Every time the driver presses the brakes, the anti-lock brake system activates. ABS was initially created for boats. If the brake pulsates while ABS is active.
When the driver applies the brakes, does the anti-lock brake system activate?
Every time the driver presses the brakes, the anti-lock brake system activates. When ABS is engaged, a grinding sound is typical. ABS enables you to brake as hard as possible while still steering. Your ABS will not function properly if a warning light illuminates.
What are the functions of anti-lock brakes?By giving your tires some traction again in an emergency, anti-lock braking systems (ABS) assist you in steering. How It Works: aids in preventing wheel locking, potentially enabling the motorist to maneuver to safety. What It Isn't Able To Do The stopping distance may not be shortened; the pedal may shake or push back; this is okay.
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suppose that a car skids 15 m if it is moving at 50 km/h when the brakes are applied. assuming that the car has the same constant deceleration, how far will it skid if it is moving at 100 km/h when the brakes are applied?
The skid distance at 100 km/h when the brakes are applied will be = 60 m.
What is deceleration?In the same way that a velocity is the rate of change of displacement, acceleration is the rate of change of velocity. Whenever a car increases its velocity, it is said to be accelerating and when it is slowing down, it is said to be decelerating.
As skid distance is proportional to the square of the velocity, so, if the skid distance is 15 m at 50 km/h, then the skid distance at 100 km/h will be proportional to (100/50)^2 = 4 times longer.
Therefore, the skid distance at 100 km/h will be 4 * 15 m = 60 m.
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a mass suspended from a spring is oscillating up and down in a simple harmonic motion. consider two possibilities: (i) at some point during the oscillation the mass has zero velocity but is accelerating; (ii) at some point during the oscillation the mass has zero velocity and zero acceleration. which statement about these two possibilities is correct?
A mass suspended from spring is oscillating up and down in simple harmonic motion, then : Option (i) is correct.
What is simple harmonic motion?In simple harmonic motion, velocity of the mass is zero at the extreme positions of its oscillation, but acceleration is not zero. Acceleration is maximum at the extreme positions, where the velocity is zero, and it is directed towards the equilibrium position.
Simple harmonic motion is the repetitive movement back and forth through an equilibrium, or central, position, so that maximum displacement on one side of this position is equal to maximum displacement on the other side.
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in the solar panel system presented in the video, which of the following was necessary to generate usable electrical current for a home? in the solar panel system presented in the video, which of the following was necessary to generate usable electrical current for a home? electrical energy had to be stored in batteries for several days. dc power had to be converted to ac. the electrical energy had to be converted to nuclear energy. the heat of the sun had to be used to generate steam.
The heat of the sun had to be used to generate steam was necessary to generate usable electricity for a home.
Electronics known as solar cells are used in solar photovoltaic (PV) systems to convert sunlight directly into electricity. The PV cells on a solar panel capture the energy from the sun's rays as it shines on the panel. In reaction to an internal electrical field within the cell, this energy generates electrical charges that move, which results in the flow of electricity. Chemical reactions between solar photons and silicon crystals produce an electron flow. Nevertheless, because to the high cost and difficulty in obtaining silicon crystals of adequate quality, household solar systems are often built using equivalent but less expensive parts like copper, indium, gallium, and selenide (CIGS).
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Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday. How much did he use in all?
The total amount of flour he used in all is 115kg
What is Addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. When two whole numbers are added, the sum or total of those values is obtained.
Given that Baker Bill used 67 kilograms of flour on Monday. He used 48 kilograms of flour on Tuesday
We would add the kg of flour he used
This would be 67 + 48 = 115kg of flour
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a certain lcd projector contains a single thin lens. an object 24.0 mm high is to be projected so that its image fi lls a screen 1.80 m high. the object-to-screen distance is 3.00 m. (a) determine the focal length of the projection lens. (b) how far from the object should the lens of the projector be placed to form the image on the screen?
