The angular velocity depends on the length of the orbit and the orbital
speed of the telescope.
Response:
First question:
The angular velocity of the telescope is approximately 0.199 rad/sSecond question:
The telescope should accelerates away by approximately F = 0.0005·mThird question:
The pulling force between the Earth and the satelliteWhat equations can be used to calculate the velocity and forces acting on the telescope?The distance of the James Webb telescope from the Sun = 1.5 million kilometers from Earth on the side facing away from the Sun
The orbital velocity of the telescope = The Earth's orbital velocity
First question:
[tex]Angular \ velocity = \mathbf{\dfrac{Angle \ turned}{Time \ taken}}[/tex]
The orbital velocity of the Earth = 29.8 km/s
The distance between the Earth and the Sun = 148.27 million km
The radius of the orbit of the telescope = 148.27 + 1.5 = 149.77
Radius of the orbit, r = 149.77 million kilometer from the Sun
The length of the orbit of the James Webb telescope = 2 × π × r
Which gives;
r = 2 × π × 149.77 million kilometers ≈ 941.03 million kilometers
Therefore;
[tex]Angular \ velocity = \dfrac{29.8}{941.03}\times 2 \times \pi \approx 0.199[/tex]
The angular velocity of the telescope, ω ≈ 0.199 rad/sSecond question:
Centrifugal force force, [tex]F_{\omega}[/tex] = m·ω²·r
Which gives;
[tex]F_{\omega} = m \cdot \dfrac{28,500^2 \, m^2/s^2}{149.77 \times 10^9 \, m} \approx 0.0054233 \cdot m[/tex]
[tex]Gravitational \ force, F_G = \mathbf{G \cdot \dfrac{m_{1} \cdot m_{2}}{r^{2}}}[/tex]
Universal gravitational constant, G = 6.67408 × 10⁻¹¹ m³·kg⁻¹·s⁻²
Mass of the Sun = 1.989 × 10³⁰ kg
Which gives;
[tex]F_G = 6.67408 \times 10^{-11} \times \dfrac{1.989 \times 10^{30} \times m}{149.77 \times 10^9} \approx 0.00592 \cdot m[/tex]
Which gives;
[tex]F_{\omega}[/tex] < [tex]F_G[/tex], therefore, the James Webb telescope has to accelerate away from the Sun
F = [tex]\mathbf{F_{\omega}}[/tex] - [tex]\mathbf{F_G}[/tex]
The amount by which the telescope accelerates away is approximately 0.00592·m - 0.0054233·m ≈ 0.0005·m (away from the Sun)
Third part:
Other forces include;
The force of attraction between the Earth and the telescope which can contribute to the the telescope having a stable orbit at the given speed.Learn more about orbital motion here:
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Which of the following is a renewable resource?
Multiple choice question.
A)
natural gas
B)
minerals
C)
geothermal
D)
oil
PLEASE HELP FAST ASAP
Answer:
B) minerals .Because they mainly consist of metals
When a metal, such as lead, is oxidized (loses electrons) to form a positive ion (cation), how does the solubility change? how does the solubility of a metal (ion) like lead affect its toxicity?
The solubility changes because the metal is now attract the negative charge atoms due to forming of positive ion on it.
How solubility of a metal ion affect its toxicity?Solubility of a metal ion affect its toxicity because due to change of ion, the metal behaves differently which affect its toxic nature so we can conclude that the changes of ions greatly affect solubility and toxicity.
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How do line symmetry differ from rotational symmetry?.
Answer:
A line of symmetry is a line that separates a shape into two identical halves.
Rotational symmetry is the same thing except when you rotate the object, it has to have the exact same line of symmetry.
Hope this helps!!!
A plate of warm food is put into a cold refrigerator. What direction is thermal energy being transferred?.
Suppose the Sun moved twice the distance from Earth. Describe immediate and future changes to our planet. Justify your reasoning
Suppose the Sun moved twice the distance from Earth then the time period of the revolution of the earth around the sun would increase resulting in an increase in the number of days of the year.
What is a solar system?It is a system in which the sun's gravitational attraction causes all the planets and celestial bodies to revolve around it.
The Sun is believed to be located in the system's center in the heliocentric concept upon which our Solar System is founded.
If the Sun were to move twice as far away from Earth, the length of time it would take the Earth to complete one rotation would lengthen, increasing the number of days in a year.
