The resulting changes to the frequency spectrum of the sound wave are what allow us to distinguish between different speech sounds.
When the shape of the vocal tract is changed from a neutral configuration, the frequency spectrum of the speech sound is altered. This is because the different resonant frequencies of the vocal tract change as the shape of the tract changes.
The vocal tract acts as a resonator, meaning it amplifies certain frequencies of the sound produced by the vocal cords while attenuating others. When the shape of the vocal tract changes, the resonant frequencies also change, resulting in a different pattern of amplification and attenuation of frequencies in the sound wave. This results in different frequency components being emphasized or suppressed, leading to different sounds.
For example, when the shape of the vocal tract is changed to produce a higher frequency sound like the "ee" sound in "sheep", the resonant frequency of the vocal tract is increased, causing higher frequency components of the sound wave to be amplified more strongly. Similarly, when the shape of the vocal tract is changed to produce a lower frequency sound like the "ah" sound in "father", the resonant frequency of the vocal tract is lowered, causing lower frequency components of the sound wave to be amplified more strongly.
Overall, changing the shape of the vocal tract is a critical part of producing different speech sounds, and the resulting changes to the frequency spectrum of the sound wave are what allow us to distinguish between different speech sounds.
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how much horizontal force f must a sprinter of mass 62 kg exert on the starting blocks to produce this acceleration? express your answer in newtons using two significant figures.
force, horizontal force, mass, acceleration
Answer:
To calculate the horizontal force required, we need to use the formula:
force = mass x acceleration
Given that the mass of the sprinter is 62 kg and the acceleration is not given, we need to use the information provided in the question.
Assume that the acceleration produced is 4.5 m/s^2. Therefore,
force = 62 kg x 4.5 m/s^2
Solving this equation, we get:
force = 279 N (rounded to two significant figures)
Therefore, the sprinter must exert a horizontal force of 279 N on the starting blocks to produce the given acceleration.
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The sprinter must exert a horizontal force of approximately 298 N on the starting blocks to produce the desired acceleration.
The horizontal force required to produce a given acceleration can be found using the equation:
F = ma
where F is the force, m is the mass, and a is the acceleration.
In this case, the mass of the sprinter is 62 kg, and the desired acceleration is[tex]4.8 m/s^2[/tex]. Therefore:
F = (62 kg) x (4.8 [tex]m/s^2[/tex]) = 298 N
So the sprinter must exert a horizontal force of approximately 298 N on the starting blocks to produce the desired acceleration.
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which kind of object, in which a series of drawn images seem to move as book pages are viewed rapidly, was the origin of animation?
The kind of object in which a series of drawn images seem to move as book pages are viewed rapidly, and which is considered as the origin of animation, is called a "flipbook."
A flipbook works by creating the illusion of movement through a rapid sequence of images that show slight changes in position or appearance from one frame to the next. When the pages are flipped quickly, our eyes perceive the images as a continuous motion, giving life to the animated sequence.
The operation of a flipbook is identical to that of animated movies. Your brain is unable to distinguish between the rapidly changing frames with marginally differing illustrations as separate images. The figures appear to be moving, but they actually only "flip" between numerous illustrations, just as in your book, thanks to this technique.
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a person wants to use a camera to take a picture (obtain a small real image on the film inside the camera). where should they place the object in relation to a converging lens to get the correct image?
To obtain a small real image on the film inside the camera, the object should be placed at a distance greater than the focal length of the converging lens.
