The combined momentum of the passengers is 5000 kgm/s.
Combined momentum of the passengerThe combined momentum of the passengers is calculated as follows;
P = mv1 + mv2
where;
m is mass of the passengersv1 is velocity of the first passengerv2 is velocity of the second passengerP = m(v1 + v2)
P = 5000(-1 + 2)
P = 5000 kgm/s
Thus, the combined momentum of the passengers is 5000 kgm/s.
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What kind of physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time
Cosmology physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.
Astronomy's field of cosmology examines the beginnings and development of the universe, from the Big Bang through the present and into the future. The current cosmological model for the development of the universe is the Big Bang theory, which relies on the validity of general relativity. There is a singularity there as well.
According to the Big Bang theory, the cosmos was once compressed into an infinitely small point 13.77 billion years ago. Prior to 10-43 seconds after the Big Bang, during the Planck Era, gravity, nuclear strong, nuclear weak, and electromagnetic forces are thought to have been merged into a single "super" force.
Therefore, cosmology physics is used to describe the interaction of matter and energy from the beginning of the cosmic singularity to the Planck time.
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The electric field of an atom in an ionized helium atom, the most probable distance between the nucleus and the electron is r = 26.5 x 10-12m. what is the electric field due to the nucleus at the location of the electron?
The electric field due to the nucleus at the location of the electron is 4.101 × 10¹² N/C.
Given:
Distance between the electron and nucleus, r = 26.5 × 10⁻¹² m
Charge on an electron, Q = 1.6 × 10⁻¹⁹ C
Calculation:
We know that the Helium atom (He²⁺) has an atomic number Z = 2 and an atomic mass number A = 2 ( 2 protons + 2 neutrons). Thus the charge of a helium atom can be calculated as:
Q' = +2e = 2(+1.6 × 10⁻¹⁹ C) = 3.2 × 10⁻¹⁹ C
We know that the electric field on charge Q due to the nucleus is given as:
E = kQ' / r²
where E is the electric field
k is Coulomb's force constant
Q' is a charge ona Helium atom
r is the separation distance between the electron and nucleus
Applying values in the above equation we get:
E = (9×10⁹ Nm²/C²) (3.2 × 10⁻¹⁹ C) / (26.5 × 10⁻¹² m)²
= 4.101 × 10¹² N/C
Thus, the electric field on electrons due to the Helium nucleus is of magnitude 4.101 × 10¹² N/C.
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An astronomer discovers a new star and wants to measure its temperature. She would typically do this by:____.
An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.
What is the maximum wavelength peak?The maximum wavelength peak is the portion of the wave where a given chemical substance/object exhibits its maximum strongest value of photon absorption.
On the other hand, the blackbody curve of an object is the graphical diagram that shows the distribution of the radiation emitted by this particular substance.
In conclusion, An astronomer that discovers a new star and wants to measure its temperature would typically do this by means of a blackbody curve to find the maximum wavelength.
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Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is negligible. How is the motion of the center of mass affected by the explosion
The center of mass isn't affected by the explosion.
To find the answer, we need to know about the trajectory of motion at zero external force.
How is the trajectory of an object changed when the net external force on it is zero?When there's no net external force acting on an object, its momentum doesn't change with time. As its momentum doesn't change, so it continues with the original trajectory.Why doesn't the trajectory of firework change when it's exploded?When a firework is exploded, its internal forces are changed, but there's no external force. So, although the fragments follow different trajectories, but the trajectory of center of mass remains unchanged.Thus, we can conclude that the center of mass isn't affected by the explosion.
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Medical applications of ultrasound use frequencies up to 2.00 × 10^7 hz. What is the wavelength of this frequency in 20 °c air?
The wavelength of the ultrasound wave in 20 °c air is 1.715 * 10⁻⁵ m.
What is the relationship between wavelength and frequency of a wave?The frequency of sound is the number of complete oscillations per second.
The wavelength is the distance between successive positions in the wave.
Velocity of sound is the distance covered per second.
