The basic definition of a black hole is -
D) any object from which the escape velocity exceeds the speed of light.
What is a blackhole?
Points in space known that are so dense that they produce large gravity wells. Even light cannot escape a black hole's intense gravitational pull after a certain point. And in a theoretical process aptly known as spaghettification, anything that gets too close will be stretched and compressed.Stellar, intermediate, supermassive, and miniscule black holes are the four main categories. Stellar death is the process that creates black holes most often. Most dying stars will expand, lose mass, then cool to form white dwarfs as they approach the end of their lives. However, the biggest of these flaming bodies, those at least 10 to 20 times as massive as our sun, are doomed to become either super-dense neutron stars or so-called stellar-mass black holes.
Hence, option D is correct.
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5. Cyclists are travelling around a track at 14m/s. When they leave it they
accelerate from 14m/s to 18m/s at a steady rate, which takes them 3 seconds.
What distance did they travel in this time?
The distance travel by the cyclists in the given time is 48 m.
Acceleration can be defined as the rate at which velocity changes with time, in terms of both speed and direction.
Acceleration is a vector quantity.
Initial velocity = 14 m/s
Final velocity = 18 m/s
Acceleration = final velocity- initial velocity / time taken
a = [tex]\frac{18 m/s - 14 m/s}{3 s}[/tex]
a = [tex]\frac{4}{3}[/tex] m/s^2
Now, for distance we can use distance formula
s = ut + 1/2 at^2
=14 × 3 + [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{3}[/tex] × 3^2
=42 + 6
=48 m
Hence, the distance travel by the cyclists is 48 m.
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A steel ball was launched horizontally off a ramp at a height of 1.5m above the ground. How many seconds does it take the projectile to hit the ground?
The time taken for the projectile to hit the the ground from a ramp of height 1.5 m is 0.55 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time it takes the projectile to hit the ground, we use the formula below.
Formula:
h = ut+gt²/2.......... Equation 1Where:
h = Height of the rampg = acceleration due to gravityu = Initial velocityt = timeFrom the question,
Given:
h = 1.5 mg = 9.8 m/s²u = 0 m/sSubstitute these values into equation 1 and solve for t.
1.5 = (0×t)+(9.8t²)/21.5×2 = 9.8t²t² = 3/9.8t² = 0.3061t = √0.3061t = 0.55 seconds.Hence, the time taken is 0.55 seconds.
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Uv rays are a type of ""ionizing radiation"" and are energetic enough to damage biological tissue such that they degrade into ions and electrons. What other forms of electromagnetic radiation do you think could be ionizing?.
X-rays and gamma rays are the other forms of electromagnetic radiation you think could be ionizing.
Electromagnetic radiation is produced each time a charged particle, together with an electron, modifications its velocity—i.e., whenever it is improved or decelerated. The energy of the electromagnetic radiation hence produced comes from the charged particle and is therefore misplaced by way of it.
Electromagnetic radiation consists of waves of the electromagnetic subject, which propagate thru an area and deliver electromagnetic radiant electricity. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays. All of those waves form part of the electromagnetic spectrum.
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How does the observed pitch of the buzzer change as it moves towards the observer?.
The observed frequency increases and ear hears a higher pitch.
The Doppler Effect is the change in wave frequency caused by the relative motion of a wave source and its observer. Christian Johann Doppler discovered it and described it as the process of increasing or decreasing starlight based on the relative movement of the star.
The Doppler effect, also known as the Doppler shift, is a phenomenon that occurs when the source of waves moves in relation to an observer. A common physical demonstration of the Doppler Effect is an ambulance crossing you with its siren blaring. The Doppler effect is important in astronomy because it allows us to calculate the velocity of light-emitting objects in space, such as stars or galaxies.
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the water used in many sprinkler systems is recycled. for instance, a single water particle in a sprinkler system travels 85 m and then returns to the same point. what is the displacement of this water particle during one cycle?
The displacement is zero since a single water particle in a sprinkler system travels 85 m and then returns to the same point. Recycling has long been acknowledged as a useful strategy.
There isn't a limitless supply of clean drinking water where we live. We must make the most of it, and part of that means reusing our water in ways that keep it clean for drinking. On-site water can be recycled and reused.
d= 0
because initial and final points are same. therfore, the displacement covered is zero.
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When is the total momentum of a system conserved? A. Always B. If the system is isolated C. If the forces are conservative D. Never; it's just an approximation.
The total momentum of the system is conserved if the system is isolated. option c.
