Answers
Given:
The radius of the orbit of the asteroid, R=4 AU
To find:
The orbital speed of the asteroid.
Explanation:
1 AU=1.5×10¹¹ m
Thus the radius of the orbit in meters is given by,
\(\begin{gathered} R=4\times1.5\times10^{11} \\ =6\times10^{11}\text{ m} \end{gathered}\)The orbital period is given by,
\(T=2\pi\sqrt{\frac{R^3}{GM}}\)Where G is the gravitational constant and M is the mass of the sun.
\(\begin{gathered} G=6.67\times10^{-11}\text{ m}^3\text{kg}^{-1}\text{s}^{-2}\text{ } \\ M=2\times10^{30}\text{ kg} \end{gathered}\)On substituting the known values in the equation of the orbital period,
\(\begin{gathered} T=2\pi\sqrt{\frac{(6\times10^{11})^3}{6.67\times10^{-11}\times2\times10^{30}}} \\ =2.52\times10^8\text{ s} \end{gathered}\)The circumference of the orbit of the asteroid is given by,
\(c=2\pi R\)On substituting the known values,
\(\begin{gathered} c=2\pi\times6\times10^{11} \\ =3.77\times10^{12}\text{ m} \end{gathered}\)Thus the orbital speed of the asteroid is given by,
\(v=\frac{c}{T}\)On substituting the known values,
\(\begin{gathered} v=\frac{3.77\times10^{12}}{2.52\times10^8} \\ =14.96\times10^3\text{ m/s} \end{gathered}\)Final answer:
The orbital speed of the asteroid is 14.96×10³ m/s
Related Questions
A 1100 kg safe is 1.8 m above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it 42 cm .
Part A: What is the spring constant of the spring?
Express your answer with the appropriate units.
Answers
1000
k
g
safe is
2
.
0
m
above a heavy-duty spring when the rope holding the safe breaks. The safe hits the spring and compresses it
50
c
m
. What is the spring constant of the spring?
The spring constant of the spring is
k
=
156
,
960
N
/
m
.
Use the illustration below to answer Question #2:
The color spectrum above shows the wavelength range for each color of light. Based on this information, which statement about the colors at each end is true? (AKS 9a, DOK 1)
Red has the longest wavelength and the lowest frequency
Red has the shortest wavelength and the lowest frequency
Violet has the longest wavelength and the lowest frequency
Violet has the shortest wavelength and the lowest freq
Answers
Violet has the shortest wavelength and the lowest frequency.
When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.
Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.
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A is a sphere that is traveling with velocity of (3,7)m/s and had a mass of 5 kg .it collide with sphere B and both particle move together with velocity of (1,4)m/s after the collision. Sphere B has a mass of 4 kg . Find the velocity of B before the collision
Answers
The velocity of sphere B is -1.475 m/s. Which is in opposite direction to the direction of sphere A.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of sphere B before collision, we use the formula below
Formula:
u = [V(M+m)-Mu']/m................... Equation 1Where:
u = Velocity of sphere B before collisionV = Velocity of both particles after collisionM = Mass of sphere Am = Mass of sphereu' = Velocity of sphere B before collisionFrom the question,
Given:
V = 1.4 m/sM = 5 kgm = 4 kgu' = 3.7 m/sSubstitute these values into equation 1
u = [1.4(5+4)-(5×3.7)]/4u = (12.6-18.5)/4u = -5.9/4u = -1.475Hence, the velocity of sphere B is -1.475 m/s.
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Explain, in terms of the air molecules, why the pressure at the top of a mountain is less
than at sea level.
For 3 marks
Answers
there are less molecules per unit volume on top of mountain and the temperature is less causing them to have a lower speed of leading to less pressure
During which type of change should you expect to see different chemical
symbols before and after the change?
A. Chemical
B. Phase
C. Nuclear
D. Physical
Answers
During the nuclear change we can expect to see different chemical symbols before and after the change
Chemical and nuclear reactions are quite different from one another. Atoms can share electrons with other atoms or participate in an electron transfer to increase their stability in chemical reactions. In nuclear reactions, the atom's nucleus stabilizes itself by going through some sort of alteration. Compared to the energies involved in chemical reactions, the energies produced in nuclear reactions are many orders of magnitude higher. Environmental factors like temperature or pressure do not significantly affect nuclear reactions like they do with chemical ones.
Nuclear reactions involve a change in an atom's nucleus, usually producing a different element. Chemical reactions, on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei
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The picture shows two solutions of salt water. Which solution is more concentrated (has a higher concentration)?