a) To determine the focal length of the projection lens, we can use the lens equation:
[tex]1/f = 1/d_o + 1/d_i[/tex]
where f is the focal length,[tex]d_o[/tex]is the distance from the object to the lens, and [tex]d_i[/tex] is the distance from the lens to the image. Since we know the object-to-screen distance[tex](d_i = 3.00 m)[/tex]and the height of the object [tex](h_o = 24.0 mm)[/tex]and the height of the image [tex](h_i = 1.80 m)[/tex] , we can use the magnification formula to solve for [tex]d_o[/tex]:
[tex]h_i/h_o = d_i/d_od_o = d_i * (h_o / h_i) = 3.00 m * (24.0 mm / 1.80 m)[/tex]
Now that we have [tex]d_o,[/tex] we can use the lens equation to solve for the focal length:
[tex]1/f = 1/d_o + 1/d_i[/tex]
[tex]f = 1 / (1/d_o + 1/d_i) = 1 / (1/d_o + 1/3.00 m)[/tex]
(b) To form the image on the screen, the lens of the projector should be placed at the focal point of the lens. The distance from the object to the lens is given by [tex]d_o = f,[/tex] so the lens should be placed at a distance of [tex]f = 1 / (1/d_o + 1/3.00 m)[/tex] from the object.
What is focal length?Focal length is a measure of the optical power of a lens, defined as the distance from the lens to the point at which light rays converge to form a sharp image. It is an important parameter in photography and optics, as it determines the magnification and angle of view of the image.
A shorter focal length results in a wider angle of view and greater magnification, while a longer focal length results in a narrower angle of view and lower magnification.
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what is the most rare dimonde
The most valuable and rarest diamonds in the world are red ones.They are also referred to as Fancy Reds and come in a range of hues from orange-red through brownish red.
Who has the most valuable diamond?The most valuable diamond in the entire world is the Kohinoor.The main diamond for the British Crown is an oval stone 109 carats in weight that weighs 21.6 grams, according to reports.The diamond currently belongs to Queen Elizabeth II and may be traced back to India.The diamond is thought to be priceless due to its rarity.
What kind of diamond is the priciest?Which Diamond Color Has The Highest Cost?Red diamonds represent the most valuable diamond color, despite the fact that white diamonds are more common.This is mainly because they are so uncommon.Red diamonds differ from those other colored diamonds in that they have a different source for their hue.
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a point charge with charge -8.29 c is moved from coordinate (-0.564, 2.33) to coordinate (-2.11, 7.37) in a potential v produced by other charges. if the change in v is 5.96 volts, what is the change in the potential energy in joules of the system? the coordinates are given in meters. hint: some of the information given in this problem is not necessary to solve the problem.
The potential energy has decreased as the point charge was moved to a higher potential.
Which energy has potential?Potential energy is a type of stored energy that depends on how various system elements interact with one another. A spring's potential energy rises when it is crushed or stretched.
Instead of being a property of specific objects or particles, potential energy is a property of systems. For instance, the system composed of Earth and the elevated ball has more potential energy as they move away.
The energy stored between the capacitor's plates when it is charged is known as electrical potential energy.
Systems with components whose configurations, or relative positions, affect the strength of the forces they apply to one another, create potential energy. The gravitational pull of the Earth-ball system entirely depends on their distance from one another.
The change in potential energy (ΔU) can be calculated using the equation:
ΔU = q ΔV
where q is the charge of the point charge (-8.29 C) and ΔV is the change in potential (5.96 V).
So,
ΔU = -8.29 C * 5.96 V = -49.38 J
The negative sign indicates that the potential energy has decreased as the point charge was moved to a higher potential.
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The acceleration due to gravity on the moon is 1.62 m/s2. What is the length in centimeters of a pendulum whose period on the moon matches the period of a 1.00-m-long pendulum on the earth?
The pendulum on the moon is 16.5 cm long and has the same period as an earthly pendulum that is 1.00 m long.
How does acceleration work?The pace at which speed changes is known as acceleration. Acceleration typically, but not always, indicates a change in speed. Because the direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.
What is the SI unit for acceleration?In physics, acceleration is the rate at which an object's velocity changes over time. According to Newton's Second Law, an object's acceleration is the end outcome of all forces acting on it. The meter per second squared is the unit of acceleration used in the SI system.
The formula for the period of a pendulum is,
T = 2π * √(l / g)
where, T = period, l = length, and g = acceleration due to gravity.
Substitute values,
T = 2π * √(l / 1.62) = 2π * √(1 / 9.8) = 2π * √(1 / 9.8) * √(1.00 / l)
Solving for l, we get:
l = (1.00 * 1.62) / 9.8 = 0.165 m = 16.5 cm
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treat each of your eyes as a circular aperture of diameter 4.8 mm. light of wavelength 536 nm is used to view two point sources that are 140 m distant from you. how far apart must these two point sources be if they are to be just resolved by your eye? assume that the resolution is diffraction limited and use rayleigh's criterion.
