A star that begins with a mass between about 8 and 20 times the Sun's mass will end up with a core that is too massive to be supported by electron pressure. Such a star comes to a violent end. Neutron star form when fusion ends.
What is a neutron star?
A type of celestial object known as a neutron star is created from the remains of a massive star that has experienced a supernova explosion. With a mass comparable to that of the sun but squeezed into a sphere about 20 kilometres in diameter, neutron stars are extraordinarily dense. Because of this tremendous density, the gravitational field is approximately one billion times greater than on Earth.Neutrons are non-charged subatomic particles that make up nearly the whole mass of neutron stars. The neutron star is effectively a huge atomic nucleus since these neutrons are crammed so closely together.To know more about neutron star, click the link given below:
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10.0 Ω
10.0 Ω
9.0 V
9.0 V
What is the voltage in each branch of the
parallel circuit?
The voltage in each branch of the parallel circuit is 9.0 V.
What is a parallel circuit?
A parallel circuit is a type of electrical circuit in which the components are arranged in such a way that they are connected to the same voltage source by separate branches.
In a parallel circuit, each component has its own individual path for electric current to flow, and the total current is equal to the sum of the currents flowing through each branch.
In a parallel circuit, the voltage across each component is the same, but the current through each component can be different.
V1 = V2 = V = 9.0 V
where;
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what is gram to mole?
To convert grams to moles, you need to divide the mass of the substance in grams by its molar mass, which is the mass of one mole of the substance.
The molar mass of a substance is calculated by adding up the atomic masses of all the atoms in its chemical formula.
The formula for converting grams to moles is:
moles = grams / molar mass
The molar mass of a substance is calculated by adding up the atomic masses of all the atoms in a molecule. The atomic masses are found on the periodic table of elements.
For example, the molar mass of water (H2O) is calculated as follows:
2 x the atomic mass of hydrogen (1.008) + 1 x the atomic mass of oxygen (15.999) = 18.015 g/mol
Molar mass is important in chemistry because it allows for the conversion of mass to moles and vice versa. This is useful in determining the amount of a substance needed for a chemical reaction, as well as calculating the concentration of a solution. Additionally, the molar mass can be used to determine the empirical and molecular formulas of a substance.
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How much work must josh do to run up a 7 m high flight of stairs in 5.5 s? Assume that
she is 65 kg.
(Show work please)
The work done by Josh in running up a 7 m high flight of stairs in 5.5 s, given that she has a mass of 65 Kg is 4459 J
How do I determine the work done by Josh?Work is defined by the following formula:
Work = Force × distance
Where gravity applies, the work is defined as:
Work (W) = Mass (m) × acceleration due to gravity (g) × height (h)
The following data were obtained from the question
Height (h) = 7 metersMass of Josh (m) = 65 KgAcceleration due to gravity (g) = 9.8 m/s²Work done (W) =?Using the above formula, we can obtain the work done by Josh as follow:
Work done (W) = Mass (m) × acceleration due to gravity (g) × height (h)
Work done = 65 × 9.8 × 7
Work done = 4459 J
Thus, we can conclude that the work done by Josh is 4459 J
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A skateboarder starts up a 1.0 m high, 30 degree ramp at a speed of 7.0 m/s. The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down?
The skateboarder touches down 3.8 meters from the end of the ramp while wheels roll out without friction.
What does friction mean?Friction is the force that opposes motion between two surfaces that are in contact with each other. It arises because the microscopic roughness of the surfaces that are in contact, and the interlocking of their asperities causes a resistance to sliding or rolling motion.
Friction can be categorized into two types:
Static friction: This type of friction occurs when two surfaces are at rest relative to each other and a force is applied to start the motion. It opposes the motion until the force applied overcomes the resistance and the motion begins.Kinetic friction: This type of friction occurs when two surfaces are in motion relative to each other. Kinetic friction opposes the motion and reduces the speed of the object until it comes to rest.For example, it allows us to walk, run, and grip objects. However, friction can also cause problems, such as wearing down machinery and causing heat build-up.
Conservation of energy to be used to solve this problem.
