
\(E = (1/4πε0) q1/r^2\)
where,ε0 is the permittivity of free space, q1 is the charge on the sphere= \(3.59 fC = 3.59 × 10^-15 C.\)
Putting the values, we getE =\(2.77 × 10^8 N/C\)
Part d:
At r = 1.50a, the electric field is calculated using Gauss's law where we take a Gaussian surface around the entire system.
Electric flux = q1 + q2
We know that q2 =\(-q1q1 = 3.59 fC = 3.59 × 10^-15 C q2 = -3.59 fC = -3.59 × 10^-15 C\)
Electric flux = 0Electric flux through the Gaussian surface is zero since there is no charge enclosed by it.
electric field at r = 1.50a is zero.
Part e: At r = 2.30a, the electric field is just outside the shell (b < r < c).
Thus the electric field can be calculated as below:
\(E = (1/4πε0) q2/r^2\)
where,ε0 is the permittivity of free space, q2 is the charge on the shell= \(-3.59 fC = -3.59 × 10^-15 C.\)
Putting the values, we getE = 1.89 × 10^8 N/C
Part f: At r = 3.50a, the electric field is outside the shell (r > c) and is calcule formula as for Part e.
calcuated using the samE =
\((1/4πε0) q2/r^2\)
where,ε0 is the permittivity of free space, q2 is the charge on the shell= \(-3.59 fC = -3.59 × 10^-15\)
C. Putting the values
we getE = 4.67 × 10^7 N/C
Net charge on the (g) inner and (h) outer surface of the shell:
Net charge on the inner surface of the shell =\(q1 = 3.59 fC = 3.59 × 10^-15 C\)
Net charge on the outer surface of the shell = \(q2 - q1 = -2q1 = -7.18 fC = -7.18 × 10^-15 C\)
The net charge on the inner surface of the shell is 3.59 × 10^-15 C and the net charge on the outer surface of the shell is -7.18 × 10^-15 C.
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Consider a network of 8 nodes A-H as shown below. The delay vectors
received from the neighbors of node F are also shown. Use the Distance Vector Routing
algorithm to calculate the new estimated delays from node F and the lines for those estimates.
The delay vector for node F as follows:
F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]
This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.
THE DISTANCE VECTOR ROUTING ALGORITHMThe Distance Vector Routing algorithm, also known as Bellman-Ford algorithm, is used to calculate the shortest path from a given source node to all other nodes in a network.
To calculate the new estimated delays from node F, we first initialize the delay vector for node F as follows:
F: [0, ∞, ∞, ∞, ∞, ∞, ∞, ∞]
Next, we update the delay vector for node F using the delay vectors received from its neighbors. For example, using the information provided in here, we can update the delay vector for node F as follows:
F: [5, 2, ∞, ∞, ∞, 0, ∞, ∞]
This means that the estimated delay from node F to node A is 5, to node B is 2 and to node F itself is 0. And all other nodes are unreachable.
We then repeat this process of updating the delay vector until the estimates converge and no further updates are required.
This is a simplified process and in real world scenario there will be more number of nodes and edges, and also the cost of each edge will be different.
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a ball is dropped from a distance 5 m above the ground, and it hits the ground with a certain speed. if the same ball is dropped from a distance 10 m above the ground, its final speed will be
The final speed of the ball dropped from a distance of 10 meters will be 49 m/s.
The final speed of the ball dropped from a distance of 10 meters will be higher than the final speed of the ball dropped from a distance of 5 meters. This is because of the effect of gravity on the ball.
As the ball falls, gravity will pull it toward the ground, giving it a greater speed as it falls further. This increase in speed is known as the "acceleration due to gravity."
When the ball is dropped from 10 meters, the ball will fall faster because of the increased distance it has to travel, allowing gravity to pull it down more quickly.
By the time it reaches the ground, it will have reached a higher velocity.
The equation for this acceleration due to gravity is:
Vf = Vi + g × t
Where Vf is the final speed, Vi is the initial speed, g is the acceleration due to gravity and t is the time.
Therefore, in order to calculate the final speed of the ball dropped from 10 meters, we can use this equation. Assuming the initial speed of the ball is zero and the acceleration due to gravity is 9.8 m/s2, we get:
Vf = 0 + 9.8 × (10/2)
Vf = 49 m/s
So, the final speed of the ball dropped from a distance of 10 meters will be 49 m/s.
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imagine a unit of time called the cosmic year. in the entire existence of the universe, only one cosmic year has passed. Astronomers estimate that the age of the universe is 13.8 billion normal years. if a cosmic year consists of 365 cosmic days, calculate how many earth years a cosmic day is equivalent to.
