The correct answer is 1.5 seconds.
We are aware that the differentiation is used to calculate the rate at which a quantity changes over time. We are aware that the velocity is the name given to the derivative of the displacement. Acceleration is what we get when we differentiate velocity.
x = t^4 - 6t^2 + 9t
To calculate the velocity, take the derivative.
v = 4t^2 - 12t + 9
To acquire acceleration, repeat the derivative.
a = 8t - 12
force:
F = ma
If a = 0, F = 0. As a result, when a = 0, the net force on the locomotive is equal to zero.
a = 0 = 8t -12
8t -12 = 0
8t = 12
t = 12/8 = 1.5 seconds
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ow many times as strong is the coulomb repulsion between two electrons than the gravitational attraction between the same two electrons? (the distance does not matter.)
According to this estimate, at any distance, the gravitational force between two electrons is always 4.1 x 10^42 times stronger than the electric force between them.
What is gravitational attraction?Gravitational attraction definitions. The force of attraction between all masses in the universe, particularly the pull of the earth’s mass on objects that are close to its surface.
Gravitation, gravitational force, and similar terms.
Case Studies of GravityThe force interacting with the Earth and Sun. the driving force behind the Moon’s revolving orbit around the Earth. The force of the Moon is what drives the tides in the ocean. The force trapping every gas inside the Sun.
What triggers the gravitational pull?The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. What gives you weight is that. Moreover, if you lived on a planet with a mass lower than
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How do we know when v final is negative or 0 in projectile motion?
Answer:
The Vertical initial velocity for a projectile can be zero for an infinite number of cases. The only requirement stands that the initial velocity (velocity at the time we start observing) should be zero, independent of acceleration along that axis or any other perpendicular axis.
what is the wavelength of an earthquake that shakes you with a frequency of 11.1 hz and gets to another city 93.0 km away in 14.0 s?
The correct answer is 598.4m
Two key elements in describing a wave's nature are its wavelength and frequency. Wavelength is essentially a measurement of the separation between two adjacent wave crests or troughs. It is always calculated in the direction of the wave, and the sign for it is. Given that it is a measurement of distance, it is stated in terms of metres.
Frequency: The number of times a particle vibrates during a sound wave's passage through a medium is referred to as frequency. The total amount of vibrations that occur within a certain period of time is the frequency.
Wavelength: The distance between two successive curve crests or troughs is known as a wavelength. The distance between the crests and troughs of a high-frequency wave is smaller than that of a low-frequency wave, and vice versa.
s=93km=93000m
f=11.1hz
t=24.43 sec
λ=v/f
λ=s/ft
λ=93000/(11.1)(14)
λ=93000/155.4
λ=598.4m
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An electron was accelerated from rest through a potential difference of 2500 v. what is its speed?
The velocity of electron accelerated from rest through a potential difference of 2500 V will be 2.9654848 × 10⁷ m/s.
We have an electron accelerated from rest through a potential difference of 2500 V.
We have to determine its speed.
What is the Kinetic energy of the electron when accelerated through a potential difference of V volts ?The Kinetic energy of electron when accelerated through a potential difference of V volts is -
E = eV
According to the question -
Applied Potential Difference = V = 2500 volts
The Kinetic Energy of electron = K[E] = 1.6 x 10¹⁹ x 2500.
Therefore -
1/2 mv² = eV
[tex]$v =\sqrt{\frac{2|e|V}{m_{e} }}\\[/tex]
[tex]$v =\sqrt{\frac{2\times 1.6\times 10^{-19}\times 2500}{9.1\times 10^{-31} }}\\[/tex]
v = 29654848 = 2.9654848 × 10⁷ m/s
Hence, the velocity of electron accelerated from rest through a potential difference of 2500 V will be 2.9654848 × 10⁷ m/s.
