The formula for determining angular momentum is expressed as
L = Iw
where
L = angular momentum
I = moment of inertia
w = angular speed
Also, the formula for finding moment of inertia is expressed as
I = 1/2MR^2
where
M = mass of body
R = radius of body
From the information given,
M = 12
R = 0.75
Thus,
I = 1/2 x 12 x 0.75^2 = 3.375
L = 0.85
From the first equation,
w = L/l
w = 0.85/3.375
w = 0.2519 rad/s
How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?
When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to 4.18×10⁹ kg.
The mass of each comet int he Oort cloud is,
mass = density × Volume
volume of sphere = 4/3(π×r²) where, r = radius of the sphere
From the given,
diameter = 1 km
radius = Diameter / 2 = 1/2(D)
Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)
= 4/3×(π) ×(1/8×10⁶)
Mass = density × volume, where density = 1000 kg/m³
= 1000 × 4/3×(π) ×(1/8×10⁶)
= 4.18 ×10⁹ kg
When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.
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The electric potential is 40 V at point A near a uniformly charged sphere. At point B, 2.0 μm farther away from the sphere, the potential has decreased by 0.16 mV. How far is point A from the center of the sphere?
Answer:
Explanation:
Potential at a point near a charge = Q / 4πε₀ R
where Q is charge given , R is distance of point from the charge .
Q / 4πε₀ R = 40
Electric field E at A = -dV / dR
= .16 x 10⁻³ / 2 x 10⁻⁶
= .08 x 10³
= 80 N/C
E = Q / 4πε₀ R²
80 = Q / 4πε₀ R x R
80 = 40 / R
R = 40 / 80
= .5 m .
In the Skycoaster amusement park ride, riders are suspended from a tower by a long cable. A second cable then lifts them until they reach the starting position indicated in (Figure 1). The lifting cable is then released, and the riders swing down the circular arc shown. If the four riders have a total mass of 330 kg
, what is the tension in the left cable just before release?
Tension in the left cable is 4395.9 N.
What is meant by tension ?Tension is defined as a pulling force that acts along the length of a flexible medium like rope or cables.
Here,
The total mass of the riders is given, m = 330 kg
Let the tension in the left cable be T₁ and that in the right cable be T₂.
From the figure,
T₁ cos 15 = T₂ cos 26
T₁ = T₂ cos 26/cos 15
Also,
T₁ sin15 + T₂ sin 26 = mg
Substituting values,
(T₂ cos 26/cos 15) sin 15 + T₂ sin 26 = 330x 9.8
0.241 T₂ + 0.438 T₂ = 3234
0.679 T₂ = 3234
T₂ = 4762.8 N
Therefore, Tension in the left cable, T₁ = 0.930x 4762.8
T₁ = 4395.9 N
Hence, The tension in the left cable is 4395.9 N
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Your question was incomplete. Attaching the image here.
select and explain three features of the solar panel that maximises the final temperature of the water
Answer:
Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
Please help and if you get this and answer the other one on my thing i’ll give u brainliest
How does increasing the energy of a wave affect its wavelength?
The increase in energy causes an increase in wavelength.
The shorter the wavelength, the lower the energy.
The higher the energy, the shorter the wavelength.
There is no relationship between energy and wavelength.
Answer:
The higher the energy, the shorter the wavelength.
Explanation:
1. Models are assessed more in terms of their ( answer) than
their ( answer )
2. Explain why scientists construct models.
3. Is the following sentence true or false? A model of the atom does not
need to be consistent with a model for light because they are not related.
4. Is the following sentence true or false? The emission of light is seldom
related to the motion of electrons in atoms..
5. Circle the letter of each of the primary models of light.
a. particle model
b. light model
c. matter model
d. wave model
Answer:
Models are assessed more in terms of their accuracy than their simplicity.
Scientists construct models as a means of representing complex systems or phenomena in a simplified and understandable way. Models can help to explain and predict behavior, identify relationships and patterns, and communicate information. They also serve as a tool for testing ideas and theories, and can be used to evaluate the impact of changes or interventions. By creating models, scientists can better understand complex systems and make informed decisions based on the results.