At the top of the ramp, all the skateboarder's initial energy is in the form of kinetic energy, and at the bottom, all the energy is in the form of potential energy. Therefore:
[tex]1/2 * m * v^2 = m * g * h[/tex]
where m is the mass of the skateboarder, v is the initial velocity, g is the acceleration due to gravity[tex](9.81 m/s^2)[/tex], and h is the height of the ramp.
Solve this equation for the mass of the skateboarder:
[tex]m = (2 * h) / (g * sin^2(theta))[/tex]
where theta is the angle of the ramp (30 degrees).
Plugging in the given values,
[tex]m = (2 * 1.0 m) / (9.81 m/s^2 * sin^2(30 degrees)) = 2.2 kg[/tex]
Now that the mass of the skateboarder is known, use the kinematic equations to find the distance the skateboarder travels before touching down:
[tex]d = v^2 * sin(2*theta) / g[/tex]
Plugging in the given values
[tex]d = 7.0 m/s * sin(2 * 30 degrees) / (9.81 m/s^2) = 3.8 m[/tex]
Therefore, the skateboarder touches down 3.8 meters from the end of the ramp.
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The ________ of the microscope carries three or four objective lenses.
The nosepiece of the microscope carries three or four objective lenses.
What does the nosepiece do in a microscope?The component of a microscope that houses the objective lenses is called a turret or rotating nosepiece (can be two or many). The rotation of the objective lenses and assistance in adjusting the magnification power is the crucial function of the nosepiece.
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What factors are the most critical in determining whether a fossil is preserved?
A. the age of the fossil and the age of sediments in which it is preserved
B. the temperature of the granite and how fast it cooled
C. whether the creature had hard parts and how fast it was buried
D. the color of the original organism compared to the color of the sediments in which it is found
E. whether the creature was a predator or was prey
C. whether the creature had hard parts and how fast it was buried.
Preservation of FossilsThe process of turning an organism's remains into rock or into imprints inside sedimentary rock is known as fossil preservation. A fossilised dinosaur bone is not actually a bone when you look at it. You are staring at a rock that resembles a bone. Other minerals have displaced the minerals found in the bones of the dinosaur. Over millions of years, sedimentary material filled the voids and the bone transformed into rock.
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suppose an asteroid orbiting the sun had an orbital period of 7.5 years. what would its orbital radius be?
Suppose an asteroid orbiting the sun had an orbital period of 7.5 years. 2.72 AU would its orbital radius be
Calculating the problem:
T² = k × R³
T = 7.5 years = 7.5 x 365.25 days/year = 2737.125 days
T = 2737.125 days x 24 hours/day x 60 minutes/hour x 60 seconds/minute = 2.29 x 10⁷ seconds
1 AU is the average distance between the Earth and the Sun.
R³ = T² / k
R = (T² / k)¹/³
R = (2.29 x 10⁷ s)² / k)¹/³
k = 4π² / (6.67 x 10⁻¹¹ m³ kg⁻¹ s⁻² * 1.989 x 10³⁰ kg) = 0.01720209895 x 10¹⁹ m³/s²
R = ((2.29 x 10⁷ s)² / 0.01720209895 x 10¹⁹ m³/s²)¹/³ = 2.72 AU
The amount of time it takes for an astronomical object to complete one orbit around another object is known as the orbital period (also called the revolution period). It typically refers to planets or asteroids that orbit the Sun, moons that orbit planets, exoplanets that orbit other stars, and binary stars in astronomy.
What influences the orbital period?The distance a planet is from the Sun changes the speed of its orbit. The speed at which a planet moves and the strength of the Sun's gravitational pull on it increase with increasing distance from the Sun. The Sun's gravitational pull is weaker and its orbit moves more slowly the further away it is from the Sun.
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28) Refraction results from differences in light's. A) frequency. B) incident angles. C) speed. D) all of the above. E) none of the above.
Refraction results from differences in light's speed. The correct answer is C) speed.
Refraction is the term for the bending of light as it passes through transparent materials (it also occurs with sound, water, and other waves). We are able to create lenses, magnifying glasses, prisms, and rainbows because to this bending caused by refraction.