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A typical circular saw has a radius of 0. 184 m and rotates so the velocity of its edge is 110 m/s. How many RPM does the saw make?
Answer:
[5710 RPM]
Explanation:
An electric lightbulb in a lamp fixture is illuminating a small room. The system consists of the lightbulb, the lamp fixture, the air and the room.
Which choice best describes the role of thermal energy in energy transformations?
The role of thermal energy is to balance the electrical energy lost from the light bulb.
Energy conservationThe law of energy conservation states that energy can neither be created nor destroyed but can be transformed from one form to another.
Thermal energyThis is a form of energy that occurs due to rise in temperature.
The role of thermal energy is to balance the electrical energy lost from the light bulb.
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Help with both a and b please
Explanation:
a.)
Reactants : CO2 (carbondioxide) + H2O (water)
Products : O2 (oxygen) + C6H12O6 (glucose)
b.)
Reactants: Na ( Solid Hydrogen) + H2O (water)
Products: H2 (hydrogen gas) + NaOH (sodium hydroxide)
Which type of energy transformation occurs when a flashlight shines?.
Explanation:
chemical energy into electrical energy
mark me brainliest
A charged, parallel-plate capacitor is isolated. If the distance separating the plates of the capacitor decreases to half the original distance, what happens to the magnitude of the electric field between the two plates?
Hi there!
Recall the following:
[tex]C = \frac{Q}{V}[/tex]
C = Capacitance (F)
Q = Charge (C)
V = Potential difference (V)
The equation for the capacitance of a parallel-plate capacitor:
[tex]C = \frac{\epsilon_0 A}{d}[/tex]
C = Capacitance (F)
ε₀ = Permittivity of Free Space
A = Area of plates (m²)
d = distance between plates (m)
If the distance is halved, the capacitance will DOUBLE since there is an inverse relationship between capacitance and distance.
Thus, something has to change in regards to the charge or voltage for it to match the doubled capacitance.
Since the capacitor is ISOLATED, it is not connected to a battery, so the voltage is NOT maintained constant. The VOLTAGE will consequentially be changed, while the electric field will be unchanged.
Recall the equation for potential difference:
[tex]V = Ed[/tex]
If the distance is halved, the voltage will be halved. This is mirrored by the doubled capacitance. Thus, the electric field will remain the SAME.
True or false: An object’s weight can change, but its mass remains the same. True False
An oscilloscope is set to 2volts/div, with the centre line representing 0V. It is connected to a source of potential difference, and the trace is a horizontal line, three divisions above the centre line.
oscilloscope is set to 2volts/div, with the centre line representing 0V. It is connected to a source of potential difference, and the trace is a horizontal line, three divisions above the centre line
Answer and explanation please!!
Answer:
Option 3
Explanation:
O Option C is NEGATIVELY CHARGED, meaning it has GAINED ELECTRONS resulting in a GREATER number of ELECTRONS than PROTONS.
Answer:
Option C.
Explanation:
Firstly, if object A has a positive charge then it means object B also has a positive charge since both the objects are repelling each other (similar charges repel).
Secondly, object C is attracting object B, this means object C has a negative charge since we already know object B has a positive charge (different charges repel each other).
So here, the only correct will be C, "Object C is negatively charged meaning it has gained electrons resulting in a greater number of electrons than protons."
This is because gaining electrons results in more negative charge than positive charge making the object negatively charged.
Which factors affect the resistance of a material? Select three options. Length current thickness temperature voltage.
Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Length, temperature, thickness are the factors that affect the resistance of a material.
What is resistance?Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.
The relation of resistance with length and thickness is given by ;
[tex]\rm R= \frac{\rho l}{A}[/tex]
Hence the value of resistance is directly propotional to length and inversly propotional to the area or thickness of the wire.
As the value of temperature increases, the value of resistance in the material is increasing.
Hence length, temperature, thickness are the factors that affect the resistance of a material.
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Answer:
length, thickness and temperature
Explanation:
2022
16. True or False. Divergent boundaries occur in the mid-ocean ridges and form new crust. It is the location of the older oceanic crust.
Answer:
False I think, not 100% sure
How are frequency and period related in simple harmonic motion?.
They are reciprocals.
That is . . .