Eyes of circular aperture of diameter 4.8 mm. The light of wavelength 536 nm used to view the two point sources that are 140 m. The far apart must be the two point of source, if they are to just resolved by the eyes is 1.8 × 10⁻⁵ cm cm.
The wavelength = 536 nm
The diameter = 4.8 mm
The angle under which the two point source ca be identified as the separated :
Ф = 1.22 ( λ / d)
Where
The λ = wavelength
d = diameter
Ф = 1.22 ( 536 × 10⁻⁹ m/ 4.8 × 10⁻³ m)
= 1.3 × 10⁻⁴
Now, Ф = sin Ф = tan
The distance between the two points is :
d = 1.3 × 10⁻⁴× 140 × 10⁻³ cm
= 1.8 × 10⁻⁵ cm
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calculate the gravitational field strength on the surface of mars. mars has a radius of 3.43x106 m and a mass of 6.37x1023 kg
Gravitational field strength on the surface of Mars is approximately 3.71 m/s².
What is gravitational field?Gravitational field is a model used to explain the influences that massive body extends into the space around itself, producing force on another massive body.
The gravitational field strength (g) on the surface of a planet can be calculated using the formula:
g = GM / r²
where G is the gravitational constant (6.67 x 10⁻¹¹ Nm²/kg²), M is the mass of the planet, and r is the radius of the planet.
Plugging in the values for Mars:
g = (6.67 x 10⁻¹¹ Nm²/kg²) x (6.37 x 10²³ kg) / (3.43 x 10⁶ m)^2
g = 3.71 m/s²
So the gravitational field strength on the surface of Mars is approximately 3.71 m/s².
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OPIC # 8 WAVES QUESTION Q23/P13/M/J/16 21 A beam of red laser light has length 1.0m. What is the order of magnitude of the number of wavelengths of the red light in 1.0m? A 10^4 B 10^6 C 10^8 D 10^10
Answer:
The order of magnitude of the number of wavelengths of red light in 1.0m is B) 10^6.
Explanation:
The wavelength of red laser light is around 700 nm, or 7 x 10^-7 meters. Therefore, the number of wavelengths of red light in 1.0 meter is (1.0 m) / (7 x 10^-7 m) = 1.0 / 7 x 10^-7 = 1.0 / 7 x 10^7 = approximately 10^7. The order of magnitude is 10^6.
a parallel-plate capacitor has circular plates of 8.20 cm radius and 1.30 mm separation. (a) calculate the capacitance. (b) find the charge for a potential difference of 120 v.
The capacitance is 7.80 x 10^-10 F and the charge for a potential difference of 120 v IS 9.36 x 10^-8 C
a) To calculate the capacitance of a parallel-plate capacitor, the formula is given by:
C = ε0 * A / d
where C is the capacitance, ε0 is the vacuum permittivity (8.854 x 10^-12 F/m), A is the area of each plate, and d is the separation between the plates.
For the given circular plates, the area of each plate can be calculated as:
A = π * r^2
where r is the radius of the plates.
Substituting the values:
A = π * (0.0820 m)^2 = 0.0064 m^2
d = 1.30 x 10^-3 m
C = ε0 * A / d = 8.854 x 10^-12 * 0.0064 / 1.30 x 10^-3 = 7.80 x 10^-10 F
b) To find the charge for a potential difference of 120 V, we can use the formula:
Q = C * V
where Q is the charge and V is the potential difference.
Substituting the values:
Q = C * V = 7.80 x 10^-10 * 120 = 9.36 x 10^-8 C
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what statements must be true about the jogger's motion? select all that apply. what statements must be true about the jogger's motion?select all that apply. the jogger's acceleration is increasing. the jogger's acceleration is decreasing. the jogger's speed is decreasing. the jogger's speed is increasing.
the jogger's acceleration is increasing statements must be true about the jogger's motion.
When is acceleration growing and positive?An item has positive acceleration when it is going faster than it was previously. Positive acceleration was demonstrated by the moving automobile in the first scenario. The acceleration is in the same direction as the car's motion since the vehicle is going ahead and accelerating.
The item will be moving faster if the acceleration is pointing in the same direction as the velocity. Additionally, the item will slow down if the acceleration is pointing in the opposite direction from the direction of the velocity.
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what is the shortest delay time, in milliseconds, that would cause two 75 hertz sine waves to be 150 degrees out of phase?