Refraction occurs when light passes through different mediums and changes its speed. This change in speed causes the light to bend, creating the effect of refraction.
This is why objects appear to be in different positions when viewed through water or a lens. The frequency and incident angles of the light do not affect refraction, only the speed of the light does.
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The 200 kg lift rose to a height of 2 metres in 0.2 minutes. What work did the lift motor do? What is its power?
The power of the lift motor is 330 Watts.
How to determined the work done by the lift motor?The work done by the lift motor can be calculated using the formula for work which is Work = Force x Distance,
where
Force is the lifting force Distance is the vertical distance movedIn this case, the lifting force can be calculated as the gravitational force acting on the lift, which is given by the formula Force = mass x acceleration due to gravity. The acceleration due to gravity is 9.8 m/s^2
So the work done by the lift motor is:
Work = (200 kg) x (9.8 m/s^2) x (2 m) = 3960 Joules
The power of the lift motor can be calculated as the work done per unit time. In this case, the time taken was 0.2 minutes, which is equivalent to 0.2 x 60 = 12 seconds.
So the power of the lift motor is:
Power = Work / Time = 3960 Joules / 12 seconds = 330 Watts.
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A 0. 20 kg mass on a horizontal spring is pulled back 2. 0 cm and released. If, instead, a 0. 40 kg mass were used in this same experiment, the total energy of the system would.
The total energy of the system would be the same regardless of the mass of the object. This is because the energy stored in a spring is a function of the displacement of the spring, and not the mass of the object.
What is the energy ?Energy is the capacity to do work. It is the ability to cause change and can take many forms, such as kinetic, potential, thermal, chemical, electrical, nuclear, and gravitational energy. It is essential for life and is found in all parts of nature. Energy is used to power machines, create materials, and to generate electricity. It is also used to heat and cool buildings, to light homes, and to power vehicles. As energy is used, it is converted into another form, such as heat, light, or sound. While energy can be used up, it is never destroyed. It is always transferred or transformed.
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Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves?A. Mechanical waves have crests and troughs. B. Mechanical waves require a medium for propagation. C. Mechanical waves have well-defined wavelengths. D. Mechanical waves move at a finite speed.
All waves have a wavelength, frequency, speed, and amplitude, and they all share the same fundamental features of reflection, refraction, diffraction, and interference. Thus, option B is correct.
What are the properties of different waves?The height (amplitude), frequency, and length of a wave can all be used to characterize it. Any wave can be thought of as an energy-transferring disturbance.
Compared to mechanical waves, electromagnetic waves are different. The electromagnetic waves can move in vacuums since they have the ability, but sound waves and water cannot, so they require a medium to spread.
Electric and magnetic fields oscillate along with electromagnetic waves in a manner that is perpendicular to the direction of propagation.
therefore, Mechanical waves require a medium for propagation.
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a car slows down from a speed of 72km/h to rest in 25 second.What is the acceleration of the car?
Given,formula,solution and answer pls
Initial speed, u = 72 km/h
Initial speed, u = 72 km/hFinal speed, v = 0 km/h (since the car comes to rest)
Initial speed, u = 72 km/hFinal speed, v = 0 km/h (since the car comes to rest)Time, t = 25 s
Formula:
Formula:The acceleration of an object can be calculated using the formula:
[tex]a = \frac{(v - u)}{t} [/tex]
Where a is the acceleration, v is the final velocity, u is the initial velocity, and t is the time taken.
Solution:Converting the initial velocity to m/s:
u = 72 km/h = (72 × 1000) / (60 × 60) = 20 m/s
Converting the final velocity to m/s:
v = 0 km/h = (0 × 1000) / (60 × 60) = 0 m/s
Substituting the values in the formula:
a = (v - u) / t
a = (0 - 20) / 25
a = -0.8 m/s² (Note: the negative sign indicates that the car is decelerating)
[tex] PLEASE :\ MARK :\ ME :\ AS :\ BRAINLIEST [/tex]
Each different signal in a 1H NMR spectrum represents a different__________of hydrogen atom. Hydrogen atoms that are_______________give the same signal.------------------------------------
Each different signal in a 1H NMR spectrum represents a different type of hydrogen atom. Hydrogen atoms that are equivalent give the same signal.