Some additional information that could be helpful to understand how to obtain a small real image in a camera:
A converging lens is a lens that causes parallel rays of light to converge at a point after passing through it.The distance between the object and the lens is known as the object distance (u), while the distance between the lens and the image formed is known as the image distance (v).The point where the light rays converge after passing through the lens is known as the focal point, and the distance between the focal point and the lens is known as the focal length (f).When an object is placed at a distance greater than the focal length of the lens, a real image is formed on the other side of the lens.The size and orientation of the image formed depend on the distance between the object and the lens and the focal length of the lens.To obtain a small real image on the film inside the camera, the object should be placed at a distance greater than the focal length of the lens, and the lens should be adjusted to focus the image onto the film.Learn More About converging
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a solenoid of length 1.00 cm and radius 0.350 cm has 33 turns. if the wire of the solenoid has 1.55 amps of current, what is the magnitude of the magnetic field inside the solenoid?magnitude of the magnetic field:0.006428tignoring the weak magnetic field outside the solenoid, find the magnetic energy density inside the solenoid.magnetic energy density:0.16439473002j/m3 what is the total magnetic energy inside the solenoid?total magnetic energy:
The total magnetic energy inside the solenoid is 6.33 x 10^-11 J.
What is the magnetic energy inside the solenoid?The total magnetic energy inside the solenoid can be calculated using the formula:
U = (1/2) * μ₀ * n² * A * B²
where U is the magnetic energy, μ₀ is the permeability of free space (4π x 10^-7 T·m/A), n is the number of turns per unit length (n = N/L), A is the cross-sectional area of the solenoid (A = πr²), and B is the magnetic field inside the solenoid.
Plugging in the given values, we get:
n = N/L = 33/0.01 = 3300 turns/m
A = πr² = π(0.0035 m)² = 3.85 x 10^-5 m²
B = 0.006428 T
μ₀ = 4π x 10^-7 T·m/A
Therefore, the magnetic energy density inside the solenoid is:
u = (1/2) * μ₀ * B² = (1/2) * 4π x 10^-7 T·m/A * (0.006428 T)² = 0.1644 J/m³
The total magnetic energy inside the solenoid is given by:
U = u * V
where V is the volume of the solenoid. The volume of the solenoid can be calculated as:
V = πr²L = π(0.0035 m)²(0.01 m) = 3.85 x 10^-7 m³
Plugging in the values, we get:
U = u * V = 0.1644 J/m³ * 3.85 x 10^-7 m³ = 6.33 x 10^-11 J
Therefore, the total magnetic energy inside the solenoid is 6.33 x 10^-11 J.
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explain what happens to the light when the laser is moved downward between the 60 angle and the surface of the less dense medium below
When the laser is moved downward between the 60 angle and the surface of the less dense medium below, the light undergoes refraction.
Refraction is the bending of light as it passes from one medium to another, such as from air to water or from air to glass. The amount of bending that occurs depends on the angle at which the light hits the surface and the difference in density between the two mediums.
In this case, the laser is passing from a more dense medium (air) to a less dense medium (the surface below), so the light will bend away from the normal (a line perpendicular to the surface) as it enters the less dense medium.
The amount of bending will be determined by the angle of incidence (the angle at which the light hits the surface) and the refractive index of the less dense medium.
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Question 2 of 25
You burn a log on a fire. You use the fire to warm yourself and to help you see
to read a book. What energy transformation is taking place?
A. Nuclear energy is transformed to light energy and heat energy.
OB. Chemical energy is transformed to nuclear energy and heat
energy.
C. Nuclear energy is transformed to light energy and chemical
energy.
OD. Chemical energy is transformed to light energy and heat energy.
Answer:
A
Explanation:
the answer is A because the energy is light and heat
Answer:
i think it's, Chemical energy is transformed to light energy and heat energy.
Explanation:
i used the last brain cells i had...lol...pls mark brainliest
2. What type of color and light did Turner use in your painting? (Please refer to the formal powerpoint for more information:
3. What is the subject of your painting? How does the subject reflect the turbulence of the times?
The subject of the painting is a seascape, with a storm raging in the background. The turbulent waves and dark clouds reflect the turbulence of the time.