Momentum :
It is the product of particles mass and velocity. It is a vector quantity.Its unit is Ns (Newton-second).formula of momentum is given as :
p= mv
where,
p = momentum of the body
m = mass of the body
v = velocity of the body
Total momentum offer system is equal to the vector sum of all the system's component masses.
A system that is an isolated system does not interact with its environment.
The total momentum of the system is conserved if the system is isolated. option c.
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help!!!!!!!!!!!!!!!!!!!!
Answer:
Explanation:
For this one I'd say D. Placing data into tables, charts, and graphs is the easiest way for scientists to quickly sort their dat...
If the work function of a material is such that red light of wavelength 700 nm just barely initiates the photoelectric effect, what must the maximum kinetic energy of ejected electrons be when violet light of wavelength 400 nm illuminates the material?.
The maximum kinetic energy of ejected electrons is 2.13 × 10⁻¹⁹ J.
The photoelectric effect is the emission of electrons while electromagnetic radiation, along with mild, hits a cloth. Electrons emitted in this way are referred to as photoelectrons.
The photoelectric effect is a phenomenon in which electrically charged particles are launched from or inside a fabric while it absorbs electromagnetic radiation.
The effect is regularly defined because of the ejection of electrons from a metallic plate while light falls on it. Einstein theorized that when a photon falls on the floor of a metallic, the complete photon's power is transferred to the electron. part of this power is used to dispose of the electron from the steel atom's hold close and the rest is given to the ejected electron as kinetic energy.
Using photoelectric effect:-
KEmax = hv - Ф
Ф = hv₀ = hc/λο
Hence, KEmax = hc/λ - hc/λο
= hc ( 1/λ - 1/λ)
Substituting the value
KEmax = (6.6 × 10⁻³⁴ )×(3× 10⁸)(1/400 × 10⁻⁹ - 1/700 × 10⁻⁹)
KE max = 2.13 × 10⁻¹⁹ J
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A certain liquid sample has a volume of 14. 7 ml and a mass of 22. 8 grams. Calculate the density.
The density of the liquid sample is 1.52 g/ml.
Density is the substance's mass consistent with the unit of quantity. The symbol most customarily used for density is ρ, despite the fact that the Latin letter D can also be used. Density is the size of ways tightly a cloth is packed together. it's far defined as the mass consistent with unit quantity.
ρ = m/V, wherein ρ is the density, m is the mass of the item and V is the quantity of the object.
Calculation:-
Density = mass/volume
= 22.8/14.7 g/ml
= 1.52 g/ml
The density is of two types, one is absolute density, and the alternative is relative density. Relative density is also called unique gravity, which is the ratio of the density of a material to the density of a reference material. typically, the reference fabric is water.
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The American bullfrog (Rana catesbeiana) can jump a distance of
nearly 15 times its length! If a bullfrog starts on a horizontal log and
leaps with a velocity of 4.40 m/s at an angle of 37.0° to the horizontal,
what distance can it cover?
Answer:
Approximately [tex]1.90\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex] and that air resistance on the bullfrog is negligible.)
Explanation:
It is given that the initial velocity [tex]u[/tex] is at an angle of [tex]\theta = 37.0^{\circ}}[/tex] above the horizontal. Therefore:
Initial vertical velocity: [tex]u_{y} = u\, \sin(\theta) \approx 2.64799\; {\rm m \cdot s^{-1}}[/tex].Initial horizontal velocity: [tex]u_{x} = u\, \cos(\theta) \approx 3.51400\; {\rm m \cdot s^{-1}}[/tex].
If air resistance on the bullfrog is negligible, final vertical velocity right before landing will be the opposite of the initial vertical velocity:
[tex]v_{y} = (-u_{y}) = (-2.64799)\; {\rm m\cdot s^{-1}}[/tex].
Change in vertical velocity:
[tex](v_{y} - u_{y}) = (-2.64799) \; {\rm m\cdot s^{-1}} - 2.64799 \; {\rm m\cdot s^{-1}} \approx (-5.29598)\; {\rm m\cdot s^{-1}}[/tex].
Vertical acceleration of the bullfrog will be [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex] while the frog is in the air. Therefore, time required for the velocity to change will be:
[tex]\begin{aligned} t &= \frac{v_{y} - u_{y}}{a_{y}} \\ &= \frac{v_{y} - u_{y}}{(-g)} \\ &\approx \frac{(-5.29598)\; {\rm m\cdot s^{-1}}}{(-9.81)\; {\rm m\cdot s^{-2}}} \\ &\approx 0.53985\; {\rm s}\end{aligned}[/tex].