-- Frequency = 1 / period
and
-- Period = 1 / frequency .
the frequency is the inverse of the period, an increase in frequency results in a decrease in the period, and vice versa.
What is the frequency?The frequency of a recurrent occurrence, such as a wave, during a given time period, is measured using this unit. A cycle is a single instance of the pattern's repetition. Only waves that are moving and constantly shifting in location may exhibit frequency. The frequency of a wave can be used to estimate its speed.
The relationship between the frequency (f) and period (T) in simple harmonic motion is inverse.
We may mathematically represent this connection as follows:
f = 1/T
where f is the frequency in hertz (Hz), and T is the period in seconds (s).
The difference between the period and the frequency is how many oscillations or cycles occur in a given amount of time.
A pendulum, for instance, would have a frequency of 1 Hz and a period of 1 second if it oscillates once per second.
The frequency and period are inversely correlated, thus as the frequency rises, the period decreases, and vice versa.
As a result, frequency and period have an inverse connection in simple harmonic motion, where a rise in one variable causes a reduction in the other.
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Does increase in metabolism accelerates weight loss?.
Answer: yes
Explanation: Having a higher metabolism can help you lose weight and keep it off, while also giving you more energy.
What term describes the pair of equal but opposite poles present in all magnets?
These are called the north and south poles. When they are put together, due to the amount of opposing electrons and moles in the force, one repels the other while the other is magnetically attracted by the force because of the strength.
In which fitness test do u see how many sit-ups you can do in 1 min
Answer:
within the pastor gram test you'll be able to how many sit ups you can do
Explanation:
because with instrucstions you can be guided and not everywhere with it
Define how the changes in temperature changes and affects the cooling curve? State five important facts. I WILL GIVE A BRAINLIEST.
Answer:
By increasing the temp the faster the heat is transferred so faster the substance cools
And vice versa
If you know all of the forces acting on a moving object, can you tell in which direction the object is moving? if the answer is yes, explain how. If the answer is no, give an example.
No, knowing all the forces is not enough to know the direction of motion.
How to use Newton's laws?
The second Newton's law states that:
F = m*a
This says "force equals mass times acceleration".
Where acceleration is the rate of change of the speed. From that equation, we conclude that the acceleration is in the same direction that the net force.
So, if we know all the forces acting on an object, we know the net force acting on it, then we know the direction of the acceleration.
Is this enough to know the direction in which it is moving?
No, the object does not need to move in the same direction than its acceleration, the direction of motion will also depend on the initial velocity of the object (if it is initially moving with constant speed).
If we don't know that, we can't find the direction of motion.
An example of this can be a car going at 100km/h east-wise.
Then we apply a net force due west, then we have an acceleration due west. But as the initial direction of motion was east, the car will still move to the east, but the velocity will decrease gradually.
So as you can see in that example, we need to know the initial velocity to know the direction in which the object is moving.
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A 5-kg fish swimming at a speed of 1 m/s swallows an absent-minded 1-kg fish at rest. The speed of the larger fish after lunch is
Answer:
Explanation:
So:
(
5
⋅
1
)
+
(
1
⋅
−
4
)
=
(
5
+
1
)
v
5
−
4
=
6
v
v
=
1
6
=
0.17
m
s
How to calculate t in shm when you have displacement.
Answer:
ikd
Explanation:
I don't get what your asking pls make it more clear
All living things strive to maintain homeostasis—it
is what helps them stay alive. Which of the following is true regarding homeostasis?
A.Only certain cells need to maintain homeostasis.
B.Homeostasis refers to the cells' ability to reproduce.
C.All cells undergo processes to maintain homeostasis.
D.Homeostasis does not aid in getting rid of cellular waste.
Answer:
D. Homeostasis does not aid in getting rid of cellular
A standard AA battery provides 1.5 V. How many pennies and nickels would you need to include in a voltaic pile to produce the same voltage as a standard AA battery?
Answer: In a battery, voltage determines how strongly electrons are pushed through a circuit, much like pressure determines how strongly water is pushed through a hose. Most AAA, AA, C, and D batteries are around 1.5 volts. Imagine the batteries shown in the diagram are rated at 1.5 volts and 500 milliamp-hours.
Explanation: Today "AA" is frequently used as a size designation, irrespective of the battery's electrochemical system. The main numbers used for the most common NiMH and NiCad battery
To produce a voltage of 1.5 V with a Voltaic pile, we would need either two zinc pennies and one copper nickel or one zinc penny and three copper nickels.