What is waves ?Waves are a type of energy that moves in a periodic pattern and is created when a force is applied to a medium. Waves are characterized by their amplitude, frequency, and wavelength. They can propagate through different mediums such as air, water, and solids. Examples of waves include sound, light, and seismic. Waves are used in various scientific fields, such as physics and engineering, as well as in everyday life. For example, sound waves are used to communicate, and light waves are used for vision. Waves can also be used to measure distances, such as in radar and sonar.
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two cars collide, lock bumpers, and move together after the collision. What kind of collision is this?
The type of collision that occurs when two cars collide, lock bumpers, and move together after the collision is an inelastic collision.
When two objects collide, the type of collision that occurs is determined by whether or not kinetic energy is conserved. In an elastic collision, kinetic energy is conserved, meaning that the total kinetic energy of the objects before the collision is equal to the total kinetic energy of the objects after the collision.
In an inelastic collision, kinetic energy is not conserved, and some or all of the kinetic energy is transformed into other forms of energy, such as heat, sound, or deformation of the objects involved in the collision. In the case of two cars colliding and locking bumpers, the kinetic energy of the cars before the collision is transformed into other forms of energy, such as deformation of the cars' frames and the sound of the impact.
After the collision, the cars are stuck together and moving as a single object, indicating that momentum is conserved. Momentum is always conserved in collisions, regardless of whether they are elastic or inelastic. In the case of the two cars colliding and locking bumpers, the momentum of the cars before the collision is equal to the momentum of the cars after the collision, even though some of the kinetic energy has been lost.
In conclusion, when two cars collide, lock bumpers, and move together after the collision, this is an example of an inelastic collision, where kinetic energy is not conserved, but momentum is conserved.
This is an inelastic collision. In an inelastic collision, kinetic energy is not conserved, and the colliding objects stick together after the collision. In this case, the two cars have locked bumpers and moved together after the collision, indicating that they have become stuck together and are moving as a single object.
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The steel used for piano wire has a tensile strength p_T of 3*10^9 N/m^2 and a density ⍴ of 7800 kg/m^3. What is the speed v of a wave traveling down such a wire if the wire is stretched to its breaking point?
express the speed in m/s to the nearest integer.
The speed of a wave traveling down a wire can be calculated using the formula. Therefore, the speed of a wave traveling down a piano wire stretched to its breaking point is approximately 620 m/s.
v = √(p_T/⍴)
where p_T is the tensile strength and ⍴ is the density of the wire.
Substituting the given values, we get:
v = √(3*10^9 N/m^2 / 7800 kg/m^3)
v = √384615.3846 m^2/s^2
v ≈ 620 m/s
Therefore, the speed of a wave traveling down a piano wire stretched to its breaking point is approximately 620 m/s.
You want to find the speed v of a wave traveling down a piano wire, given that the tensile strength p_T is 3*10^9 N/m^2 and the density ⍴ is 7800 kg/m^3 when the wire is stretched to its breaking point.
To calculate the wave speed v, we can use the formula:
v = sqrt(T/μ),
where T is the tension in the wire and μ is the linear mass density of the wire.
Since the wire is stretched to its breaking point, the tension T equals the tensile strength p_T:
T = p_T = 3*10^9 N/m^2.
To find the linear mass density μ, we need to know the cross-sectional area A and the length L of the wire. However, we can express μ in terms of the given density ⍴:
μ = (A * L * ⍴) / L = A * ⍴.
Now we can plug the values of T and ⍴ into the wave speed formula:
v = sqrt((3*10^9 N/m^2) / (A * 7800 kg/m^3)).
Since the cross-sectional area A does not affect the final answer, we can remove it from the formula:
v = sqrt((3*10^9 N/m^2) / (7800 kg/m^3)).
Now, compute the wave speed:
v ≈ sqrt(384615.38 m^2/s^2) ≈ 620 m/s.
So, the speed of a wave traveling down such a piano wire when stretched to its breaking point is approximately 620 m/s to the nearest integer.
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The length of a simple pendulum with a period on Earth of 2.0 seconds is most nearly:
The length of a simple pendulum with a period on Earth of 2.0 seconds is most nearly 0.99 m.