One wave's 150 degree positive displacement is exactly cancelled by the second wave's 150 degree negative displacement. The resulting wave has zero amplitude.
How do you determine a wave's time delay?The difference in length a wave frontal must go between the frame of reference and the element of interest is used to determine the wave face time delay. After then, the time is determined by multiplying the distance by the sound speed.
What is the delay time unit?A delay unit is a multi-path structure that offers a predetermined time delay or configurable time delay. It differs from a phase shifter yet is comparable to one. Typically, a phase shifter offers a predetermined insertion phase difference.
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A car drives in a straight line off a cliff of unknown height. If the cars speed was 5.0 meters per second and it landed 6.7 meters away from the cliff determine the height of the cliff
Using the kinematic equation of motion to solve for the height of the cliff. The equation is given by:
d = vₒt + ½at²
where d is the vertical displacement (the height of the cliff), vₒ is the initial velocity (0 m/s since the car is moving vertically downwards), t is the time taken to reach the ground and a is the acceleration due to gravity (-9.8 m/s²).
Rearranging the equation to solve for the height of the cliff:
d = ½(-9.8)t² + vₒt
The time t can be calculated from the horizontal displacement, dₓ, and the initial velocity, vₒ, using the equation:
dₓ = vₒt + ½at²
Rearranging this equation to solve for t:
t = (dₓ - ½at²) / vₒ
As, dₓ = 6.7 m, vₒ = 5.0 m/s and a = -9.8 m/s², so substituting these values into the equation:
t = (6.7 m - ½(-9.8 m/s²)(t)²) / (5.0 m/s)
Solving for t:
t = 1.34 s
Now, from the value of t, substitute it back into the first equation to find the height of the cliff:
d = ½(-9.8 m/s²)(1.34 s)² + 0 m/s (1.34 s)
d = 20.36 m
Therefore, the height of the cliff is 20.36 meters.
What is displacement?
The change in an object's location from its beginning position to its end position is measured by a vector quantity called displacement. The straight line that connects the object's starting and final places serve as a representation of the shortest distance between them. Distances like meters, feet, and miles are used to express displacement.
Displacement is a verb that denotes the movement or displacement of an object. The definition of displacement is the modification of an object's position. Displacement is defined as the final position minus the starting position.
The displacement, which is the change in the object's position, is a vector with a magnitude of 10 miles and a direction of east.
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a long, straight uniformly charged wire has a net charge per unit length of 2.69 coulombs/meter. what is the magnitude of the electric force in newtons exerted by this wire on a proton that is located a perpendicular distance 8.57 meters away from the wire?
The magnitude of the electric force exerted by the wire on the proton is 2.77 x [tex]10^{-8}[/tex] N.
The magnitude of the electric force can be calculated using Coulomb's law, which states that the force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.
F = k * q1 * q2 / [tex]r^{2}[/tex]
where
F = the force in newtons
k = the Coulomb constant, equal to 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex]
q1 = the charge on the wire, equal to 2.69 C/m
q2 = the charge on the proton, equal to 1.60 x [tex]10^{-19}[/tex] C
r = the distance between the proton and the wire, equal to 8.57 m
Plugging in these values, we get:
F = 8.99 x [tex]10^{9}[/tex] N [tex]m^{2}[/tex] / [tex]C^{2}[/tex] * 2.69 C/m * 1.60 x [tex]10^{-19}[/tex] C / [tex](8.57 m)^{2}[/tex]
F = 2.77 x [tex]10^{-8}[/tex] N
So the magnitude of the electric force exerted by the wire on the proton is 2.77 x [tex]10^{-8}[/tex] N.
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what are the units of k for a third order reaction?
For just a third order reaction, the units of k are mol-²L²s-¹.
Which reaction order's units of k are appropriate?The overall reaction sequence affects the units of a rate constant, k. M/s, 1/s, and 1/(Ms) are the units of k for zero-order reactions, first-order reactions, and second-order reactions, respectively.
What is the third-order reaction's chemical equation?The result of this integration is T = 1/(2kA²), which is calculated just at twice in question. Contrary to first-order situations, where the duration to half its concentrations is independent of that, it is clear that the time to halve the concentration relies on the concentration.
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A spring, which has a spring constant k, is hung from the ceiling. A mass m =
3.00 kg is added to the end of the spring and is then slowly lowered until equilibrium is reached. At
this point the bottom of the mass has been lowered a distance of Dh = 52.0 cm.
a. What is the magnitude of the force being exerted by the spring when the system reaches equilibrium?
b. What is the spring constant of this spring?