What is a voltaic pile?A Voltaic pile is an early type of battery that consists of alternating discs of two different metals (such as copper and zinc) separated by cardboard soaked in an electrolyte solution. Each pair of metal discs and cardboard makes up one cell of the battery, and the voltage of the battery depends on the number of cells connected in series.
To calculate how many pennies and nickels would be needed to produce a voltage of 1.5 V, we need to consider the voltage generated by each cell and the number of cells required to achieve a total voltage of 1.5 V.
One zinc penny produces approximately 1.1 volts, and one copper nickel produces approximately 0.5 volts. To get a total voltage of 1.5 V, we could arrange one zinc penny and one copper nickel in series, but this combination would produce a voltage of only 1.6 V (1.1 V + 0.5 V).
To get as close to 1.5 V as possible, we could use two zinc pennies and one copper nickel in series, which would produce a voltage of 1.7 V (1.1 V + 0.6 V).
Alternatively, we could use one zinc penny and three copper nickels in series, which would also produce a voltage of 1.5 V (1.1 V + 0.4 V + 0.5 V + 0.5 V).
Therefore, To produce a voltage of 1.5 V with a Voltaic pile, we need either two zinc pennies and one copper nickel or one zinc penny and three copper nickels.
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True or False Long wavelength radio waves have frequencies.
Answer:
True
Explanation:
All waves have frequencies.
Answer:
Well the answer is TRUE... AND IM JUST WRITING THIS TO MAKE THE ANSWER LONGER
5. Based on the data collected by the students, what is the tangential velocity of
the ball?
e
0.021 m/s
The table below shows data they collect for one trial of their lab.
0.096 m/s
Ooo
Mass of Ball (kg)
0.012 kg
& & &
2.58 m/s
e
Radius of Circle (m)
0.30 m
o
5.60 m/s
e
Number of Revolutions
20
CLEAR ALL
Time (s)
14.65
The tangential velocity of the ball is 0.63 m/s.
What is tangential speed?
Tangential speed is the linear component of the speed of any object moving along a circular path.
v = ωr
where;
v is the tangential speedω is the angular speed (rad/s)r is the radius of the circleAt a given radius of the circle = 0.3 m
Let the number of revolution per min = 20 rev/min
[tex]\omega = 20 \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} = 2.1 \ rad/s[/tex]
v = ωr
v = 2.1 x 0.3
v = 0.63 m/s
Thus, the tangential velocity of the ball is 0.63 m/s.
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Please help me as fast as possible
What is the geologic time scale is and how it is used?
Describe the concept of using radioactive elements to establish the age for a fossil, including how the parent and daughter elements are used in the determination of age?
List two examples of measurements of time that are relative?
List two examples of measurements of time that are absolute?
Describe the conditions on Earth billions of years ago and the factors that controlled the evolution of life?
There was no oxygen and layer of ozone in the atmosphere of earth billions of year ago.
What is the geologic time scale?The geologic time scale is a “calendar” that show events that occur in Earth history. It is used by geologists and other Earth scientists in order to describe the timing and relationships of events in geologic history.
Describe the concept of using radioactive elements?Geologists commonly use radiometric dating methods, based on the natural radioactive decay of certain elements such as potassium and carbon as reliable clocks in order to date ancient events.
Describe the conditions on Earth billions of years ago?The early Earth had no ozone layer and no free oxygen. Without an oxygen atmosphere very few things could live on the early Earth which did not need oxygen for their survival.
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Assuming constant acceleration what would be the speed at 14s ?
We see here that assuming constant acceleration, the speed at 14s will be 70km/hr.
What is speed?Speed is a measure of how fast something is moving, typically measured as distance traveled per unit of time. It is a scalar quantity, meaning that it has magnitude but no direction.
The SI unit for speed is meters per second (m/s), but it can also be expressed in other units such as kilometers per hour (km/h), miles per hour (mph), feet per second (ft/s), and so on.
The formula for calculating speed is:
Speed = Distance / Time
It is clear from the graph that as time increases, there is an increase in speed.
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Which observers on earth can see polaris on a clear night?.
Answer:
Polaris is the north star and observers in the northern hemisphere can see this star on a clear night.