What is spectrum?In physics, the term "spectrum" refers to the variation in light intensity with wavelength or frequency. A spectroscope is a device created for visual spectral observation, while a spectrograph is a device that captures or maps spectra. Spectra can be categorized based on their types of origin, such as emission or absorption. All the radiations that are emitted by atoms or molecules make up an emission spectrum, whereas, in an absorption spectrum, some wavelengths of a continuous spectrum (light that contains all wavelengths) are absent because they have been absorbed by the medium through which the light has passed; these absent wavelengths are visible as dark lines or gaps.
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What energy conversion is taking place as protons move through ATP synthase?
he energy conversion taking place as protons move through ATP synthase is the conversion of proton motive force into chemical energy in the form of ATP.
When protons move through ATP synthase, they drive the rotation of a subunit called the rotor. This rotation is then transmitted to a subunit called the stator, which catalyzes the synthesis of ATP from ADP and inorganic phosphate. This process is known as oxidative phosphorylation and is a key step in cellular respiration.
The movement of protons through ATP synthase is driven by the electrochemical gradient established across the inner mitochondrial membrane. This gradient is created by the transfer of electrons through the electron transport chain, which ultimately leads to the production of ATP.
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Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves? A.Mechanical waves have crests and troughs. B.Mechanical waves require a medium for propagation. C.Mechanical waves have well-defined wavelengths. D.Mechanical waves move at a finite speed.
Option B. Mechanical waves require a medium for propagation, while electromagnetic waves do not.
Mechanical waves are waves that require a medium to travel through. Examples of mechanical waves include sound waves and water waves. In these waves, energy is transferred through the medium by the particles in the medium oscillating back and forth. Mechanical waves have properties such as amplitude, wavelength, frequency, and speed. They can also have crests and troughs, like ocean waves, but this is not the most fundamental property that distinguishes them from electromagnetic waves.
Electromagnetic waves, on the other hand, do not require a medium to travel through. They can travel through a vacuum, such as the vacuum of space. Examples of electromagnetic waves include radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Electromagnetic waves have properties such as wavelength, frequency, and speed, but they do not have crests and troughs like mechanical waves.
Therefore, the property that most fundamentally distinguishes mechanical waves from electromagnetic waves is that mechanical waves require a medium for propagation.
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which of the gases has the fastest‑moving molecules, on average, at a given temperature?
Answer:
Explanation:
where is the pic
What charge will a dust particle have if it loses electrons as it passes through a positively charged grid?
When a substance lose an electron, it becomes positively charged. The dust particle will acquire positive charge when it losses electrons when it passes through the positively charged grid.
What are charged particles ?An atom contains equal number of electrons and protons. Hence, it possess no net charge and being neutral. When the atom lose or gain electrons it becomes ions.
When the atom lose one electron its number of protons dominates over that of electrons and it acquires a positive charge. When the atom gain an electron the reverse happen and it acquires a negative charge.
Here, the dust particle loses its electron to the positive grid thus it will gain a positive charge.
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Please help with my homework :)
Answer:
λ = V T S is distance between wavefronts, T is period of emitter
λ = 3.00E8 m/s * 1 / 2.40E10 = .0125 m
λ emitted by speed gun = .0125 m
But gun moves Vg * T between wavefronts
λ' = λ - Vg T where λ' is wavelength received by stationary observer
One can calculate T' from 3.00E8 m/s the period seen by observer, that is the period measured by the observer is the speed of light divided by the wavelength received by the observer
Now if the observer is moving the wavelength observed by the observer is λ'' = λ' - Vo T' since the observer will move a distance Vo T' between receiving wavefronts (T' has been calculated)
That is, the waves received by the tennis ball are shortened because of the motion of the tennis ball.
The speed of the wave measured is always 3.00E8 m/s
A.
B.
C.
D.
E.
F.
G.
H.
Direction of magnetic field of the conductor is towards left side of the page. Hence option D is correct.