Need to know ASAP
If a spring, which has a spring constant k, is hung from the ceiling. The magnitude of the force being exerted by the spring when the system reaches equilibrium is 29N. The spring constant of this spring is 56N/m
How to find the magnitude of the force?a. Magnitude of the force
The expression for the magnitude of the force being exerted by the spring is,
F =mg
Where:
g= acceleration due to gravity
Substitute
F=3×9.81
F=29N
b. Spring constant
The expression for the spring constant of this spring is,
F=kΔh
Where:
k is the spring constant.
Substitute
29=k×52×10^−2
k=56N/m
Therefore the magnitude of the force being exerted by the spring when the system reaches equilibrium is 29N. The spring constant of this spring is 56N/m.
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what uses a high frequency electromagnetic current produced by a microwabe device to generate heat within body tissues?
Diathermy uses a high frequency electromagnetic current produced by a microwave device to generate heat within body tissues.
Electromagnetic radio waves with frequencies of 915 and 2456 MHz are utilized for the procedure known as microwave diathermy. Because of the specific characteristics of these waves and the size that correspond to the microwave antennas, microwave diathermy possesses two distinct qualities that can be used for the purpose of clinical benefit. The relaxing of muscles and the induction of deep heating in tissue for therapeutic purposes are two frequent applications of the technique known as diathermy. In the field of physical therapy, it is put to use to provide a heat of moderate intensity directly to the pathologic lesions that are located in the deeper tissues of the body.
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a rock is thrown from the top of a 35 m building directly downwards with an initial speed of 5 m/s. at the same time, a cannon on the ground fires a projectile directly upwards at 30 m/s. a. at what height do the rock and the projectile pass each other? b. does the projectile make it to the top of the building? c. how much time does the rock take before falling to the ground?
The rock and the projectile pass each other at a height of 25.1 m, the projectile does make it to the top of the building and the rock takes 3.12 seconds before falling to the ground.
Given the height of building (h) = 35m
The initial speed of rock (u) = 5m/s
The speed of cannon on the ground (u1) = 30m/s
We know that from Newtons laws of motion h = ut + 1/2at^2 where t is the time taken and a is the acceleration, h is the height reached.
For the rock 35 = 5 x t + 1/2(-g)t^2 since going downwards a = -g
For the cannon 0 = 30 x t + 1/2(-g)t^2
Since they both meet at the same point then:
35 - 5 x t + 1/2(-g)t^2 = 30 x t + 1/2(-g)t^2
35 = 35 x t
t = 1s
So, it will take 1s for them to reach the same height.
Then the height they meet = 35 - 5 x 1 - 1/2 x 9.8 x 1^2 = 25.1m
(b) The maximum height reached by canon = v^2 - u^2 = 2as
The final speed = 0m/s such that u1^2 = 2 x g x s
s = 30 x 30/2 x 9.8 = 45.9m
The projectile reaches the top of the building.
(c) The time taken by the rock to reach the ground = t
0 = 35 - 5 x t + 1/2 x 9.8 x t^2
t = 3.12s
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if the cross-sectional area of the core is the same everywhere and the permeability of the core is infinite, what is the value of
Zero permeability denotes a totally reflecting barrier, whereas infinite permeability denotes the lack of a barrier.
What is the core's permeability?Air is used to determine a core plug's permeability. The mean pressure is 2.152 psi, and only one measurement is taken. 46.6 md is the air permeability.
Both windings have an infinite resistance. The core has unlimited permeability and zero resistance.
In granular materials like sedimentary rocks, permeability is mostly determined by the size, shape, and packing arrangement of the grains as well as the size, shape, and size distribution of the pores in the substance.
A molecule can travel through the membrane quickly and easily when the permeability is high.
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(q007) if the star alpha centauri, 4.37 light-years distant from the earth, were to explode this instant, when would we be aware of this event?
If the star Alpha Centauri, 4.37 light-years distant from the Earth, were to explode this instant, we would be aware of the event 4.37 years from now.
This is because light travels at a speed of approximately 186,000 miles per second, or about 6 trillion miles per year. This means that it would take 4.37 years for the light from the explosion to reach us.