Question 15 options:
The first solution is more concentrated
The second solution is more concentrated
The solutions have the same concentration.
Answers
In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated
When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.
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Which of the following situations represents a positive displacement? (Assume positive position is measured vertically upward along a y-axis.
Answers
The following situations represents a positive displacement:
B. An object moves from a height of 5 meters to a height of 10 meters.
Displacement is a vector quantity that measures the change in position of an object from its initial position to its final position. In this scenario, the positive position is measured vertically upward along the y-axis. Let's analyze each option to determine which one represents a positive displacement:
A. An object moves from a height of 10 meters to a height of 5 meters.
This represents a negative displacement since the object moves downward, opposite to the positive direction along the y-axis.
B. An object moves from a height of 5 meters to a height of 10 meters.
This represents a positive displacement as the object moves upward, in the positive direction along the y-axis.
C. An object remains at a height of 5 meters.
This represents zero displacement since there is no change in the object's position along the y-axis.
D. An object moves from a height of 5 meters to a height of 5 meters.
This also represents zero displacement since the object starts and ends at the same position along the y-axis.
Therefore, the situation that represents a positive displacement is option B, where the object moves from a height of 5 meters to a height of 10 meters.
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If the monitoring instrument develops an inability to average, steps to take would include all the following except:?
O Posterior tribal and ulnar nerves
O An electrical stimulation is required to pace the stimulus
O Consult with the anesthesiologist anesthesia changes
O An increase in latencies and a decrease in amplitudes
Answers
When the monitoring instrument develops an inability to average, steps need to be taken including all except C: 'Consult with the anesthesiologist anesthesia changes'.
Anesthesiologists are medical doctors like family doctors and surgeons. They specialize in pain management, anesthesia care, and critical care medicine as well as have the knowledge vital to understanding and treating the human body as a whole.
So when the monitoring instrument develops an inability to average, there is no need to consult with the anesthesiologist. The required steps that need to be taken would include:
monitoring posterior tibial and ulnar nervesprovide electrical stimulation to pace the stimulusincreasing in latencies and decreasing in amplitudesYou can learn more about Anesthesiologists at
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What exercises can help reduce stress?
Answers
find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.
Answers
At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.
The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:
vrms = √(3kT/m)
Where:
vrms is the rms speed
k is the Boltzmann constant (1.38 x 10^-23 J/K)
T is the temperature in Kelvin
m is the molar mass of the gas in kilograms
To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:
m = 16 g/mol = 0.016 kg/mol
Substituting the values into the formula, we have:
vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))
Calculating this expression yields the rms speed of the oxygen sample:
vrms ≈ 482.34 m/s
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A quasar is a distant celestial body in space. Investigators use a special telescope and determine that a certain quasar was giving off waves with a frequency of 1.41 X 109 Hz. An electromagnetic spectrum is shown above. The investigators were most likely using a telescope that detects which type of wave?
Answers
Answer:
equipment for the measurement of microwave L bands with a range between 1 GHz and 2 GHz.
Explanation:
The electromagnetic spectrum can be calculated with the relationship between the speed of light, its wavelength and its frequency.
c = λ f
For reasons of analysis and equipment used, it is artificially divided into ranges, with poorly defined limits and in some cases with overlaps between some.
For the case of analysis, f = 1.41 10⁹ Hz, we have the range called
* Microwave for f> 3 108 Hz to approximately f <3 1011 Hz
For the lower part of the frequency 3 10⁸ <f <3 10⁹ Hz we have UHF television channels and cell phones and military communications.
As the frequency observed by the researchers is in the UHF range, it is possible that they are using microwave equipment for communications, specifically equipment for the measurement of microwave L bands with a range between 1 GHz and 2 GHz.
Force of gravity between pairs of objects
Answers
The force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
We have a Pair of objects.
We have to discuss about the force of gravity between them.
What is Gravity ?In physics, gravity is a fundamental interaction which causes mutual attraction between all things with mass or energy.
According to the question -
Assume that the mass of objects are m and M. They are separated by distance r apart.
According to the Newton's law of gravitation - the force of gravity between the two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the force of gravity between m and M will be -
\($F = \frac{GMm}{r^{2} }\)
Hence, the force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
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define ohms laws and prism
Answers
Answer:
the ohms law says
Explanation:
ohm found that current, voltage, and resistance in a circuit are always related in the same day.
ohms obersivations
ohms found that if the factors that affect resistance are held constant, the resistance of most conductors does not depend on the voltage across them charging the voltage in a circuit changes the current but does not change the resistance regardless of the applied voltage. the ohms law resistance in a circuit is equal to voltage divided by current
resistance =current or voltage =current × resistance
12.