A basic pendulum is a machine in which the point mass is hung from a fixed support by a light, inextensible string. The mean position of a simple pendulum is shown by a vertical line flowing through a fixed support. The length of the simple pendulum, abbreviated L, is the vertical distance between the point of suspension and the suspended body's centre of mass (when it is in mean position). The resonant mechanism supporting this type of pendulum has a single resonant frequency.
Period of the simple pendulum is given by,
T = 2π√L/g
Given,
T = 2 s
g = 9.8 m/s² ( acceleration due to gravity)
putting values in the equation,
2 = 2π√L/9.8
4=4π²L/9.8
L = 0.99 m
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[Show student response to predict question] Explain why the latent period became longer as the load became heavier in the experiment. How well did the results compare with your prediction?
In the experiment, as the load became heavier, the latent period became longer. This can be explained by the fact that as the load increases, it takes more time for the muscle fibers to generate enough force to move the load.
Some additional information that could be helpful to understand the relationship between load and latent period:
The latent period is the time between the initiation of the muscle stimulation and the onset of the muscle contraction.The load is the amount of weight or force that is placed on the muscle during the experiment.As the load increases, the muscle fibers must generate more force to move the load, and this process takes more time, resulting in a longer latent period.The relationship between load and latent period is not always linear and can vary based on other factors such as muscle type and fatigue.In terms of the comparison between the results and the prediction, it would depend on the specific hypothesis and expectations of the experiment. If the hypothesis predicted a longer latent period with heavier loads, and the results supported this, then the prediction would be considered accurate. If the results did not align with the prediction, further analysis and investigation may be necessary to understand why.As a result, the time between the stimulation of the muscle and the initiation of the contraction (latent period) increases.
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with what tension must a rope with length 2.40 m and mass 0.135 kg be stretched for transverse waves of frequency 35.0 hz to have a wavelength of 0.780 m ?
Tension, mass, transverse wave, wavelength, frequency.
Answer:
To calculate the tension required in the rope, we can use the formula:
Tension = (mass per unit length) x (velocity of wave)^2
First, we need to calculate the mass per unit length of the rope:
mass per unit length = total mass / length
mass per unit length = 0.135 kg / 2.40 m
mass per unit length = 0.05625 kg/m
Next, we need to calculate the velocity of the wave using the formula:
velocity of wave = wavelength x frequency
velocity of wave = 0.780 m x 35.0 Hz
velocity of wave = 27.3 m/s
Now we can substitute these values into the formula for tension:
Tension = (0.05625 kg/m) x (27.3 m/s)^2
Tension = 42.7 N
Therefore, the tension required in the rope to produce transverse waves of frequency 35.0 Hz and wavelength 0.780 m is 42.7 N.
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The speed of transverse waves on a rope is given by:
v = √(T/μ),
where T is the tension in the rope and μ is the linear mass density of the rope (mass per unit length). The frequency and wavelength of the wave are related to the speed of the wave by:
v = fλ.
We can solve for T by combining these equations:
T = μ[tex]v^2[/tex] = μ(fλ[tex])^2.[/tex]
First, we need to find the linear mass density of the rope:
μ = m/ℓ = 0.135 kg / 2.40 m = 0.05625 kg/m.
Next, we can solve for T:
T = μ(fλ[tex])^2[/tex] = (0.05625 kg/m)(35.0 Hz)(0.780 m[tex])^2[/tex] = 1.32 N.
Therefore, the tension in the rope must be 1.32 N.
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Calculate the equivalent resistance. All resistors are identical, R=3Ω:
The equivalent resistance of three identical 3 Ω resistors in parallel is 3 Ω.
To calculate the equivalent resistance of identical resistors in parallel, we can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
where Req is the equivalent resistance and R1, R2, R3, etc. are the individual resistances.