If air resistance on the bullfrog is negligible, horizontal velocity will be constant: [tex]v_{x} = u_{x} \approx 3.51400\; {\rm m\cdot s^{-2}}[/tex]. After [tex]t \approx 0.53985\; {\rm s}[/tex] in the air, the horizontal displacement of the bullfrog will be:
[tex]\begin{aligned}x_{x} &= v_{x}\, t \\ &\approx 3.51400\; {\rm m\cdot s^{-1}} \times 0.53985\; {\rm s} \\ &\approx 1.90\; {\rm m} \end{aligned}[/tex].
Therefore, this bullfrog will cover a distance of approximately [tex]1.90\; {\rm m}[/tex].
the following images show five planets in our solar system. rank these planets from left to right based on their average surface (or cloud-top) temperature, from highest to lowest. (not to scale.)
Highest to Lowest temperature:
MercuryEarthMarsJupiterNeptuneWhat is average surface temperature?Planetary surface temperatures range from over 400°C on Mercury and Venus to below -200°C on distant planets. The factors that determine temperature are the complex balance of heat received and lost.
For these five planets, temperature correlates with distance from the Sun. The closer to the sun, the hotter the earth. Note, however, that this is not always the case, as the planet's temperature also depends on its reflectance and the strength of the greenhouse effect (if present). For example, although Venus is almost twice as far from the Sun, the average temperature on Venus is higher than on Mercury due to the greenhouse effect.
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The larger the frequency of a photon of light, the _______ the energy of the photon.
The larger the frequency of a photon of light, the lower the energy of the photon.
The energy of a photon is proportional to its electromagnetic frequency. The energy of a photon depends on its wavelength in such a way that its energy is inversely proportional to its wavelength. The higher the frequency of photon energy, the greater its energy.
The energy carried by a single photon is referred to as photon energy. The amount of energy is proportional to the electromagnetic frequency of the photon and thus inversely proportional to the wavelength. The higher the frequency of a photon, the greater its energy. The longer the wavelength of a photon, the lower its energy. Frequency is defined as the number of complete wavelengths in a given unit of time. The frequency and energy (E) of a wavelength decrease as its size increases.
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The same Vegan "meatball" is thrown straight up into the air at a velocity of 21 m/s. It is allowed to fly upward and back down to the height it was originally thrown. What is the Vegan "meatball's" velocity at this moment.
When the Vegan "meatball's" velocity is at its highest position at this moment, its velocity is zero, 0m/s.
A projectile's velocity is zero at its highest point. A projectile's acceleration is zero at its maximum point. The vertical component of a projectile's velocity is suddenly zero (vy = 0 m/s) when it reaches its greatest height.
When vy = 0, the apex—the highest point in any trajectory—is reached. We apply the equation v2y=v20y2g(yy0) to calculate y because we know the initial position, initial velocity, and end velocity.
Since the projectile is moving uphill against the force of gravity, its velocity is beginning to slow down. When the vertical velocity eventually falls to zero, the bullet quickly accelerates downward due to gravity.
A projectile's horizontal velocity is constant (a never changing in value), and Gravity causes a downward vertical acceleration with a magnitude of 9.8 m/s/s. A projectile's vertical velocity fluctuates by 9.8 m/s per second, A projectile's vertical motion is unrelated to its horizontal motion.
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Two pure tones are sounded together and a particular beat frequency is heard. What happens to the beat frequency if the frequency of one of the tones is increased?.
Since it is unclear which of the two frequencies is being raised, the beat frequency will rise if the frequency of the higher-frequency note is raised. On the other hand, if the frequency of the lower frequency note is raised, the beat frequency decreases.
what is frequency?
A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.
Frequency is an essential property for characterizing the temporal rate of change found in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, in science and engineering.
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Since it is unclear which of the two frequencies is being raised, the beat frequency will rise if the frequency of the higher-frequency note is raised. On the other hand, if the frequency of the lower frequency note is raised, the beat frequency decreases.
What is frequency?
A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.
Frequency is an essential property for characterizing the temporal rate of change found in oscillatory and periodic phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light, in science and engineering.
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true or false: moving a conducting rod with a constant velocity perpendicular to the direction of an external magnetic field results in one end of the rod having a net positive charge and the other end of the rod having a net negative charge.
Answer: The answer is True
What is concave lens?
Answer:
Diverging Lens.