A hiker walks for 5km on a bearing of 053" true (North 53° East). She then turns and
walks for another 3km on a bearing of 107° true (East 17° South).
(a)
Find the distance that the hiker travels North/South and the distance that she travels
East/West on the first part of her hike.
Answers
The hiker travelled 4.02 km North/South and 4.74 km East/West during her hike.
This question involves vector addition, the resolution of vectors, the use of bearings, and trigonometry in the calculation of the hiker's movement.
This may appear to be a difficult problem, but with some visual aid and the proper use of mathematical formulas, the issue can be addressed correctly.
Resolution of VectorThe resolution of a vector is the process of dividing it into two or more components.
The angle between the resultant and the given vector is equal to the inverse tangent of the two rectangular components.
Angles will always be expressed in degrees in the solution.
The sine, cosine, and tangent functions in trigonometry are denoted by sin, cos, and tan.
The tangent function can be calculated using the sine and cosine functions as tan x = sin x/cos x. Also, in right-angled triangles, Pythagoras’ theorem is used to find the hypotenuse or one of the legs.
Distance Travelled North/SouthThe hiker traveled North for the first part of the hike and South for the second.
The angles that the hiker traveled in the first part and second parts are 53 degrees and 17 degrees, respectively.
The angle between the two is (180 - 53 - 17) = 110 degrees.
The angle between the resultant and the Northern direction is 110 - 53 = 57 degrees.
Using sine and cosine, we can calculate the north/south distance traveled to be 5 sin 57 = 4.02 km, and the east/west distance to be 5 cos 57 = 2.93 km.
Distance Travelled East/WestThe hiker walked East for the second part of the hike.
To calculate the distance travelled East/West, we must first calculate the component of the first part that was East/West.
The angle between the vector and the Eastern direction is 90 - 53 = 37 degrees.
Using sine and cosine, we can calculate that the distance travelled East/West for the first part of the hike is 5 cos 37 = 3.88 km.
To determine the net distance travelled East/West, we must combine this component with the distance travelled East/West in the second part of the hike.
The angle between the second vector and the Eastern direction is 17 degrees.
Using sine and cosine, we can calculate the distance traveled East/West to be 3 sin 17 = 0.86 km.
The net distance traveled East/West is 3.88 + 0.86 = 4.74 km.
Therefore, the hiker travelled 4.02 km North/South and 4.74 km East/West during her hike.
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Thomas the Train chugs along at 2 m/s. Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s. What is Thomas' acceleration?
Answers
The acceleration of Thomas is 0.233 m/s^2.
Acceleration is the rate of change of velocity. Thomas the Train chugs along at a velocity of 2 m/s.
Thomas needs to go faster so more coal is shoveled into his engine and he accelerates for 10 seconds until he is going 4.33 m/s.
We are to find the acceleration of Thomas.
The formula for acceleration is given as :
acceleration = (final velocity - initial velocity) / time
In the given problem, the initial velocity of Thomas, u = 2 m/s.
The final velocity of Thomas, v = 4.33 m/s The time for which Thomas accelerates, t = 10 s.
Therefore, the acceleration of Thomas will be given as:
a = (v - u) / ta = (4.33 - 2) / 10s => 2.33 / 10s => 0.233 m/s^2
Thus, the acceleration of Thomas is 0.233 m/s^2.
To summarize, the acceleration of Thomas is 0.233 m/s^2.
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You’re exploring a cave. Standing in a low cavern, you steady yourself by pushing straight up on the rock ceiling. Identify the forces acting on you
Answers
Explanation:
The attached figure shows the free diagram of the person standing in a low cavern.
The forces acting on the person are as follows :
1. Its weight, mg (in downward direction)
2. F₁ = Force exerted by the Earth on the person (in upward direction)
3. F₂ = Force exerted by the ceiling on the person (in downward direction)
PLEASE HELP FOR PHYSICS!
All objects exert a gravitational force on all other objects. This force is given by, F = GMm r2 , where the value of G = 6.673 × 10–11 N–m2/kg2 , M is the mass of the heavier object, m is the mass of the lighter object, and r is the distance between the two objects.