In this case, we have three identical resistors in parallel, so we can simplify the formula to:
1/Req = 1/R + 1/R + 1/R = 3/R
Multiplying both sides by R/3, we get:
R/3 = 1/Req
Therefore:
Req = 3/1 = 3 Ω
So the equivalent resistance of three identical 3 Ω resistors in parallel is 3 Ω.
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STT 6.3 A car is tolling over the top of a hill at constant speed V. At this instant, A N > WB N
A car is tolling over the top of a hill at constant speed V. At this instant, N=W. So, the correct option is C).
The normal force (N) is the force exerted by the surface on the car perpendicular to the surface. The weight force (W) is the force exerted by gravity on the car in the downward direction.
At the top of the hill, the car is momentarily at rest and therefore the net force on the car is zero. This means that the normal force must be equal in magnitude and opposite in direction to the weight force to balance the forces and prevent the car from accelerating in any direction.
Therefore, the correct answer is C). N=W.
The speed of the car (v) does not affect the normal force at the top of the hill as long as the car is not accelerating in any direction.
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--The given question is incomplete, the complete question is given
" A car is rolling over the top of a hill at speed v. At thisinstant,
A. N>W
B. N<W
C. N=W
D. We can't tell about N without knowing v."--
Suppose you wanted to get rid of 12C nuclei and in the process release energy. In principle, this could be done by
To get rid of 12C nuclei and release energy is through a process called nuclear fusion.
How would you get rid of 12C nuclei?One way to get rid of 12C nuclei and release energy is through a process called nuclear fusion. Nuclear fusion is the process in which two or more atomic nuclei come together to form a heavier nucleus, releasing a large amount of energy in the process.
In the case of 12C nuclei, one possible fusion reaction is the combination of two 12C nuclei to form a 24Mg nucleus:
12C + 12C → 24Mg + energy
This reaction can release a significant amount of energy, as predicted by Einstein's famous equation[tex]E=mc^2[/tex], which describes the conversion of mass into energy.
However, achieving nuclear fusion requires extremely high temperatures and pressures, as well as precise conditions to initiate and sustain the fusion reaction. This is why fusion is currently not a practical source of energy for most applications, although research is ongoing to develop viable fusion power technologies.
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When two long parallel wires carry equal currents, the magnitude of the magnetic force that one wire exerts on the other is F. If the current in both wires is now doubled, what is the magnitude of the new magnetic force on each wire? A) 8F B) 4F C) 2F D) F (no change)
When the current in both wires is doubled, the magnitude of the new magnetic force on each wire is 4 times the original force, which corresponds to option B) 4F.
When the current in both wires is doubled, the magnitude of the new magnetic force on each wire is:A) 8F
Here's a step-by-step explanation:
1. The magnetic force (F) between two parallel wires carrying current is given by the formula:
F = (μ₀ × I₁ ×I₂ ×L) / (2 × π × d)
where μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, L is the length of the wires, and d is the distance between the wires.
2. Now, let's double the current in both wires, so the new currents are 2I₁ and 2I₂.
3. Substitute the new currents into the formula:
F' = (μ₀ × (2I₁) × (2I₂) × L) / (2 × π × d)
4. Simplify the equation:
F' = (4 × μ₀ × I₁ × I₂ ×L) / (2 × π ×d)
5. Notice that the original force equation (F) is a part of the new force equation (F'):
F' = 4 × (μ₀ ×I₁ × I₂ ×L) / (2 × π ×d)
6. Since the term in the parentheses is equal to the original force (F), the new force is:
F' = 4 × F
So, when the current in both wires is doubled, the magnitude of the new magnetic force on each wire is 4 times the original force, which corresponds to option B) 4F.
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To take off from an aircraft carrier, a 21000 kg jet needs to accelerate at 36.9 m/s^2. How much force is required? (unit = N)
The force required for the jet to take off from an aircraft carrier is 773,490 N (Newton).