Explanation:
Concave lenses have at least one surface curved inside. A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.
Complete combustion of 1.0 metric ton ofcoal (assuming purecarbon) to gaseous carbon dioxide release 3.3x10¹⁰ j of heat. Convert this energy to (a) kilojoules; (b) kilocalories
Complete combustion of 1.0 metric ton of coal (assuming pure carbon) to gaseous carbon dioxide release 3.3x10¹⁰ j of heat. a) energy converted into kilojoules will be 3.3 * [tex]10^{7}[/tex] kJ
b) energy converted into kilocalories will be 7.882 * [tex]10^{6}[/tex] kcal
Heat released = 3.3x10¹⁰ j
a) 1 J = [tex]10^{-3}[/tex] kJ
3.3x10¹⁰ j = 3.3x10¹⁰ * [tex]10^{-3}[/tex] = 3.3 * [tex]10^{7}[/tex] kJ
b) 1J = 0.23885 = 2.3885 * [tex]10^{-4}[/tex] kcal
3.3x10¹⁰ j = 3.3x10¹⁰ * 2.3885 * [tex]10^{-4}[/tex] = 7.882 * [tex]10^{6}[/tex] kcal
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A person applies an impulse of 5. 0 kg∙m/s to a box in order to set it in motion. If the person is in contact with the box for 0. 25 s, what is the average force exerted by the person on the box?.
The person's average force on the box is equal to F = 20 N.
What is average force?The force applied by an object moving over a defined period of time at a defined rate of speed is known as the average force. Here, the word "average" is used to denote that the velocity is not instantaneous or precisely measured.
Given,
I = 5kg.m/s
t = 0.25s
We are aware that force is the same as the change in momentum over time. The impulse is equal to the change in momentum.
F = dP/dt
F = I/t
F = 5/0.25
F = 20N.
The person's average force on the box is equal to F = 20 N.
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Which of the following is NOT a clue to the formation of the solar system?
A. Uranus has a large tilt to its rotation axis.
B. The number of small rocky planets is equal to the number of large gas-rich planets.
C. There are a large number of small rocky and icy objects in different regions of the solar system.
D. The planets and moons generally orbit in the same plane.
E. The Earth has an unusually large moon.
Option (B) is not a clue to the formation of the solar system i.e. the number of small Rocky planets is equal to the number of large gas rich planets.
Option (A) Uranus is the 7th planet in our solar system that is mostly known for being the planet that is "lying on its back".Uranus rotational axis tilts almost 98° and it looks like the planet is rotating on its side.
Option (B) The gas giants have atmosphere that are mostly hydrogen and helium, they do not have a well-defined surface and there is no clear boundary between where the atmosphere ends and the surface starts. Sometimes, the gas planets are so much larger than the rocky planets, the atmosphere grow faster than the solid part of the planet. So , we can't say that the number of small Rocky planets is equal to the number of gas rich planets.
Option (C) Asteroids are large no. of small rocky and icy object that orbits the sun. There are lots of asteroids in our solar system.
Option (D) All the planets, asteroids,meteoroids and comets in the solar system orbits in the same plane and this is called heliocentric orbit. During the solar system's formation, the planets formed out of a disk of dust which surrounded the sun, because that disk of dust was a disk, all in a plane, all of the planets formed in a plane as well and the planets and moons orbits in the same plane.
Option (E) Most moons are captured from bits of rocks left over from the formation of the planet but our moon is probably the result of a very big bit of rock hitting the early earth and splitting into two and this results in the formation of our natural satellite moon which is 3,84,000km away and that's why Earth has an unusually large moon.
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A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling
Answer:
Speed = 126 km/h
Explanation:
Given:
Wk = 110250 J - Kinetic energy of the car
m = 180 kg - Mass
________________
V - ? Speed
Wk = m·V² / 2
V = √ (2·W/m)
V = √ (2·110250 / 180) = 35 m/s or V ≈ 126 km/h
if a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation.
Using the concepts of momentum, we got that 13m/sec is the velocity of the ball after 2 sec if the distance the ball has rolled after t seconds is given by s(t) = 5t + 2t2 equation.
Velocity is defined as the derivative of displacement with respect to time
v= ds/dt
The given equation of distance is
s(t) = 5t + 2t² : distance that the ball has rolled after t seconds
v= 4 m/s : initial velocity
t= 2 s
Problem development
s(t) = 5t + 2t²
Using differentiability
v= ds/dt= 5 + 4t : velocity of the ball in function of the time
We replace t =2 s in the equation of velocity
v= 5 + 4(2)
=>v=5+8
=>v=13m/sec.