The frequency and wavelength of a wave are related by the formula given below:
Velocity = frequency * wavelengthThe velocity of sound in 20°C air = 343 m/s
frequency of the sound wave = 2.00 × 10⁷ hz or 2.00 × 10⁷ s⁻¹
wavelength = velocity/frequency
wavelength = 343 / 2.00 × 10⁷
wavelength = 1.715 * 10⁻⁵ m
In conclusion, the wavelength of the ultrasound wave is determined from the ratio of the velocity and the frequency of the sound.
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When driving on a highway, sudden strong cross wind gusts: Select one: a. Do not affect a car as much as a strong head wind b. Affect large cars more than small cars c. Always cause severe dust problems d. Can move a car sideways into another lane
When driving on a highway, sudden strong cross wind gusts move a car sideways into another lane (option D).
What is a crosswind?A crosswind is a wind blowing across a line of travel.
Accidents have been reported to be caused by strong winds and can cause heavy distractions that will cause the driver to lose control.
However, a strong and sudden crosswind will cause the car to move sideways into another lane, and can lead to severe accident.
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Generating electricity has its risks, no matter what type of fuel is used. Identify which consequences are associated with generating electricity in a coal-fired power plant and which accompany nuclear power. Some risks may belong in both categories.
Power generation has to do with the process by which electricity is generated from various sources.
What are the risks of power generation?Power generation has to do with the process by which electricity is generated from various sources. Now we know that electricity is almost the driving force of several economies globally.
A coal fired power plant will lead to the burning of fossil fuels and the consequent release of CO2 into the atmosphere which leads to global warming. Also, the possibility of the release of SOx from the burring of coal could lead to acid rain.
In the case of nuclear sources, the disposal of the spent nuclear fuel presents a huge risk as well as the possibility of radioactive fallout and possible accident that could release tremendous amount of radiation.
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A satellite with a mass of 110 kg and a kinetic energy of 3.0 ´ 109 J must be moving at a speed of
Answer: A satellite with a mass of 110 kg and a kinetic energy of 3.08×10^9 J must be moving at a speed of 7483 m/s.
Explanation: To find the answer we need to know about the kinetic energy of a body.
How to solve the problem the equation of kinetic energy?We have the expression for kinetic energy of a body as,[tex]KE=\frac{1}{2}mv^2[/tex]
Given that,[tex]m=110kg\\KE=3.08*10^9J\\[/tex]
We have to find the speed of the satellite,[tex]v=\sqrt{\frac{2KE}{m} } =\sqrt{\frac{2*3.08*10^9}{110} } =7.483*10^3 m/s[/tex]
Thus, we can conclude that, the velocity of the satellite will be 7438m/s.
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In order to move at a speed of 7483 m/s, a satellite with a mass of 110 kg and a kinetic energy of 3.08× 10^-9 J must be travelling.
Understanding a body's kinetic energy is necessary in order to determine the solution.
How can the kinetic energy equation be solved?The phrase "kinetic energy of a body" might be used as,[tex]KE=\frac{1}{2}mV^2[/tex]
Given that,[tex]m=110kg\\KE=3.08*10^9J[/tex]
We must determine the satellite's speed.[tex]V=\sqrt{\frac{2KE}{m} }=7.48km/s[/tex]
Thus, we can infer that the satellite will move at a speed of 7438 m/s.
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Which orbitals do not have a node at the nucleus?
Answer:
The 1st orbital has no nodes.
Explanation:
A 2s orbital has 1 node and a 1s orbital has no nodes, therefore it is higher in energy than a1s orbital. Also, a 2s orbital is higher in energy because the radius is larger than for a 1s orbital and, therefore, the probability of finding an electron farther from the nucleus is greater in a 2s orbital.
The number of nodes is equal to (n-1) therefore, 1s-orbitals do not have any node at the nucleus.
What is a node?A node is a point where the probability of finding an electron is zero. For a given orbital, the two kinds of nodes are radial nodes and angular nodes.