False. A model of the atom and a model for light are related because light is produced as a result of interactions between electrons and photons in atoms. The models for these two phenomena must be consistent in order to accurately predict and understand their behavior.
False. The emission of light is often related to the motion of electrons in atoms. For example, in certain conditions, electrons can be excited from lower to higher energy levels, releasing photons of light in the process.
a. particle model
d. wave model
The most distant galaxy we have observed is more than
13.2 billion light-years away.
What does this evidence indicate?
e
A. That the universe is less than 13.2 billion years old
B. That the universe will exist for at least 13.2 billion more years
C. That the universe is at least 13.2 billion years old
D. That the universe is infinitely large and has always existed
Answer:
That the universe is at least 13.2 billion years old
Explanation:
The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old
What is the universe?
The universe is the sum total of all existent matter and space. The universe is estimated to be at least 10 billion light-years across and contains an enormous number of galaxies;
It has been expanding since the Big Bang some 13 billion years ago.
The most distant galaxy we have observed is more than 13.2 billion light-years away. this evidence indicates. That the universe is at least 13.2 billion years old
Hence option c is correct.
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How does solar weather affect Earth’s magnetosphere? Select the two correct answers.
It causes geomagnetic storms.
It generates auroras.
It develops solar wind.
It forms radiation belts.
Gamma rays are dangerous because they
a.can breakdown molecules and cells
b. fluoresce
c. cause food to spoil
d. cause sunburn
Answer:
A.
Explanation:
A large fraction of astronomical gamma rays are screened by Earth's atmosphere. Gamma rays are ionizing radiation and are thus biologically hazardous. Due to their high penetration power, they can damage bone marrow and internal organs.
The extremely high energy of gamma rays allows them to penetrate just about anything. They can even pass through bones and teeth. This makes gamma rays very dangerous. They can destroy living cells, produce gene mutations, and cause cancer.
What is the best flowers
Answer:
What are the best flowers? (My opinion)
Water liliesWhite rosesHydrangeaExplanation:
You're welcome.
Answer:
Tulips,
Lilies,
Lotuses on my opinion...
3. The Earth's seasons are caused by Earth's distance from the sun true or false?
Answer:
true
Explanation:
as the earth gets closer tp the sun its summer, farther away is winter
the turbine is powered by
ANSWER A turbine is a device that harnesses the kinetic energy of some fluid - such as water, steam, air, or combustion gases - and turns this into the rotational motion of the device itself. These devices are generally used in electrical generation, engines, and propulsion systems and are classified as a type of engine.
a fluid that becomes more dense will sink or rise?
It depends on the liquid the fluid is being put in. If the liquid is more dense than the fluid then it will sink but if the fluid is denser than the liquid then it will float.
if the fluid becomes more dense as it is put in the liquid it can sink as long as it reaches a high spenough density to be denser than this liquid it is in.
How could electrical energy and kinetic energy be
used to cool your tree house?
A cell phone weighs about 28x10" pounds. Which value of n is most reasonable?
Answer:
\( {3}^{n} \)
Explanation:
https://www.doubtnut.com/question-answers/a-cellphone-weighs-about-28x10n-pounds-which-value-of-n-is-most-reasonable-a-3-b-2-c-0-d-1-433477
A watermelon seed has the following coordinates: x = -7.1 m, y = 5.6 m, and z = 0 m. Find its position vector as (a) a magnitude and (b)
an angle relative to the positive direction of the x axis. If the seed is moved to the xyz coordinates (4.7 m, Om, O m), what is its
displacement as (c) a magnitude and (d) an angle relative to the positive direction of the x axis? Put the angles in the range (-180°, 180°]
Who has so much time to measure the fμcking seeds?
Part F
Imagine you were a sportscaster at the Olympics. You'd created a mathematical model similar to the one you just did. Imagine that you had a
computer program that could do an instantaneous analysis of video motion using that model. How could you use it in your sportscast?
A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.
Why will a program be needed?A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.
Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience
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What is speed of sound in air?