However, the speed of light is not the only factor that affects how long it takes for the light from an event to reach us. The universe is expanding, meaning that the physical distance between us and distant stars is increasing over time. This means that the distance between us and Alpha Centauri is actually a bit larger than 4.37 light-years, so it would take slightly longer for the light from the explosion to reach us.
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Red light has a wavelength of 6.80x10^2 nm. The energy of a photon of Red light is (in J) ? I keep getting 2.92e-19 but that's not the correct answer, it's 3.20e-19
Since red light has a wavelength of 6.80x10^2 nm, it has a photon energy of 3.20 x 10^-19 J.
What is a photon?A photon is a tiny unit of electromagnetic energy that is essentially a particle of light. The frequency of the photon (i.e., how quickly the perpendicular to the magnetic field oscillate; "rapid electric field" and "wiggle" need better terminology) determines its energy. A photon is a tiny energy packet comprising electromagnetic radiation, also referred to as a light quantum. Albert Einstein's account of the photovoltaic effect, in which he proposed the existence of energy levels packets during in the transmission of light, gave rise to the concept of the photon in 1905.
What is a photon made of?Microscopically small electromagnetic radiation waves make up a photon. Photons are essentially electric fields travelling through space, as Maxwell showed. Photons have no charge and no rest mass, and they move just at speed of light. The energy range of ultraviolet light extends from a few volt to around 100 eV. X-ray photons have energies ranging from 100 eV - 100,000 eV. (or 100 keV). The term "gamma-rays" is then used to describe all photons with energies more than 100 keV.
E=hf, where E seems to be the energy, h is the Planck constant (6.6260701510-34 Js), & f is the frequencies of the light, can be used to determine the energy of a photon. Using the formula f = c/, where c is the light's speed (2.998 x 108 m/s) and is the wavelength, you can get the frequencies of red light with such a wavelength of 6.80 x 10-7 m.
Substituting the values,
f = (2.998 x 10^8 m/s) / (6.80 x 10^-7 m)
= 4.41 x 10^14 Hz
Then, the energy of a photon of red light can be found as:
E = hf
= (6.62607015 x 10^-34 Js) * (4.41 x 10^14 Hz)
= 2.93 x 10^-19 J
So a red light photon has an energy of about 3.20 x 10^-19 J.
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A roller coaster climbs up a hill at 4 m/s and then zips down the hill at 30 m/s what is the momentum of the roller coaster
a. zero throughout the ride
b. the same throughout the ride
c. the greater down the hill than up the hill
d. greater up the hill than down the hill
The offered statement indicates that its greater down the hill than up a hill is the right response.
What is momentum and example?Momentum can be viewed as a body's "power" while it is moving, or the amount of force it can exert on another body. For instance, a bat (small mass) thrown quickly may have the same energy as either a bowling ball (big mass) going extremely slowly (low velocity) (high velocity).
How can I demonstrate momentum?Rolling a little ball or play car down a ramp until it collides with some other ball or toy vehicle at the bottom is one really easy approach to explain momentum.
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solve for the velocity profile in a circular pipe (steady, fully-developed). what is the relationship between the centerline velocity and bulk velocity? what is the friction factor?
The friction coefficient is inversely related to velocity in laminar flow because the total head is proportional to the speed rather than velocity squared.
In a pipe, does pressure rise as velocity does?According to Bernoulli's Principle, pressure inside a flowing fluid falls as speed increases. The behaviour of an ideal fluid moving through a pipe or other confined tube, like a pump, is explained by the Bernoulli's Principle.
Why does speed rise in a pipe?According to the equation of continuity, when a liquid is flowing in a straight line, av = a constant, where an is the cross-sectional area and v is the flow velocity. When water moving through a wider pipe enters a narrower conduit, its area of cross-section reduces and its velocity rises.
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a block, initially at rest, begins to slide down a frictionless ramp which is inclined at 21o. the block was 2 m above the ground at the moment it started sliding down. how much time, in seconds, does it take for the block to reach at the bottom of the ramp? assume that the bottom of the ramp is at the level of the ground
It takes approximately 0.639 seconds for the block to reach the bottom of the ramp.
The ramp is frictionless, the acceleration of the block is purely due to gravity, and the kinematic equation can be simplified to:
h = 0.5 * g * t^2
Solving for t:
t = sqrt(2h / g) = sqrt(2 * 2 / 9.8) = sqrt(4 / 9.8) = sqrt(0.408) = 0.639 s
The kinematic equation is a mathematical formula that describes the motion of objects. It is used to calculate the velocity, acceleration, and position of an object over a specific period of time. The equation takes into account the initial velocity of the object, the acceleration of the object, and the time elapsed. There are several kinematic equations, each of which is designed to describe a specific aspect of motion.