A radial node is a spherical plane where the probability of finding an electron in an orbital is zero. The number of radial nodes increases with the principal quantum number (n) as it is given by (n- l - 1) and is also known as a nodal region.
An angular node is a plane that passes through the nucleus. The angular node is given by the azimuthal quantum number 'l' and is also known as a nodal plane.
The total number of nodes in orbitals is equal to n - 1. Therefore, the nodes in 1s -orbital (1-1) = 0.
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About how many kwh does the solana parabolic trough solar array generate in a month?
An array of this size can produce an average of 350-850 kWh of AC energy per month.
Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.
Solar panel systems are measured in terms of kW. A common size solar panel array is usually around 5kW. An array of this size can produce an average of 350-850 kWh of AC energy per month.
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An energy storage system based on a flywheel (a rotating disk) can store a maximum of 3.7 MJ when the flywheel is rotating at 16000 revolutions per minute.
The moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex]
It is given that,
The maximum energy stored on the flywheel is given as
E=3.7MJ= 3.7×[tex]10^{6}[/tex] J
Angular velocity of the flywheel is 16000[tex]\frac{rev}{min}[/tex] = 1675.51[tex]\frac{rad}{sec}[/tex]
So to find the moment of inertia of the flywheel. The energy of a flywheel in rotational kinematics is given by :
E = [tex]\frac{1}{2}[/tex][tex]Iw^{2}[/tex]
By rearranging the equation:
I = [tex]\frac{2E}{w_{2} }[/tex]
I = 2.63 kg-[tex]m^{2}[/tex]
Thus the moment of inertia of the flywheel is 2.63 kg-[tex]m^{2}[/tex].
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A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is:
A long narrow solenoid has length l and a total of N turns, each of which has cross-sectional area A. Its inductance is μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).
To find the answer, we need to know about the magnetic field due to a solenoid.
What is the magnetic field due to a solenoid?A solenoid is an insulated wire wound in the form of a helix. Its length is very large compared to its diameter.The magnetic field due to solenoid carrying current [tex]I[/tex] can be written as,[tex]B=[/tex] μ₀n [tex]I[/tex]
[tex]n=\frac{N}{l}[/tex]
We have an expression for magnetic flux as,Φ [tex]= BA[/tex] Where, A is the area.
Substituting above value of magnetic field in the expression of magnetic flux, we get,Ф [tex]= \frac{NIA}{l}[/tex] μ₀
In terms of inductance, we can express the magnetic flux linked with the coil as,Ф [tex]= LI[/tex]
By equating above two equations of magnetic flux, we get the expression for inductance as,μ₀ ( [tex]\frac{N^2A}{l}[/tex] ) [tex]I[/tex] [tex]=LI[/tex]
[tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).
Thus, we can conclude that the expression for inductance is μ₀ ( [tex]\frac{N^2A}{l}[/tex] ).
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The inductance of a solenoid having N number of turns, area A and a length l will be equal to μ₀ ( [tex]\frac{N^2A}{l}[/tex]).
We need to understand the magnetic field created by a solenoid in order to determine the solution.
What does a solenoid's magnetic field look like?An insulated wire twisted into a helix is what makes up a solenoid.Compared to its diameter, its length is significantly larger.It is possible to express the magnetic field caused by a solenoid carrying current as,[tex]B=\frac{NI}{l}[/tex]×μ₀
We can express magnetic flux as follows:[tex]flux=BA[/tex] , A is the area.
In the formula for magnetic flux, we obtain by substituting the above magnetic field value:[tex]flux=\frac{NIA}{l}[/tex] times the μ₀.
The magnetic flux associated with the coil can be expressed in terms of inductance as follows:[tex]flux=IL[/tex]
We obtain the expression for inductance as, by combining the aforementioned two magnetic flux equations.μ₀ ( [tex]\frac{N^2AI}{l}[/tex])= [tex]LI[/tex]
[tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).