A cosmic day is equivalent to approximately 13.8 billion Earth years.
To calculate how many Earth years a cosmic day is equivalent to, we need to determine the length of a cosmic year in Earth years and then divide it by 365 to find the duration of a cosmic day.
Given that the age of the universe is estimated to be 13.8 billion normal years, and only one cosmic year has passed in that time, we can conclude that a cosmic year is equal to 13.8 billion normal years.
To convert this into Earth years, we multiply the length of a cosmic year by 365, since there are 365 days in a normal year.
13.8 billion normal years * 365 = 5.04 trillion Earth years.
Now, to find the duration of a cosmic day, we divide the length of a cosmic year in Earth years by 365 (the number of cosmic days in a cosmic year).
5.04 trillion Earth years / 365 = 13.8 billion Earth years.
Therefore, a cosmic day is equivalent to approximately 13.8 billion Earth years.
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which event is part of a convince part of a current in the air
A. warm air sinks
B. cool air rises
C. warm air swirls
D. cool air sinks
Answer:
D
Explanation:
Cool air sinks because it's denser and warm rises because it's less dense.
This is the principle you have in your air conditioning.
As the air is cooled it keeps falling that's why it's necessary to tilt the vents of of an AC at 45° so that the cold air would be well circulated.
Is a chemical formula and chemical equation the same?
Answer: No
Explanation:
A chemical for formula is combined of atomic that is has a chemical compounds
1. All electric heating systems do not depend on fossil fuels for energy production.
False
True
2. Energy efficient light bulbs are about 50% more efficient than standard light bulbs.
False
True
3. A heat pump uses electricity
to run a small compressor.
to burn fuel.
to generate heat.
Answer:
true false to run a small compressor
False
True
True
The statement "All electric heating systems do not depend on fossil fuels for energy production" is false. While electric heating systems do not directly burn fossil fuels like gas furnaces, they still rely on electricity which is often generated from fossil fuels such as coal and natural gas.
The statement "Energy efficient light bulbs are about 50% more efficient than standard light bulbs" is true. Energy efficient light bulbs, such as LED bulbs, use up to 80% less energy than traditional incandescent bulbs to produce the same amount of light.
The statement "A heat pump uses electricity to run a small compressor" is true. Heat pumps are electrical devices that use a small amount of electricity to move heat from one location to another. They do not generate heat by burning fuel.
May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!
5.
why does the pointer rotate?
Answer: find the answer in the explanation.
Explanation:
From the experiment set up in the diagram, the pointer is resting on the drinking straw while the rod is resting on the drinking straw.
When the rod is being heated through the bursen burner, there will be linear expansion in the rod. As the rod increases its length, this causes the drinking straw to roll and thereby causing the pointer to rotate.
The pointer therefore rotates because of the thermer expansion that happen in the rod due to the heat from the bursen burner.
The rate of change in position at a given point in time
Answer:
Velocity
Explanation:
The rate of change in position at a given point in time is called velocity.
(Select all that apply.)
Examples of potential energy are a(n)
n stretched rubber band
boulder perched on the edge of a cliff
compressed spring
car coming to a stop
elevator descending from the second floor to the first
Answer:
boulder perched...
compressed spring
Hello,
So I have been trying to do this question but I can't figure out how to do it as there appears to be too many variables to solve for. The question is =
"A train travelling at constant speed through a station. To a person standing on the platform, the note emitted from the horn on the train appears to change from 1000 Hz to 800 Hz. If the speed of sound in air is 340 m s¹, find i) the speed at which the train is travelling and ii) the actual frequency of the note emitted by the train. "
I would appreciate a detailed step by step answer.
Thanks
the calculated frequency is 932 Hz.
Even for sensors positioned at significant track offsets, the computation method integrates three different speed calculation techniques to produce estimates for arbitrary train speeds. The second technique is comparable, but it combines a running rms with a previously created "dominant frequency method." The third technique calculates train speed using regression analysis and an analytical vibration frequency prediction model.
given-
train is travelling at a constant speed. f=(π v/L)
The actual frequency of the note emitted by the train.
By applying Doppler effect,
n'=n( v + vs/ v-vs )
=200( 340+220 / 340-220 )
=200( 560/120)
=932 Hz
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a cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration. after 12 s, the wheels have made 68 rev. what is the angular velocity of the wheels after 12 s in rad/s ?
The angular velocity of the wheels after 12 seconds is approximately 35.5 radians per second.
The problem states that the cyclist's bike has a constant angular acceleration, and after 12 seconds, the wheels have made 68 revolutions. We need to find the angular velocity of the wheels in radians per second.