For example, the first kinematic equation describes the velocity of an object after a given time interval. The second kinematic equation describes the position of an object after a given time interval. The third kinematic equation describes the acceleration of an object over a given time interval. Each of these equations is useful in different situations, such as calculating the motion of a ball thrown in the air or determining the velocity of a car at a specific time.
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jack and jill exercise in a 25.0 m long swimming pool. jack swims 9 lengths of the pool in 151.1 s (2 min and 31.1 s) , whereas jill, the faster swimmer, covers 10 lengths in the same time interval. find the average velocity and average speed of each swimmer.
The average speed is 30 m / sec, or 180 meters divide by 6 seconds. The average speed is 10 meters per second (60 meters divided by 6 seconds). Displacement / time is the definition of average velocity.
How do you figure out average velocity?Average speed is determined by dividing distances you traveled even by total time, whereas average velocity is determined by divide your displace (a vector pointing form your original position to your end position) by the whole time.
Are average velocity and average speed synonymous?Although some individuals may believe that average pace and mean velocity are simply two different labels for the same amount, average pace depends on both distance and displacement. The average pace will be higher than the typical velocity if an object reverses direction while traveling.
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the length, breadth, height of a room are 6 m 80 cm, 5 m 10 cm and 3 m 40 cm respectively. find the longest tape which can measure the dimensions of the room exactly.
The longest tape which can measure dimensions of room is 1m 70cm long.
What is dimension?In physics and mathematics, dimension of mathematical space is defined as the minimum number of coordinates needed to specify any point within it.
Given,
Length = 6m 80 cm = 680cm
Breadth = 5m 10cm = 510cm
Height = 3m 40cm = 340cm
To convert meters into centimeters, multiply it with 100
Length = 6m 80 cm
= 6 x 100 + 80
= 680cm
And, breadth = 5m 10cm
= 5 x 100 + 10
= 510cm
Height = 3m 40cm
= 3 x 100 + 40
= 340cm
find the prime factors of the numbers, it will be:
Length = 680 is 2 x 2 x 2 x 5 x 17
Breadth = 510 is 2 x 5 x 3 x 17
Height = 340 is 2 x 2 x 5 x 17
Highest Common Factor will be,
So, the HCF = 2 x 5 x 17
= 170cm or 1m 70cm
Hence, the longest tape which can measure the dimensions of the room exactly is 1m 70cm long.
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what will happen if the positive and negative connections on the voltmeter are reversed?
If it is linked in reverse and reading DC, it will display a negative value. If it's an analogue metre, a reverse DC connection will result in a zero reading.
What is voltmeter?Using a scale typically graduated in volts, millivolts (0.001 volt), or kilovolts, a voltmeter measures the voltages of either direct current or alternating current (1,000 volts). Many voltmeters today provide readings as numerical displays and are digital. Using a scale typically graduated in volts, millivolts (0.001 volt), or kilovolts, a voltmeter measures the voltages of either direct current or alternating current (1,000 volts).
What is the formula of voltmeter?By calculating the potential difference between the 2 resistance using the amount of current flowing through the circuit, the reading of the voltmeter may be obtained. The potential difference across a resistance R, through which a current I is flowing, is represented by the equation V=IR. The circuit and ammeter are connected in series. A static electrical field produces the deflection torque in an electrostatic type voltmeter. Only high voltage is measured using many voltmeters. Digital voltmeter (DVM): By converting an unknown input voltage to a digital value, a digital voltmeter (DVM) can measure it and display the result in numeric form.
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Under favorable circumstances, including reaction time, a motor vehicle with good brakes going 50 miles per hour can be stopped within: About 229 feet. true or false
False. Under favourable circumstances, including reaction time, a motor vehicle with good brakes going 50 miles per hour can typically be stopped within a distance of about 140 to 170 feet, not 229 feet.
What is reaction time under favourable conditions?Reaction time under favorable conditions is the time it takes for a driver to recognize a need to stop and physically apply the brakes. On average, a person's reaction time under favorable conditions is considered to be around 1 to 1.5 seconds.
What is the significance of reaction time?Reaction time is an important factor in determining the total stopping distance of a vehicle, as it is the time elapsed between recognizing a need to stop and physically applying the brakes.
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