As a result, we can say that the inductance expression is [tex]L=[/tex] μ₀ ( [tex]\frac{N^2A}{l}[/tex]).
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It's a duty of the AHJ to
A. make revisions to the Code.
B. interpret NEC rules.
C. review installation designs and determine if they fall under Code jurisdiction
D. ensure the suitability of installations for future expansion.
The duty of the AHJ is to: (C). review installation designs and determine if they fall under Code jurisdiction
Meaning of AHJAHJ can be defined as that means Authority Having Jurisdiction
AHJ can be defined as an organization, office, or individual that are responsible for the issuance of permits, enforcing the requirements of a code or standard and approving materials or a procedure.
In conclusion, The role of the AHJ are outlined in the paragraph above.
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(a) What is the resistance of a lightbulb that uses an average power of 120 W when connected to a 60.0-Hz power source having a maximum voltage of 170 V
Resistance of a lightbulb is 240.8 ohm
Given:
Power = 120 W
Frequency = 60.0-Hz
Voltage = 170 V
To Find:
Resistance of a lightbulb
Solution: The electrical resistance of a circuit is the ratio between the voltage applied to the current flowing through it. Rearranging the above relation, R = V I. The unit of electrical resistance is ohms.
The resistance of the light bulb is given by the formula, R=V²/P
R = (170)^2/120
R = 240.8 ohm
Hence, the resistance of light bulb is R = 240.8 ohm
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What is the safest method to determine electrical current
When attempting to recover your primary second stage underwater, it is acceptable to switch to your alternate air source while you search for your primary. Select one: True False
During primary second stage underwater recovery, it is acceptable to switch to your alternate air source while you search for your primary which makes it a true statement.
What is Primary second stage underwater?This involves the intermediate pressure air from the regulator hose being taken and reduced to ambient pressure.
Switching to your alternate air source will ensure that the diver breathe safely which is why True was chosen.
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A colleague proposes using giant vacuum-like strainers to strain all the water in the great pacific garbage patch. do you think this would be an effective way to remove plastic?
No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.
What is plastic?Plastic is known to be a term that connote the material that is made up of a key ingredient of an organic substance and it is made up of large molecular weight.
Note that It is also seen as polymers that belongs to long carbon chains. and there are a lot of waste disposal in the ocean which disrupt marine activities.
Hence, No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.
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Water falls without splashing at a rate of 0.400 L/s from a height of 2.20 m into a 0.720-kg bucket on a scale. If the bucket is originally empty, what does the scale read 3.60 s after water starts to accumulate in it
The reading of the scale after 3.6 seconds is 23.79 N.
Velocity of the water
v = √2gh
v = √(2 x 9.8 x 2.2)
v = 6.57 m/s
Rate of change of momentum of the water after impactmv/t = F = 0.4 x 6.57 = 2.628 N
Weight of the bucketWb = 0.72 x 9.8
Wb = 7.056 N
Weight of the accumulated waterWa = (RT)g
Wa = (0.4 x 3.6) x 9.8
Wa = 14.11 N
Reading of the scaleR = Wa + Wb + F
R = 14.11 N + 7.056 N + 2.628 N
R = 23.79 N
Thus, the reading of the scale after 3.6 seconds is 23.79 N.
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Analog signals from sensors are changed to digital signals for processing by the computer through which type of circuit?
Analog signals from sensors are changed to digital signals for processing by the computer through analog to digital converter circuit.
What is a Circuit?This is referred to as a path in which electric current flows and comprises of components such as resistor, capacitor etc.On the other hand, analog to digital converter circuit is responsible for the conversion of the analog signals to digital or binary forms and is read through the use of a microcontroller.
The digital signal is what is in vogue as of today due to its synergy with modern electric devices which are common in today's world which explains the need for the conversion to this type of signal.
This is therefore the reason why analog to digital converter circuit was chosen as the most appropriate choice in this type of scenario.