First, we can use the formula for angular acceleration:
α = Δω / Δt
where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the time interval. We know that the angular acceleration is constant, so we can rearrange the formula to solve for Δω:
Δω = α x Δt
Now we can plug in the given values:
α = ? (unknown)
Δt = 12 s
Δω = ? (unknown)
To find the angular acceleration, we can use the formula for the number of revolutions:
θ = ω x t
where θ is the angle (in radians), ω is the angular velocity (in radians per second), and t is the time (in seconds). We know that after 12 seconds, the wheels have made 68 revolutions, so:
68 rev = θ = 2π x 68 = 136π radians
t = 12 s
Now we can solve for the angular velocity:
ω = θ / t = (136π radians) / (12 s) = 11.3π radians per second
Therefore, the angular velocity of the wheels after 12 seconds is approximately 35.5 radians per second.
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A bike accelerates uniformly from rest to a speed of 3.55 m/s over 17.7m . what is the acceleration of the bike
Answer:4.9mph per meter
Explanation:
A machine raised a load of 360N through a distance of 0.2m. The effort, a force of 50N moved 1.8m during the process. Calculate the efficiency of the machine.
Select one:
a. 40%
b. 100%
c. 80%
d. 60%
Answer:
c. 80%
Explanation:
Given;
load raised by the machine, L = 360 N
distance through which the load was raised, d = 0.2 m
effort applied, E = 50 N
distance moved by the effort, e = 1.8 m
The efficiency of the machine is calculated as follows;
\(Efficiency = \frac{ 0utput \ work }{1nput \ work} \times 100\% \\\\Efficiency = \frac{Load \ \times \ distance \ moved \ by \ load }{Efort \ \times \ distance \ moved \ by \ effort} \times 100\%\\\\Efficiency = \frac{360 \times 0.2}{50 \times 1.8} \times 100\%\\\\Efficiency =80\%\)
Therefore, the efficiency of the machine is 80%
I need help finding the average acceleration fo tyler and bree
Find a generating function for the number of integer solutions of 2x 3y 7z = r with (a) x, y,z ≥ 0 (b) 0 ≤ z ≤ 2 ≤ y ≤ 8 ≤ x
The coefficient of xᵃ in F(x, y, z) gives us the number of solutions to the equation 2x 3y 7z = a with x, y, and z non-negative variables is given as,
(a) F(x, y, z) = 1/((1 - x²)(1 - x³)(1 - x⁷)) , (b)F = x⁸(1 - x²)/(1 - x)² * (1 - x¹⁴)/(1 - x⁷)
Here, used generating functions to find the number of integer solutions to the equation 2x 3y 7z = r. Let f(x) be the generating function for the number of solutions with x non-negative variables, g(y) be the generating function for the number of solutions with y non-negative variables, and h(z) be the generating function for the number of solutions with z non-negative variables.
(a) To find the generating function for the number of solutions with x, y, and z non-negative variables, we can multiply the generating functions together:
F(x, y, z) = f(x) g(y) h(z)
The coefficient of xᵃ in F(x, y, z) gives us the number of solutions to the equation 2x 3y 7z = a with x, y, and z non-negative variables.
To find the generating functions f(x), g(y), and h(z), we can use the formula for a geometric series:
f(x) = 1 + x² + x⁴+ x⁶+ ...
= 1/(1 - x²)
g(y) = 1 + x³ + x⁶ + x⁹+ ...
= 1/(1 - x³)
h(z) = 1 + x⁷ + x¹⁴ + x²¹ + ...
= 1/(1 - x⁷)
Substituting these generating functions into the equation for F(x, y, z), we get:
F(x, y, z) = 1/((1 - x²)(1 - x³)(1 - x⁷))
The coefficient of xᵃ in F(x, y, z) gives us the number of solutions to the equation 2x 3y 7z = a with x, y, and z non-negative variables.
(b) To find the generating function for the number of solutions with 0 ≤ z ≤ 2, 2 ≤ y ≤ 8, and 8 ≤ x, we can use the following generating functions:
f(x) = x⁸ + x⁹ + x¹⁰ + ...
= x⁸/(1 - x)
g(y) = x² + x³ + ... + x⁷
= (x⁸ - x⁷)/(1 - x)
h(z) = 1 + x⁷ + x¹⁴
= 1 + x⁷(1 + x⁷)
= (1 - x¹⁴)/(1 - x⁷)
The generating function for the number of solutions is given by:
F(x, y, z) = f(x) g(y) h(z)
= (x⁸/(1 - x))((x⁸ - x²)/(1 - x))((1 - x¹⁴)/(1 - x⁷))
= x⁸(1 - x²)/(1 - x)² * (1 - x¹⁴)/(1 - x⁷)
The coefficient of xᵃ in F(x, y, z) gives us the number of solutions to the equation 2x 3y 7z = r with 0 ≤ z ≤ 2, 2 ≤ y ≤ 8, and 8 ≤ x.