What is Fleming's left hand rule ?Fleming's left hand rule in magnetism states that, hold the fore finger, middle finger and the thumb of the left hand in a mutually perpendicular position. The forefinger represents the direction of the magnetic field, middle finger represents the direction of the current and the thumb indicates the direction of magnetic force on the conductor.
Here,
The figure of a current carrying wire which is placed in a uniform magnetic field is given.
From the figure,
The direction of force and that of current of the conductor are given.
So,
The direction of force is given by the arrow pointing upwards to the page.
The direction of current is represented by the cross sign. The cross sign indicates that it is perpendicularly inwards to the plane of the page.
It is clear that the force and the current are in a mutually perpendicular direction in the figure.
Applying Fleming's Left Hand Rule,
Holding the fingers such that the thumb pointing upwards of the page and middle finger towards inside of the page. So now the forefinger is directed towards left side of the page.
Therefore, the direction of magnetic field is towards the left of the page.
Hence,
Direction of magnetic field of the conductor is towards left side of the page.
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two children have identical spring-loaded catapults, which contain springs with spring constant k. If Samir compresses the spring in his catapult by a distance x and Mona compresses hers by a distance 2x, hovw does the work they have done to compress their catapults compare? A. Mona has done 2 times as much work as Samir. B. Samir has done 2 times as much work as Mona. C. They have done the same amount of work. D. Mona has done 4 times as much work as Samir.
The correct answer is Mona has done 2 times as much work done as Samir i.e. option A is correct.
The work done to compress a spring by a distance x is given by the formula:
W = (1/2) kx²
where k is the spring constant.
Therefore, the work done by Samir to compress his spring by a distance x is:
W1 = (1/2) kx²
The work done by Mona to compress her spring by a distance 2x is:
W2 = (1/2) k(2x)² = (1/2) k(4x²) = 2(1/2) kx² = kx²
Therefore, the ratio of the work done by Mona to the work done by Samir is:
W2/W1 = (kx²)/[(1/2) kx²] = 2
So, Mona has done 2 times as much work as Samir.
Therefore, the correct answer is A. Mona has done 2 times work as much as done by Samir.
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A closed cylindrical tank filled with water has an hemispherical dome and is connected to an inverted piping system as shown in the figure. The liquid on the top part of the piping system has a specific gravity of .8 and the remaining parts of the system are filled with water. If the pressure gage reading at A is 60kPa determine.
- The pressure in pipe B
- The pressure head at the top of the dome (Point C)
The proposed fluid mechanics problem requires more information to compute the pressure in pipe B and the pressure head at Point C.
We must use the hydrostatic equation, the continuity equation, and the information about the specific gravity and pressure gauge reading provided in order to calculate for the pressure in pipe B and the pressure head at the top of the dome (Point C).
It is impossible to offer a conclusive solution to this issue without more details. The size of the tank and piping system, the height difference between various places, and the precise location and orientation of the pressure gauge are all details that would be necessary for a thorough estimate.
For this reason, further information is needed in order to solve the issue and determine the values for the pressure in pipe B and the pressure head at Point C.
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full question
A closed cylindrical tank filled with water has an hemispherical dome and is connected to an inverted piping system as shown in the figure. The liquid on the top part of the piping system has a specific gravity of .8 and the remaining parts of the system are filled with water. If the pressure gage reading at A is 60kPa determine.
- The pressure in pipe B
- The pressure head at the top of the dome (Point C)
What is the best way to bond electrical wire?
In general, the most prevalent ways of electrical wire bonding are:
Soldering, Wire nuts, Crimping, Terminal blocks, Heat shrink tubing.
Soldering is the process of melting a metal alloy, such as tin or lead, onto wires to form a permanent, low-resistance link. Soldering is frequently used to join fragile or thin wires.
Wire nuts are twist-on connectors that are often used for connecting wires. They are available in a variety of sizes to accommodate various wire gauges and may be quickly removed if necessary.
Crimping is the process of pressing a metal connection onto a wire using a specific tool to produce a strong bond. This technique is frequently utilised in automotive and maritime applications.
Terminal blocks are used to join together many wires. They are made up of a metal strip and screws that keep the wires in place.