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In 2020, UMass Amherst professors Jun Yao and Derek Lovley invented a generator to create electricity from:
moisture in the air
Electrical engineer Jun Yao and microbiologist Derek Lovley have developed a device that uses a natural protein to create electricity from moisture in the air, a new technology they say could have significant implications for the future of renewable energy, climate change, and the future of medicine.
What is electricity from moisture in the air ?Air Generator," or “Air-Gen,” with electrically conductive protein nanowires produced by the microbe Geobacter, discovered by Lovley some years ago.
The Air-Gen connects electrodes to the protein nanowires in such a way that electrical current is generated from the water vapor naturally present in the atmosphere.Learn more about Air Generator here:
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If m=2000 p=2. 25 and y=6000 what is velocity
The velocity of the money at the given price, and amount of money in the time frame is 6.75.
What is Velocity of money?The velocity of money is a measurement of the rate at which money is exchanged in an economy.
It is the number of times that money moves from one entity to another.
It also refers to how much a unit of currency is used in a given period of time.
MV = PY
V = PY/M
where;
P is priceY is transaction in time frameM is amount of moneySubstitute the given parameters and solve for velocity;
V = (2.25 x 6000) / 2000
V = 6.75
Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.
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The kinetic energy of a 23.2-g object moving at a speed of 81.9 km/hr is ________ j.
Taking into account the definition of kinetic energy, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
Kinetic energyKinetic energy is a form of energy. It is defined as the energy associated with bodies that are in motion and this energy depends on the mass and speed of the body.
This is, kinetic energy is defined as the amount of work necessary to accelerate a body of a certain mass and in a position of rest, until it reaches a certain speed. Once this point is reached, the amount of accumulated kinetic energy will remain the same unless there is a change in speed or the body returns to its state of rest by applying a force.
Kinetic energy is represented by the following formula:
Ec = ½ mv²
Where:
Ec is kinetic energy, which is measured in Joules (J).m is mass measured in kilograms (kg). v is velocity measured in meters over seconds (m/s).Kinetic energy in this caseIn this case, you know:
Ec= ?m= 23.2 g= 0.0232 kg (being 1 g= 0.001 kg)v= 81.9 km/h= 22.75 m/s (being 1 km/h= 0.277778 m/s)Replacing in the definition of kinetic energy:
Ec = ½ 0.0232 g×(22.75 m/s)²
Solving:
Ec= 6.004 J
Finally, the kinetic energy of a 23.2 g object moving at a speed of 81.9 km/hr is 6.004 J.
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Several short trips taken from a cold start can use ....... as much fuel as a longer multi-purpose trip covering the same distance when the engine is warm.
Several short trips taken from a cold start can use ...twice... as much fuel as a longer multi-purpose trip covering the same distance when the engine is warm.
In cold weather, properly designed gasoline aids in engine starting, while in hot weather, it helps prevent vapor lock. In order to meet the requirements of a modern engine, the fuel must have the volatility for which the engine's fuel system was built and an antiknock quality strong enough to prevent knock during routine operation.
During the intake phase, the air and fuel are combined before being introduced into the cylinder. The spark ignites the fuel-air mixture after the piston compresses it, resulting in combustion. During the power stroke, the piston is propelled by the expansion of the combustion gases.
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In the pinball game, momentum is transferred from the plunger to the ___
In the pinball game, momentum is transferred from the plunger to the ball.
What is momentum?
Momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity.
The formula of the momentum is: p = m*v
Here a pinball game machine is given.
We know that,
A plunger in a pinball is a spring loaded rod used to shoot the ball out into the playing field.When the plunger tugged all the way back and released, the plunger will send the ball flying around the playfield. so here elastic potential energy is converted to kinetic energy.That is how the momentum is transferred to the pinball from the plunger.Hence,
In the pinball game, momentum is transferred from the plunger to the ball.
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All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they:
All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they: should be autoclave.