What is the force of gravity between two balls of mass 50 kg each if the distance between them is 25 m. Assume that there is no interference from any other gravitational field.
Answers
Hi there!
Recall Newton's Law of Universal Gravitation:
\(\large\boxed{F_g = G\frac{m_1m_2}{r^2}}\)
Where:
Fg = Force of gravity (N)
G = Gravitational Constant
m1, m2 = masses of objects (kg)
r = distance between objects (m)
Plug in the given values stated in the problem:
\(F_g = (6.673*10^{-11})\frac{50 * 50}{25^2} = \boxed{2.669 * 10^{-10} N}\)
with what speed will a clock have to be moving in order to run at a rest that is one half the rate of clock at rest
Answers
The speed at which a clock would have to be moving in order to run at half the rate of a clock at rest depends on the theory of relativity that you are using.
What is the clock speed about?In special relativity, time dilation is the phenomenon where time appears to pass differently for objects in motion relative to an observer at rest.
According to the theory, time appears to slow down for an object as it approaches the speed of light. The rate at which time appears to pass for an object is given by the equation:
T' = T / \(\sqrt{(1 - (v^2 / c^2))}\)
Where T is the time as measured by an observer at rest, T' is the time as measured by an observer moving relative to the object, v is the velocity of the object, and c is the speed of light.
In addition, this is a theoretical scenario, practically in order to measure time dilation in a laboratory, it is required a very high precision of measurements, that are currently not possible.
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A roller-coaster car with a mass of 900 kg starts at rest from a point 22 m above the ground. At point B, it is 8 m above the ground. [Express your answers in kilojoules (kJ).]
If the initial kinetic energy was zero and the work done against friction between the starting point and point B is 30,000 J (30 kJ), what is the kinetic energy of the car at point B?
Answers
Answer: 317.52
Explanation:
I'm just better
When you attempt to swim, you brush your hands in a wide motion to push the water around you back behind you. This in turn, causes the water around you to push your forward. Which of Newton's Laws would explain this action? a. Newton's First Law b. Newton's Second Law c. Newton's Third Law d. None of Newton's Laws
Answers
Answer:
C. Newton's 3rd law
Explanation:
Swimmers must stroke downward in the water to stay afloat and propel forward. This movement is equal and opposite to the force the water exerts against the swimmer to stop them from moving.
Answer:
c. Newton's Third Law
Explanation:
I got it correct on the test
Select all the correct answers.
Which statements are true?
A farsighted person's cornea and lens refract light too much.
A nearsighted person's cornea and lens do not refract light enough.
A person whose eyes are blue has irises that reflect blue light.
Even people with perfectly working eyes have a blind spot in each eye.
A lens with cataracts absorbs or scatters light that it should refract.
Answers
Answer:
e
Explanation:
Answer: E B
Explanation:
a machine has an efficiency of 70 percent, how much work does the machine do when 20000 j of work is done on it a. 14000 b. 20600 c. 1400000 or c. 2860000
Answers
Answer:
a. 14000
Explanation:
Given parameters:
Efficiency of the machine = 70%
Work done on machine = 20000J
Unknown:
Work done by machine = ?
Solution:
Efficiency of a machine is determined by;
Efficiency = \(\frac{Work done by machine}{Work done on machine} x 100\)
70 = \(\frac{Work done by machine}{20000}\) x 100
70 = \(\frac{work done by machine}{200}\)
Work done by machine = 70 x 200 = 14000J
If the half life of an isotope is 20 years, how much of the original amount will
remain after 20 years has passed?
Answers
Answer:
Half
Explanation:
If the half life of an isotope is 20 years, then half of the original amount will remain after 20 years has passed.
That's what "half-life" means.
Similarly, after ANOTHER 20 years, 1\4 of the original amount remains.
And after ANOTHER 20 years, 1\8 of the original amount remains.
And after ANOTHER 20 years, 1\16 of the original amount remains.
And after ANOTHER 20 years, 1\32 of the original amount remains.
And after ANOTHER 20 years, 1\64 of the original amount remains.
And after ANOTHER 20 years, 1\128 of the original amount remains.
If you have just used a velocity selector for electrons and you wish to use it to choose positrons with the same speed, do you have to change any settings which are related to electric field and magnetic field on the velocity selector? Explain your answer with the aid of labelled diagram. [4 marks]
Answers
Answer:
Explanation:
Yes, to select positrons with the same speed as the electrons, the settings for the electric and magnetic fields on the velocity selector need to be changed.