Hence, if a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, and the distance it has rolled after t seconds is given by the following equation s(t) = 5t + 2t2,then the velocity of the ball after 2 sec is 13m/sec.
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(Complete question) is:
If a ball is given a push so that it has an initial velocity of 4 m/s down a certain inclined plane, then the distance it has rolled after t seconds is given by the following equation. s(t) = 5t + 2t2 . Find the velocity after 2 seconds.
for two objects in space with very different masses, the gravitational force causes:
A.
the two objects to remain stationary.
B.
the less-massive object to orbit the more-massive object.
C.
the more-massive object to orbit the less-massive object.
D.
the two objects to both orbit a central point together.
HELP PLEASEEEE!!!
1. The speed of sound depends on the __?_____ and ____?____ of the medium through which it travels.
it took 4 hours for a biker to travel at a certain speed from one city to another. on the return trip, the biker traveled at the same speed for the first 100 km, and then treaveld 10 km hr slower for the rest of the trip. this caused the return trip to be 30 min longer. find the distance between the two cities
Answer:4.5??
Explanation:
what is the angle of incidence of a light ray reflected off a plane mirror at an angle of 35 to the normal
The incidence angle of a light ray that strikes a plane mirror is 35 degrees from the horizontal, hence the angle of reflection is 55 degrees.
Is there reflection at absolute zero?Angle of incidence and angle of reflection are equal when a light beam is incident properly on a flat mirror, according to the laws of reflection. Due to the zero degree incidence angle and reflection, respectively. The path of the reflected light will therefore be the same as the route of the incident beam.
Describe an example of the angle of reflection.The angle between the light and the surface is 10° if it is parallel to the surface, and 80° if it is perpendicular. It follows that the incidence angle is 80o. The incidence angle and reflection is equal, according to the rule of reflection. The reflection therefore has an 80o angle.
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28. Ratman's rat mobile is traveling at 80m/s North when it turns on its rocket boosters
accelerating the rat mobile to 200 m/s in 4 seconds.
What's the rat mobiles acceleration?
The acceleration of rate mobile is 30 m/s².
Given - Initial velocity=80m/s , Final Velocity=200m/s , time= 4sec
To find out acceleration.
Principle- Acceleration means rate of change of velocity. Mathematically derivative of velocity with the function of time is acceleration.
a=dv/dt
a=(vₙ-v )/dt
substitute vₙ=200m/s , v=80m/s , dt=4sec
a= [ 200 -80 ]/4
a= 120/4
acceleration ⇒ a=30 m/s²
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determine the current magnitude and direction of flow in each of the three branches of the circuit below.
The current magnitude in each of the three branches of the circuit below are 1.25 A, 0.924 A and 0.31 A respectively
According to Ohm's law,
V = I R
V = Voltage
I = Current
R = Resistance
In loop 1,
33 I1 + 76 ( I1 - I2 ) - 48 + 20 ( I1 - I2 ) = 22
129 I1 - 96 I2 = 70 → ( 1 )
In loop 2,
76 ( I1 - I2 ) + 51 I1 + 8.5 + 42 I2 + 20 ( I1 - I2 ) = 0
- 96 I1 + 189 I2 = 56.5
I1 = ( 189 I2 - 56.5 ) / 96 → ( 2 )
Sub ( 2 ) in ( 1 ),
129 ( 189 I2 - 56.5 ) / 96 - 96 I2 = 70
( 24381 I2 - 7288.5 ) / 96 = 96 I2 + 70
24381 I2 - 7288.5 = 9216 I2 + 6720
15165 I2 = 14008.5
I2 = 0.924 A
I1 = ( 189 * 0.924 - 56.5 ) / 96
I1 = 1.25 A
I3 = I1 - I2
I3 = 1.25 - 0.924
I3 = 0.31 A
Therefore, the current magnitude in each of the three branches of the circuit below are:
I1 = 1.25 AI2 = 0.924 AI3 = 0.31 AThe given question is incomplete. The complete question is:
Determine the current magnitude and direction of flow in each of the three branches of the circuit below. The circuit is shown in the image attached.
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how fast will an electron be traveling after being ejected from the electron gun if the voltage is set to 500 v? for full credit: (1) show your work, (2) show explicitly how the units simplify, and (3) express your answer as a percentage of the speed of light. attach a separate sheet of paper if needed.