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A sound wave has a speed of
330 m/s and a wavelength of
0.372 m. What is the frequency
of the wave?
(Unit = Hz)
Explanation:
use the formula
speed = frequency x wavelength
330 = frequency x 0.372
330 / 0.372 = frequency
887 Hz = frequency
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When you switched the direction of the voltage on the battery the magnetic compass needle moved. Which of the following is the best explanation for the movement of the compass needle?
A- The copper wire magnetized the compass needle.
B- The compass needle magnetized the copper wire.
C- The current in the wire produced a magnetic field.
D- The compass needle moved due to the Earth's magnetic field and was unaffected by the electromagnet.
The correct explanation for the movement of the compass needle when the direction of the voltage on the battery is switched is (C) The current in the wire produced a magnetic field.
What is voltage?Voltage, also known as electric potential difference, is a measure of the electric potential energy per unit of charge in an electrical circuit. It is the force that drives the flow of electric charge in a circuit. Voltage is usually measured in volts (V) and is represented by the symbol "V".
When an electric current flows through a wire, it creates a magnetic field around the wire. The direction of the magnetic field depends on the direction of the current flow.
This magnetic field interacts with the Earth's magnetic field and causes the compass needle to move. Therefore, as the direction of the current in the wire changes when the voltage on the battery is switched, the direction of the magnetic field around the wire also changes, causing the compass needle to move.
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can somebody helppp me pls thank you:)))))
HEY HEY HEY HEY
Explanation:
HEY HEY HEY HEY HEY
Hey can anyone pls pls pls answer dis i rlly need it i only need the conclusion!!
Explanation:
since oil needs more boiling time and a higher boiling temperature the oil would have to be in the pot longer than the water if it needs to be boiled longer that is why the blue line for oil temp. is significantly higher than that of the water temp.
A pendulum with a length of 1 meter is released from an initial angle of 15.0° after 1000s its amplitude has been reduced by friction to 5.50° what is the value of b/2m?
Answer:
0.366×10^{-3} / s
Explanation:
θ = θmax e^{-bt/2m}
Given that
θ = 5.50°
θmax = 15.0°
So that we have
ln (θ / θmax) = -bt /2m
= - ln(5.50°/ 15.0°) / 1000s = b /2m
= b / 2m = 0.366×10^{-3} / s
A ball with 5j of GPE falls to the ground. What is the KE of the ball at the moment it hits the ground
Answer:
6j
uuuuuuus Jessica unmold sun wu disco if u duh tastes jealous happens
What are some possible sources of motion that could be harnessed for a generator?
Explanation:
There are multiple other sources of kinetic energy that can be harnessed for electricity. Wind-powered turbines can create energy through windmills or wind-power generators. Wind energy is harnessed into kinetic energy by turning panels that are designed and angled to catch as much wind as possible.
Which of the following is an abiotic factor in a biome?(1 point)
Responses
birds
water
insects
trees
The one that is an abiotic factor in a biome is option B. water
What is an abiotic factor?An abiotic factor in a biome is a non-living physical or chemical component of an ecosystem that affects the survival, growth, and behavior of the organisms that live in it. Examples of abiotic factors in biomes include temperature, light, moisture, soil type, topography, and atmospheric gases such as carbon dioxide and oxygen.
Therefore, the one that is an abiotic factor in a biome is option B. water
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will the subsequent motion be a clockwise or counterclockwise orbit? will the subsequent motion be a clockwise or counterclockwise orbit? clockwise counterclockwise
Most celestial bodies in our solar system, such as the Sun, planets, and asteroids, revolve against the clock i.e., counterclockwise. This is because of the early circumstances in the gas and dust cloud that gave rise to our solar system.
This gas and dust cloud started rotating as it started to disperse. After then, there will be a clockwise orbit. Not only do all of the rocky planets circle in a counterclockwise direction around the Sun, but so do all of the gas giant planets. Nearly all known asteroids, kuiper belt objects, and comets also orbit the Sun in the opposite direction! As far as we are aware, the collapse of gas clouds is what creates stars.
We will end up with a disc because one way will collapse sooner because it is shorter. (Or a pancake in our "complex scientific jargon. If you mention pancake to an astrophysicist, they will understand that you are referring to this process. The planets were created from a dust disc that encircled the sun, which explains why they are all lined up and orbiting on the same basic plane. Therefore, it makes sense that planets originated in the orbit or region where dust was present.
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Correct Question:
will the subsequent motion be a clockwise or counterclockwise orbit?