To calculate the force required for the jet to take off from the aircraft carrier, you can use Newton's second law of motion, which is:
Force (F) = Mass (m) × Acceleration
(a) Given the mass (m) of the jet as 21,000 kg and the acceleration
To calculate the force required for the 21000 kg jet to accelerate at 36.9 m/s^2, we need to use Newton's second law of motion which states that force (F) is equal to mass (m) multiplied by acceleration (a).
So,
F = m x a
F = 21000 kg x 36.9 m/s^2
F = 773,490 N
∴ force required = 773,490 N
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monochromatic light with a wavelength of 439 nm passes through a single slit and falls on a screen 91 cm away. if the distance of the first-order dark band is 0.41 cm from the center of the pattern, what is the width of the slit?
The width of the slit is approximately [tex]1.78[/tex]x [tex]10^{-5}[/tex]meters
To solve this problem, we can use the equation for the location of the dark bands in a single-slit diffraction pattern:
sin(θ) = (mλ) / w
Where θ is the angle between the center of the pattern and the m-th dark band, λ is the wavelength of the light, w is the width of the slit, and m is the order of the dark band (in this case, m = 1).
We can rearrange this equation to solve for the slit width:
w = (mλ) / sin(θ)
Plugging in the given values, we have:
λ = 439 nm = 4.39 x [tex]10^{-7}[/tex] m
m = 1
θ = [tex]tan^{-1}[/tex] (0.41 / 91) = 0.00245 radians
Plugging these values into the equation, we get:
w = (1 x 4.39 x [tex]10^{-7}[/tex]) / sin(0.00245) = 1.78 x [tex]10^{-5}[/tex] m
Therefore, the width of the slit is approximately 1.78 x[tex]10^{-5}[/tex] meters.
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Compute the wavelength for a 6.5eV photon (in nm).
A wavelength can be transformed into electronvolts (eV), a unit of energy: Make use of the Planck energy equation E = h c /. The photon's wavelength is 1240 nm with an energy of 6.5 eV, or 196 nm.
A wavelength example is what?Examples of waves. All visible light has a wavelength between 400 and 700 nanometers (nm). The wavelength of yellow light is approximately 570 nanometers. Infrared, or "redder than red," energy has a wavelength that is too long to be seen.
What exactly is a light wavelength?"The distance between both of the subsequent crests or troughs of both the light wave" is how the light's wavelength is described. The Greek letter omega () is used to represent it. Hence, the wavelength is defined as the separation between one wave's crest or trough and the following wave.
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[Show student response to predict question] Explain why the shortening velocity became slower as the load became heavier in this experiment. How well did the results compare with your prediction?
Based on the data from the experiment, it was observed that as the load became heavier, the shortening velocity of the muscle became slower. This is because as the load increases, the muscle fibers have to work harder to contract and generate force to lift the load, which in turn leads to a decrease in shortening velocity.
As for my prediction, I had anticipated that the shortening velocity would decrease as the load increased, based on the known relationship between load and muscle contraction. The results of the experiment were consistent with my prediction, which indicates that my understanding of the topic was accurate.
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T/F in the vertical direction, the ground reaction force is the effective force
True , in the context of biomechanics, the ground reaction force is the force exerted by the ground on a body in contact with it. In the vertical direction, the ground reaction force is the effective force that opposes the body's weight and is responsible for maintaining its equilibrium. This force is created as a response to the force exerted by the object on the ground due to gravity.
When an object is in contact with the ground, the ground pushes back with an equal and opposite force, as described by Newton's third law of motion. This ground reaction force ensures that the object remains in equilibrium and does not accelerate in the vertical direction when no other forces are acting on it.\
This force is essential for activities such as walking, jumping, and running, as it allows the body to push off the ground and generate motion. Additionally, the magnitude and direction of the ground reaction force can provide valuable information about the body's movement patterns and the forces acting on it during various activities.
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A proton and an electron are in a vacuum and are separated by 0.10 nanometers. Protons are approximately 2000 times more massive than an electron. Note that protons and electrons have the same charge, but with opposite signs (protons carry a positive charge and electrons carry a negative charge). Which answer best describes the forces exerted by the two particles?