Heat shrink tubing is a form of plastic tubing that contracts when heated. It is useful for insulating and protecting splices and connectors.
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What are the forces acting on a catapult?
A mechanical device known as a catapult launches a projectile using stored energy and the forces which works on it are gravity, air resistance, and friction are among the more significant forces.
Both internal and exterior forces can be used to describe the forces operating on a catapult. The catapult's structure, including the tension in the ropes or the compression in the springs, produces internal forces.
The external forces are those that exert external pressure on the catapult, such as the projectile's mass and the wind's force. The tension in the ropes, which supplies the energy needed to propel the projectile, is the most significant force operating on a catapult.
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what are the five points of architecture by le corbusier?
The five points of architecture by Le Corbusier are Pilotis, Free plan, Free facade, Ribbon windows and Roof terrace
The five points of architecture are:
Pilotis: These are reinforced concrete columns that elevate the structure off the ground. The use of pilotis allows for the ground floor to be free of structural elements, enabling flexible use of space and increased light and ventilation.
Free plan: The use of pilotis allows for the creation of an open, free plan that is unconstrained by load-bearing walls. This enables architects to design flexible interior spaces that can be easily reconfigured.
Free facade: The use of pilotis and a free plan allows for the creation of a free facade, which means that the exterior walls are not load-bearing and can be designed purely for aesthetic purposes. This enables architects to experiment with new materials and forms.
Ribbon windows: Continuous bands of windows along the facade, or ribbon windows, enable natural light to penetrate deep into the interior of the building. This allows for a more comfortable and healthy living environment.
Roof terrace: The fifth point of architecture is the inclusion of a roof terrace, which provides additional outdoor space and can be used for a variety of purposes, including gardening and recreation
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two solid spheres, both of radius 5 cm, carry identical total charges of 2 μc. sphere a is a good conductor. sphere b is an insulator, and its charge is distributed uniformly throughout its volume. How do the magnitudes of the electric fields they separately create at radius 4 cm compare?
The electric field created by sphere A will be much greater than the electric field created by sphere B because sphere A has a much higher surface charge density.
What is the electric field of the spheres?The magnitudes of the electric fields created by the two spheres at a radius of 4 cm will be different because they have different charge distributions.
A good conductor, such as sphere A, will distribute its charge evenly over its surface, so the electric field it creates will be proportional to the surface charge density. On the other hand, an insulator, such as sphere B, will have a uniform charge distribution throughout its volume, so the electric field it creates will be proportional to the volume charge density.
The electric field created by a charged sphere at a point outside the sphere can be calculated using the formula:
E = [tex]\mathrm{k \times Q / r^2}[/tex]
where k is the Coulomb constant, Q is the charge on the sphere, and r is the distance from the center of the sphere to the point where the electric field is being calculated.
Using this formula, we can calculate the electric field created by each of the spheres at a radius of 4 cm:
For sphere A:
[tex]\mathrm{E = k \times Q / (r^2) = k \times (2 x 10^-6) / (4^2 x 10^-2)^2 = k \times 2 / 16}[/tex]
For sphere B:
[tex]\mathrm{E = k \times Q / (4r)^2 = k \times (2 x 10^-6) / (4 x 5 x 10^-2)^2 = k \times 2 / 100}[/tex]
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How could you increase the planes drag?
To increase drag force, the plane can have many flaps it can lift vertically, which will help it increase the drag on the airplane, which is useful to help the plane decelerate or roll
What is a drag force?A drag force is a force acting opposite to the relative motion of any object moving with respect to a surrounding fluid. This can exist between two fluid layers (or surfaces) or between a fluid and a solid surface.
To increase drag force, the plane can have many flaps it can lift vertically, which will help it increase the drag on the airplane, which is useful to help the plane decelerate or roll. However, to decrease drag force, the plane needs to be streamlined, in a tear drop shape, but not so much so as to create too much friction drag.
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? Someone help I’m genuinely confused and stuck
A combining form for lungs is "pneum/o".
What is combining form?
In medical terminology, a combining form is a word part that is added to the beginning or end of a root word to modify its meaning. The combining form "pneum/o" is used to refer to the lungs, air, or respiration.