AutoclaveAn autoclave is a device used in industrial and scientific procedures that call for higher temperature and pressure in comparison to ambient temperature. Before doing surgery, autoclaves are used to sterilize the area. In the chemical sector, autoclaves are used to vulcanize rubber, cure coatings, and perform hydrothermal synthesis. Industrial autoclaves are employed in a variety of industrial settings, particularly in the production of composite materials. Depending on the size of the load and the contents, many autoclaves sterilize equipment and supplies by exposing them to pressurized saturated steam at 121 °C (250 °F) for 30 to 60 minutes at a pressure of 15 psi.
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What is the lowest acceptable overvoltage category rating for an ammeter that will be used to test outdoor conductors
CAT IV is the lowest acceptable overvoltage category rating for an ammeter.
What is CAT IV rating?According to IEC 1010 and UL61010-1 standards, the overvoltage installation categories for low voltage systems of less than 1000 Volts test equipment are described by the CAT III & IV ratings. This describes a component's capacity to withstand transient or impulsive voltage. Our voltage indicators meet the necessary standards to be utilized as permanently mounted test equipment for fixed installations such switchgear, MCCs, bus and feeder in industrial plants, and low voltage connections to utility power.
A component can be positioned or utilized further downstream from the voltage source the lower the number, which also indicates how much less impulse it can withstand. Installation at the origin or at the utility level falls under CAT IV, the highest classification. Our products have a 600V at CAT IV.
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When you lift a book from the ground to your desk, what kind of work do you do, negative or positive
When you lift the book, you are doing positive work
Because the force you apply to the book is in the same direction as its displacement, lifting it is considered positive work. Inverse work is being done by gravity. The gravitational potential energy of the object increases as you elevate the book.
What is Work ?The product of an object's displacement and the component of the applied force that is directed in the direction of the object's displacement is known as the work done by a force.
Positive Work: When a force is applied to an object in its direction of motion, it is said to have been performed positively.Negative Work Done: When a force is applied to an object in the wrong direction, the work is said to be negative.Learn more about Work here:
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An object is at a position of 15 cm from a diverging lens with a virtual focal point of 8 cm. The location of the image is
Answer: The location of the image is -5.2cm
The radial velocity method preferentially detects: Choose one: A. all of the above described planets equally well. B. small planets far from the central star. C. small planets close to the central star. D. large planets close to the central star. E. large planets far from the central star.
The radial velocity method preferentially detects large planets close to the central star
what is the Radial velocity:The radial velocity technique is able to detect planets around low-mass stars, such as M-type (red dwarf) stars.
This is due to the fact that low mass stars are more affected by the gravitational tug of planets.
When a planet orbits around a star, the star wobbles a little.
From this, we can determine the mass of the planet and its distance from the star.
hence we can say that,
option D is correct.
The radial velocity method preferentially detects large planets close to the central star
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(a) A certain parallel-plate capacitor has plates of area 4.00m2 , separated by 0.0100 mm of nylon, and stores 0.170 C of charge. What is the applied voltage
The applied voltage is 1.41* 10⁴ kV.
Calculation of applied voltage-
The capacitance of parallel plates in the absence of a dielectric is:
C = ∈₀A/d
where, "d" = the spacing between the plates = 0.01 * 10⁻³ m
"A" = the area of the plates = 4 m²
"∈₀" = the constant = 8.85419*10⁻¹² C²/Nm²
So, C₀ = [tex]\frac{8.85419*10^{-12}*4 }{0.0100*10^{-3} }[/tex]
= 3541.67 *10⁻⁹ F
The dielectric constant, κ= 3.4, is defined as:
κ = C/C₀
The effective capacitance (with the dielectric) is denoted by "C", whereas the original capacitance is denoted by "C₀". (without the dielectric).
As a result, the new capacitance is:
C = κC₀
However, capacitance is connected to a voltage by:
C = Q/V
utilizing the increased capacitance and accounting for "V":
κC₀ = Q/V
V = Q/κC₀ = [tex]\frac{0.170}{3.4 * 3541.67 *10^{-9} }[/tex] = 1.41* 10⁴ kV
Therefore the applied voltage is 1.41* 10⁴ kV.
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