Answer:
speed of sound, speed at which sound waves propagate through different materials. In particular, for dry air at a temperature of 0 °C (32 °F), the modern value for the speed of sound is 331.29 metres (1,086.9 feet) per second
How does methodology in natural science influence knowledge produced
A wave has an amplitude of 0.0800 m
and is moving 7.33 m/s. One oscillator
in the wave takes 0.230 s to go from
one crest to the next crest. Find the
wavelength of the wave.
(Unit = m)
If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The
wavelength of the wave is 1.69m.
What is the wavelength?The wavelength of a wave can be determined using the equation:
Wavelength = velocity / frequency
To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.
frequency = 1 / time
frequency = 1 / 0.230
frequency ≈ 4.35 Hz
Substitute the values into the wavelength equation:
wavelength = velocity / frequency
wavelength = 7.33 / 4.35
wavelength ≈ 1.69m
Therefore the wavelength of the wave is approximately 1.69 meters.
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If a wave has a frequency of say 10 Hz, that means something is oscillating times per second. What is this property that is oscillating for light, described by its frequency?
The property that is oscillating would be the electric and magnetic fields.
Oscillating properties of lightFor light, the property that is oscillating or vibrating at a particular frequency is the electric and magnetic fields.
Light is an electromagnetic wave, which means that it consists of oscillating electric and magnetic fields that are perpendicular to each other and to the direction of wave propagation.
The frequency of the wave corresponds to the number of complete oscillations of the electric and magnetic fields that occur per second, and is measured in hertz (Hz).
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Discuss the circuits.
Name all the
components. What
will happen to bulb
B1 if the bulb B2 is
replaced with
connecting wire in
each circuit?
The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.
Circuits are basically the pathways that allow the flow of electric current. These circuits have different components. In this context, there are two circuits, the series circuit, and the parallel circuit. The series circuit has bulbs connected in a sequence where current flows through each bulb in turn. In contrast, the parallel circuit has bulbs connected to different branches. The current flows through each bulb separately.In a series circuit, the components are a power source, resistors, and wires. A power source can be a battery or a generator that is connected in a sequence with resistors and wires. The bulbs B1 and B2 are connected in series. If bulb B2 is replaced with a connecting wire, then the circuit will become incomplete, and bulb B1 will not light up. This is because in a series circuit, if one component is disconnected, the entire circuit becomes open, and the current stops flowing. Thus, if bulb B2 is replaced with a wire, the current will bypass the bulb, and the circuit will become incomplete. In a parallel circuit, the components are a power source, resistors, and branches. The bulbs B1 and B2 are connected in parallel. If bulb B2 is replaced with a connecting wire, the circuit will still work. This is because in a parallel circuit, each bulb has its branch, and the current flows through each bulb separately. Thus, if bulb B2 is replaced with a wire, the current will still flow through bulb B1, and it will light up.For more questions on the series circuit
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when viewed through a formalist lens the point of
We can see that Shakespeare's structure when viewed through a formalist lens is to: C. Introduce a new motif that focuses on the inevitability of death.
Who is William Shakespeare?
William Shakespeare was known as an English actor, poet and also a playwright. Many regard Shakespeare as the greatest writer in the English language. He is often seen as the world's greatest dramatist.
William Shakespeare was known to have written several plays like:
Romeo and JulietMacbethThe Tragedy of Julius Caesar, etc.The reader aims to comprehend how words interact with one another and how different parts of the text relate to one another.
Therefore, William Shakespeare employ this technique in his study and is likely to be interested in how the various components of the text interact.
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Exam Instructions
Question 8 of 20:
Select the best answer for the question
8. Which of the following is a healthy example of practicing self-care?
OA. Using junk food to cope with stress
OB. Spending extra hours working at the office
OC. Reflecting on a happy memory
OD. Avoiding friends and family for weeks
Mark for review (Will be highlighted on the review page)
o Previous Question
Next Question >>
Self-care can be demonstrated in a healthy way by recalling a happy memory.
Is self-care included in reflection?The first step toward self-care is allowing yourself to be honest and vulnerable. Through self-reflection, you can at last let out all that you've been keeping down. Your journal is your very own private platform on which you can record your successes, anxieties, and worries.