The proton and electron will exert equal and opposite forces on each other due to their opposite charges. The force of attraction between them will be significant due to their close proximity of 0.10 nanometers.
However, the proton's larger mass means it will experience a smaller acceleration compared to the electron.
When a proton and an electron are separated by 0.10 nanometers in a vacuum, the forces exerted by the two particles can be best described as attractive forces due to their opposite charges. The proton carries a positive charge, while the electron carries a negative charge. Although the proton is approximately 2000 times more massive than the electron, the electrostatic forces between them will still be equal and opposite, following Newton's third law of motion.
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if a cannonball is shot off a cliff with a certain initial velocity in the x direction, the two-dimensional motion that results is known as projectile motion. But will it continue to move forward in that direction at the same velocity and at the same time fall in the y direction as a result of the gravitational attraction between the Earth and the ball?
The cannonball executing projectile motion will be then accelerated downwards due to the gravitational attraction of earth.
Projectile motion is the motion under the only influence of gravitational force.
The cannonball shot from the cliff with certain velocity, will follow a projectile motion. If there is no gravity, the cannonball will continue its horizontal motion according to law of inertia.
But here, due to the gravitational attraction between the Earth and the ball, it will accelerate downwards.
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a playground rides consist of a disk of mass and radius mounted on a low friction axle if the disk was initially at rest now how fast is it rotating
The angular velocity of the rotating disk can be found after finding the values of torque, a moment of inertia, and angular acceleration.
To determine how fast a playground ride consisting of a disk of mass and radius mounted on a low friction axle is rotating, we need to know the following terms:
torque, a moment of inertia, and angular acceleration.
Step 1: Calculate the moment of inertia (I) of the disk using the formula:
I = (1/2) * mass * radius².
Step 2: Determine the torque (τ) applied to the disk.
For this, we need information about the force applied and the distance from the axle. The formula is:
τ = force * distance.
Step 3: Calculate the angular acceleration (α) using the relationship between torque and moment of inertia:
τ = I * α.
Solve for α:
α = τ / I.
Step 4: Find the angular velocity (ω) after a given time (t) using the equation:
ω = α * t, where t is the time elapsed since the disk was initially at rest.
Without specific values for mass, radius, force, distance, and time, I cannot provide a numerical answer.
However, you can follow these steps to find the angular velocity of the rotating disk once you have the necessary information.
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1. a uniform pressure of 7.0 X 10^5 N/m^2 is applied to all six sides of a copper cube. what is the percentage change in volume of the cube? (for copper B= 14x 10^10 N/m^2
B) How large a force is necessary to stretch a 2.0mm diameter steel wire by 1%? ( Y= 2.0x10^11 N/m^2) Hint: the cross sectional area of a circular wire is pir^2
A. The percentage change in volume of the copper cube is 3%.
B. The force necessary to stretch a 2.0 mm diameter steel wire by 1% is approximately 25.1 N.
A.
To find the percentage change in volume of the copper cube, we can use the formula:
ΔV/V = 3BΔP/Β
Where ΔV/V is the fractional change in volume,
B is the bulk modulus of the material (given as [tex]14\times10^{10}\: N/m^2[/tex] for copper), and ΔP is the change in pressure.
Since the pressure is the same on all six sides of the cube,
ΔP = [tex]7.0\times10^5 \:N/m^2.[/tex]
Substituting the values into the formula, we get:
ΔV/V = [tex]3(14\times10^{10}\: N/m^2)(7.0\times10^5 N/m^2)/(14\times10^{10}\: N/m^2)[/tex]
ΔV/V = 0.03 or 3%
B.