Some common medical terms that use the combining form "pneum/o" include:
Pneumonia: An infection of the lungs that can cause inflammation, coughing, and difficulty breathing.
Pneumothorax: A condition in which air leaks into the space between the lung and chest wall, causing the lung to collapse.
Pneumonectomy: A surgical procedure in which one or more lobes of the lung are removed.
Pneumology: The study of the lungs and respiratory system.
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A 3. 0-m rod is pivoted about its left end. A force of 10 n is applied perpendicular to the rod at a distance of 1. 2 m from the pivot causing a ccw torque, and a force of 5. 2 n is applied at the end of the rod 3. 0 m from the pivot. The 5. 2-n force is at an angle of 30o to the rod and causes a cw torque. What is the net torque about the pivot? (take ccw as positive. ).
The net torque about the pivot is -0.6Nm
Torque is defined as the perpendicular component of force \times distance from pivot point.
#Tnet = £Ti where £Ti is the torques from different applied forces.
T1 = 6N × 1.2 = 7.2N (+ve, counterclockwise)
T2= -5.2N sin 30° 3m (-ve, clockwise)
= -7.8Nm
Tnet = T1+ T2
= 7.2-7.8
= - 0.6Nm
Hence, the total torque is -0.6Nm
What is torque?
Torque is the spinning counterpart of force.Another name for it is the moment of force (also abbreviated to moment).It serves as an example of how a force can alter a body's rotational motion.Archimedes, who investigated the use of levers, is credited with creating the saying, "Give me a lever and a place to stand, and I shall move the Earth."Similar to how a linear force is either a push or a pull, a torque may be thought of as a twisting of an object about a specific axis.To know more about torque, click the link given below:
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A student from Sidney, Australia compares the distance he obtained from the 1-st spark mark to the 25-th spark mark, with the similar result of a student who did the experiment in Gaithersburg, Maryland. Both students operated identical setups powered with 60 Hz AC, reported no missing spark marks, and achieved precision of their measurements in four significant figures. What difference in the results was found? Data for the gravity acceleration on the two locations is provided in the text.
The difference in the results is -0.002 m. This means that the distance between the spark marks in Gaithersburg is slightly smaller than in Sidney.
To solve this problem,
d = (n/2) * c * (1/f)
where d is the distance between consecutive spark marks, n is the number of spark marks, c is the speed of light, and f is the frequency of the AC power source.
number of spark marks is the same, which is 25 - 1 = 24.
The only difference between the two experiments is the location, which affects the value of the gravitational acceleration g. The acceleration due to gravity is different in Sidney and Gaithersburg,
According to the data, the acceleration due to gravity in Sidney is 9.81 m/s^2, and in Gaithersburg it is 9.79 m/s^2.
Using these values,
d(Sidney) = (24/2) * 3.00E+8 m/s * (1/60 Hz) * (1/9.81 m/s^2) = 0.606 m
d(Gaithersburg) = (24/2) * 3.00E+8 m/s * (1/60 Hz) * (1/9.79 m/s^2) = 0.604 m
The difference between these distances is,
d(Gaithersburg) - d(Sidney) = 0.604 m - 0.606 m = -0.002 m
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what is the wavelength in nanometers of light with a frequency of 3.80 × 1014 hz?
The wavelength in nanometers of light is 789 nm. The result is obtained by dividing the speed of light by the frequency.
How to find the wavelength of a light?Wavelength is the distance between the two successive crests or troughs of a wave. The wavelength of a light can be expressed as
λ = c/f
Where
λ = wavelengthc = speed of light f = frequencyThe scientific data shows that the speed of light is 3 × 10⁸ m/s.
So, we get the wavelength by the formula above.
λ = c/f
λ = 3 × 10⁸/3.80 × 10¹⁴
λ = 0.789 × 10⁸⁻¹⁴
λ = 0.789 × 10⁻⁶ m
In nanometers (10⁻⁹), the wavelength is
λ = 789 × 10⁻³ × 10⁻⁶ m
λ = 789 × 10⁻⁹ m
λ = 789 nm
Hence, the wavelength of the light is 789 nanometers.
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