What good examples of self-care do you have?Taking care of oneself exercises can go from proactive tasks, for example, practicing and practicing good eating habits, to mental exercises like perusing a book or rehearsing care, to otherworldly or social exercises, for example, imploring or getting lunch with a companion.
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Volume (m3) 1.337E+0 moles of an ideal diatomic gas undergoes a transition from a to c along the diagonal path in the figure. The temperature of the gas at point a is 900 K. During the transition, what is the change in internal energy of the gas? Submit Answer Tries 0/10 How much heat is added to the gas in going directly from a to c? Submit Answer Tries 0/10 How much heat must be added to the gas if it goes from a to c along the indirect path abc? Submit Answer Tries o/10
The change in internal energy of gas is Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc) Where Tc is the temperature of the gas at point c. the heat added to the gas in going directly from a to c is Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).
To find the change in internal energy of an ideal gas during a process, you can use the equation: Delta U = n * Cv * Delta T Where Delta U is the change in internal energy, n is the number of moles of the gas, Cv is the molar specific heat capacity at constant volume, and Delta T is the change in temperature. For a diatomic gas, the molar specific heat capacity at constant volume is Cv = (5/2)R, where R is the ideal gas constant. Plugging in the given values, you get: Delta U = 1.337E+0 moles * (5/2)R * (900 K - Tc). To find the heat added to the gas in going directly from a to c, you can use the equation: Q = Delta U + Delta (PV) Where Q is the heat added to the gas, Delta U is the change in internal energy, and Delta (PV) is the change in the product of pressure and volume. For an ideal gas, the change in internal energy is equal to the heat added, so you can simply use the equation: Q = Delta U Plugging in the values, you get: Q = 1.337E+0 moles * (5/2)R * (900 K - Tc).
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A battery, with potential V across it, is connected to a combination of two identical re- sistors and then has current i through it. What are the potential difference across and the current through either resistor if the resistors are (a) in series and (b) in parallel
Answer:
This question appear/maybe incomplete
Explanation:
For a resistor connected in parallel, the potential difference across the resistors are the same. This means that the potential difference across the two identical resistors will be the same.
However, when the resistors are connected in series, the potential difference across resistors will be an addition of the voltage of each resistor. This means that the sum of the voltages of the two identical resistors will give the potential difference across the resistor.
It should be noted that the unit for potential difference is voltage.
To calculate the current running through a resistor, Ohm's law is followed.
Ohm's law states that the current flowing through a linear circuit is directly proportional to the potential difference across the circuit. Hence, the higher the potential difference, the higher the current passing through the circuit.
Thus, the formula for Ohm's law is V = IR
Where I is the current, V is the voltage and R is the resistance
In series, since we looking for I, the formula will be I = V/R
where V will be provided as the voltage the circuit is connected to, the resistance (R) will be the addition of the two identical resistance (R₁ + R₂)
In parallel, the formula here will also be I =V/R, however, the formula for resistance here will be a summation of the inverse of the two individual resistance as in (1/R₁ + 1/R₂)
How many kilocalories of heat would be needed to melt 0.32 kg of ice at 0°C and increase the temperature to 25°C? The specific heat of water is 1 cal/g.°C, specific heat of ice is 0.5 cal/g.°C, the latent heat of ice to water is 80 cal/g. Keep one digit after the decimal.
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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A motorcycle has a constant speed of 29 m/s as it passes over the top of a hill whose radius of curvature is 108 m. The mass of the motorcycle and driver is 350 kg. Find the magnitude of the normal force that acts on the cycle.
The magnitude of normal force (N) on motorcycle is 704.537 N
In this type of scenario, we have been told that the mass, denoted by "m," is 350 kilograms, that the speed of the motorcycle, denoted by "v," is 29 meters per second, and that the radius of curvature, denoted by "R," is 105 meters. We can utilize the second law of motion that Newton proposed to compute the magnitude of the normal force, which is as follows:
\(m . g - N = \frac{mv^{2} }{R}\)
By applying the formula above we have:
\(350 x 9.8 - N= \frac{350x29^{2} }{108}\)
3430 - N = 2725.46296
N = 3430 - 2725.46296
N = 704.537 N
Thus, the magnitude of normal force on motorcycle would be 704.537 N
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