The velocity selector works by applying both an electric field and a magnetic field perpendicular to each other, as shown in the diagram below:
| B
| /--------->
| / /
| / /
| / /
V | / /
<----------|__/___/_____________
| E
The electrons or positrons enter from the left with an initial velocity, V. The electric field E and magnetic field B are adjusted such that only particles with a specific velocity will be able to pass through the velocity selector and reach the detector on the right.
To select positrons with the same speed as the electrons, the direction of the electric field needs to be reversed. This is because the electric force on a positively charged particle is in the opposite direction of the force on a negatively charged particle. Therefore, if the electric field is reversed, the force on the positron will be in the same direction as the force on the electron. This will allow the positrons with the same speed as the electrons to pass through the velocity selector.
The magnetic field does not need to be changed, as it only affects the trajectory of the particles and not their speed. Therefore, the magnetic field will remain the same as it was for the electrons.
In summary, to choose positrons with the same speed as electrons using the velocity selector, only the direction of the electric field needs to be reversed, while the magnetic field remains the same.
Suppose that current flows in a horizontal conducting loop such that the magnetic flux produced by the current points upward.
As viewed from above, in which direction does this current flow? a. A
b. B
Answers
The current will be flowing in an anti-clockwise direction.
We consider a current carrying loop according to the question lying horizontally, say X-Y plane , the magnetic flux has a direction pointing upwards.According to Lenz law, the direction of induced emf is such that it always opposes the cause of effect.In order to find the direction of the current flowing in the loop we can use the screw / right hand thumb rule by curling our fingers in the direction of the magnetic flux and the thumb of the right hand will point towards the the direction of the current flowing in the coil.According to the situation, the direction of the current comes out to be anti - clockwise when viewed from the above of the coil . From below of the coil the direction of the current will be reversed and it will turn clockwise.To know more about magnetism visit:
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What is the sum of the following vectors? Write your answer, what magnitude and direction the vector will have?
Answers
The magnitude and direction of the object's displacement is 7 m and west direction respectively.
What is displacement?The displacement of an object is the change in the position of the object. Displacement is a vector quantity because it has both magnitude and direction.
To find the sum of the vectors, we find the displacement of the vectors.
Initial position of the vector = 10 m east
final position of the vector = 3 m west
displacement of the vector = final position - initial position
displacement of the vector = 3 m - 10 m
displacement of the vector = - 7 m
magnitude of the displacement = 7 m
direction of the displacement = west
Thus, the magnitude and direction of the object's displacement is 7 m and west direction respectively.
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2. A car of mass 1000kg is being tied along the horizontal road by a rope making an angle of 30° with the horizontal. If the tension in the north rope is 200N and what is the acceleration
Answers
The acceleration of the car is determined as 0.35 m/s².
What is the acceleration of the car?The acceleration of the car is calculated by applying the formula for Newton's second law of motion as follows;
F(net) = ma
where;
F(net) is the net forcem is the mass of the cara is the acceleration of the carFy = F sinθ
200 = F x sin(30)
F = 200 / sin(30)
F = 400 N
The tension in horizontal direction;
Fₓ = 400 N x cos(30)
Fₓ = 346.4 N
The acceleration of the car is calculated as;
a = Fₓ / m
a = 346.4 / 1000
a = 0.35 m/s²
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a car 150m to the east then backtracks 30m to the west. Describe the mathematical operation you will use to determine the net movement of the car
Answers
Answer:
Total displacement will be 120m
Explanation:
Since displacement is shortest distance travelled
Td= 150m east - 30m west ( Since they are opposite in direction)
Td= 120m East
according to newtons third law, the two forces in a force pair act
A. on the same object
B.with the same force
C.in the same direction
Answers
It’s b because force always acts in equal but opposite pairs.
Answer:
With the same force
Explanation:
Their is always the same reaction when you have a force. In this case it would be the force pairs. If you throw a ball at the wall, it bounces back right? It uses the same force that you did on the ball.
Hope this helps!
Which type of biological molecule would control cell activities?
A) Amino Acids.
C) Nucleic Acids.
B) Lipids.
D) Carbohydrates.
Answers
Answer:
C. Nucleic Acids.
Explanation:
Nucleic acids are thus uniquely capable of directing their own self-replication, allowing them to function as the fundamental informational molecules of the cell. The information carried by DNA and RNA directs the synthesis of specific proteins, which control most cellular activities.
Did some simple research, if that's fine and I hope this is correct as it says on the sites. Have a good one :)