The speed of the electron ejected from the electron gun is 13.25 x 10^6 m/s
How do you define electrostatic force?
The attraction or repulsion between particles that electrostatic forces produce is due to their electric charges. In honour of French physicist Charles-Augustin de Coulomb, who first characterized the force in 1785, this force is also known as the Coulomb force or Coulomb interaction.Using Coulomb's law, one may determine the strength or force of the attraction or repulsion between two charged bodies:
F = kq1q2/r2
In this case, F is the force, k is the proportionality factor, q1 and q2 are two electric charges, and r is the separation between their centres.
Let us assum that the electron from the electron gun is ejected and accelerated in a vacuum.
Therefore if we neglect the gravitational force we see that the entire electrical potential energy is changed into kinetic energy.
According to the given informations:
Ki = initial kinetic energy of the electron = 0
Kf = final kinetic energy of the electron = mv^2/2
Ui = initial potential energy of the electron = qV
Uf = final potential energy of the electron = 0.
From the law of Conservation of energy we know,
Ki + Ui = Kf + Uf.
Putting the values we have,
0 + qV = mv^2/2 +0
qV = mv^2/2
Solving the above equation we find v,
v = √2qV/m
= √ 2 x
= √2 (−1.60×10^−19C) (−500J/C) / 9.11×1^−31kg−
= √175.6 x 10^12
= 13.25 x 10^6 m/s
Hence, the speed of the electron is 13.25 x 10^6 m/s
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A car has a mass of 1500 kg. If the driver applies the brakes while on a gravel road, the maximum friction force that the tires can provide without skidding is about 7000 n.
The shortest distance in which the car can stop safely is 42.82 m
Define frictional force?
The force produced when two surfaces slide against and touch one another is referred to as frictional force.
The amount of force requiring them together and the surface texture have the biggest an impact on these forces. The amount of frictional force depends on the object's orientation and location.
In the question, given
Mass of the car m = 1500
Velocity of the car = 20 m/s
Maximum friction force the tires can provide without skidding = 7000 N
Analysis of the motion of a car with mass m braking on gravel road with maximum friction force f is being done.
Newton's second law, which combines acceleration a, force f, and mass m as follows, will be used to solve this issue:
a = f/m
The second equation we'll employ combines the distance s, the speed v, and the acceleration a:
Δv^2 = 2aΔs
A force causes an item to accelerate, as stated by Newton's second law. Similarly, applying brake pressure to a moving object will result in a negative acceleration termed as a, which will eventually cause the object to stop.
Therefore we calculate acceleration a using
F = ma
a = F/m
= 7000/1500
= 4.67 m/s^2
We will utilize the kinematic equation to extract and determine the value of the stopping distance now that we have established the amount of acceleration when a car brakes.
Δv ^2 =2⋅a⋅Δs
Δs = Δv ^2/2⋅a
= 20 x 20 / 2 x 4.67
= 42.82 m
Hence, the shortest distance in which the car can stop safely is 42.82 m
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in data tables why are the units included at the tops of columns and at the beginning of rows,rather than with the numbers
The reasons why the units are included mainly at the top of columns and the beginning of rows in a data table includes.
The column and row headers are used to clarify the information contained in the cells of the tableThe units are placed at the specified locations at the column or row headers to reduce repetition and improve efficiencyPlacing the units only at the top, reduces the size of the tableIt allows for access to the raw data by programs for further analysisThe raw values of the data are mainly used during manual analysis, such as graphing and therefore are transferred and may be stored into further data table using the same formatWhat is a data table?A data table consists of a range of cells forming a document with content that can be addressed using row or column locations in which values are stored. The data in the cells of a data table can be accessed or retrieved or updated as required, later.
The title of the data table and the top of columns, known as column headers, and the beginning of rows, known as row headers are used to present more details of the content or information in the cells, in order to clarify their meaning.
Placing such details only in the column and row headers reduces repetition of the same details in all cells, improves clarity as usually only values that may be different are placed in the cells, such that it is easier to focus on the values.
The method of including units only at the top, reduces the amount of space required to store the data, it also facilitates the comparison of values in the dataset.
Including units only at the tops of columns and at the beginning of rows also allows the data table to be used for computerized data analysis, such as the programming of the required monthly payment on a home mortgage, through which different interest rate and loan amount can be experimented with to programmatically calculate the required or affordable monthly payment.
During manual analysis, such as graphing of the data, use is made of mainly the values in the table rather than units in calculations, as the number of data points may me much.
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