To find the force necessary to stretch a 2.0 mm diameter steel wire by 1%, we can use the formula:
F = AΔL Y/L
Where F is the force required,
A is the cross-sectional area of the wire (given as πr^2, where r = 1.0 mm = 0.001 m),
ΔL is the change in length (given as 1% of the original length, or 0.01 x 2.0 mm = 0.02 mm = 0.00002 m),
Y is the Young's modulus of the material (given as 2.0x10^11 N/m^2), and L is the original length of the wire (which we will assume to be 1 meter for simplicity).
Substituting the values into the formula, we get:
F = [tex]\pi(0.001 m)^2 (0.00002 \:m) (2.0\times10^{11}\: N/m^2) / 1 m[/tex]
F ≈ 25.1 N
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A 1.5-kg object has a velocity of 5j m/s at t = 0. It is accelerated at a constant rate for five seconds after which it has a velocity of (6i + 12j) m/s. What is the direction of the resultant force acting on the object during this time interval?
1) 65°
2) 56°
3) 61°
4) 49°
5) 27°
The direction of the resultant force acting on the object during this time interval is 49° (option 4).
To find the direction of the resultant force acting on the object, we first need to determine the acceleration during this time interval. We can use the formula:
final_velocity = initial_velocity + acceleration * time
Let's rearrange this formula to find acceleration:
acceleration = (final_velocity - initial_velocity) / time
The initial velocity is given as 5j m/s, and the final velocity is (6i + 12j) m/s. The time interval is 5 seconds.
acceleration = ((6i + 12j) - 5j) / 5 = (6i + 7j) / 5 = (6/5)i + (7/5)j
Now we can find the resultant force acting on the object using Newton's second law:
force = mass * acceleration = 1.5 * ((6/5)i + (7/5)j) = (9i + 10.5j) N
To find the direction of the force, we can calculate the angle θ with respect to the positive x-axis using the arctangent function:
θ = arctan(opposite/adjacent) = arctan(10.5/9)
θ ≈ 49°
So, the direction of the resultant force acting on the object during this time interval is 49° (option 4).
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Two forces act on a 39 kg mass to give it an acceleration of 40 m/s 2 in the positive x direction. If one of the forces acts in the negative y direction with a magnitude of 150 N, what is the magnitude of the second force? Answer in units of N.
The magnitude of the second force is 1710 N.
What is force?Force is the product of mass and acceleration.
To calculate the magnitude of the second force, we use the formula below
Formula:
F' = F+ma................... Equation 1Where:
F' = Magnitude of the second forceF = Magnitude of the first forcem = Mass a = AccelerationFrom the question,
Given:
F = 150 Nm = 39 kga = 40 m/s²Substitute these values into equation 1
F' = 150+(40×39)F' = 150+1560F' = 1710 NLearn more about force here: https://brainly.com/question/25239010
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Write 2 – 3 sentences explaining how quantum mechanics describes light and matter. How do the distinct lines in the emission spectra of elements support the idea that light can behave as a particle?
what occurs when the loop of a cell goes from the positive to negative terminals of a battery
If the positive charge moves from the positive terminal to the negative terminal then the force is attractive and the charge loses potential energy.
So in that sense the negative terminal means negative potential energy.
below shows a closed wire loop but with the magnetic field pointing out of the screen. that's what the little circle dot symbols mean. now that would be as if we held a magnet in front of the loop with the south end facing the screen. suppose we now move the magnet away from screen. the field coming out of the loop is getting weaker. by lenz' law, we know which way the induced magnetic field must be pointing to oppose the change we are making. the question is, which way is the induced current moving inside the coil?
According to Lenz's law, the induced current inside the coil must be flowing in a direction that creates a magnetic field opposing the change in the external magnetic field.
Since the external magnetic field is decreasing as the magnet moves away from the screen, the induced current must be flowing in a direction that creates a magnetic field pointing into the screen to oppose this change. Therefore, the induced current inside the coil is flowing in a clockwise direction.
The strength of the magnetic field is directly proportional to the current in the wire. The strength of the magnetic field is inversely proportional to the distance from the wire
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