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Find the resultant of the following forces: (a) 425 newtons at 55 degrees; (b) 5 newtons at 161 degrees; (c) 35 newtons at 320 degrees.
consider F1 = 425 N θ1 = 55
F2 = 5 N θ2 = 161
F3 = 35 N θ3 = 320
Now, take x and y component of force
Fx = F1cos55 + F2cos161 + F3 cos320
fx= 425 * 55 + 5 * (-0.94) + 35 * 0.76
fx =242.2- 4.7+ 26.6
fx =264.1
now fy
Fy = F1sine55 + F2sine161 + F3 sine320
fy= 425 * 0.81 + 5 * 0.32 + 35 * (-0.64)
fy = 344.2+1.6-22.4
fy = 323.4
now resultant force
Fr^2= fx^2+fy^2
= (264.1)^2 + (323.4)^2
Fr= 417
now, consider F1 = 425 N θ1 = 55
F2 = 5 N θ2 = 161
F3 = 35 N θ3 = 320
Now, take x and y component of force
Fx = F1cos55 + F2cos161 + F3 cos320
fx= 425 * 55 + 5 * (-0.94) + 35 * 0.76
fx =242.2- 4.7+ 26.6
fx =264.1
now fy
Fy = F1sine55 + F2sine161 + F3 sine320
fy= 425 * 0.81 + 5 * 0.32 + 35 * (-0.64)
fy = 344.2+1.6-22.4
fy = 323.4
now resultant force
Fr^2= fx^2+fy^2
= (264.1)^2 + (323.4)^2
Fr= 417
now, resultant angle
tan θ =fy/fx
= 323.4/264.1
tan θ = 1.2
θ =0.020
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The writer is considering adding the following sentence after sentence 9. Indeed, kane persuasively argues that diplomacy works best "if we bring it down to our individual communities and the people in the communities. " should the writer add this sentence after sentence 9 ?.
Yes, because it incorporates a second clarifying quotation from the expert, adding more weight to the argument presented in phrase 9.
Within a group of diplomats, negotiations and bargaining essentially consist of trying to get more than you are likely to get by negotiating, and eventually reaching a compromise. On occasion, foreign officials will join ongoing negotiations for assistance. Because it advances the interests under its purview and strengthens nations, states, and organizations, diplomacy is significant. The primary tool of foreign policy, which stands for the more general objectives and plans that direct a state's relations with the rest of the world, is diplomacy. Diplomatic negotiations and processes typically lead to international treaties, accords, alliances, and other manifestations of foreign policy. Diplomats may also provide government with advice to assist form a state's foreign policy.
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A human-operated spaceship reaches the moon in 3 days. the moon is about 386,400 km from earth. mars, our closest planetary neighbor, is, at its closest, about 140 times farther away from us than the moon if mars stays in place. assuming a very simple model of the solar system, about how long would it take that same spaceship to reach mars?
That identical spaceship takes around a year to get to mars.
The Earth's axial wobble is stabilized by the Moon, the biggest and brightest object in our night sky, leading to a typically stable climate. As a result, Earth is a more hospitable planet. Moreover, it produces tides, which result in a rhythm that has guided mankind for a very long time. The following calculation must be performed to determine how long it will take the same spacecraft to reach Mars given that Mars is 140 times further away from Earth than the Moon and that a spacecraft can traverse the 386,400 kilometers between the Earth and the Moon in 3 days:
140 x 3 = 420 days
This spaceship will travel from Earth to Mars in just about one year and two months, assuming a year has 365 days.
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what is the number of waves here?
Answer: i counted 10 waves on your graph
Explanation: hope this helps!!!
Answer:
The Number of waves is 9 based on the trough and crest.
a honeybee leaves the hive and travels a total distance of 2 km before returning to the hive. what is the magnitude of the displacement vector of the bee? why?
The magnitude of the displacement vector of the bee will be 2 km. Because the distance between the endpoints is 2km.
What is displacement?A displacement is a vector in engineering and mechanics that has a length equal to the smallest distance between a point P's initial and final positions. It is a vector quantity. The SI unit of the displacement is the meter.
A honeybee leaves the hive and travels a total distance of 2 km before returning to the hive.
The bee's displacement vector will be 2 kilometers in length. Mostly due to the 2 kilometers between the terminals.
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2. A car acquires a velocity of 32 m/s by accelerating at 4.0 m/s²
for 5.0 s. What was its initial velocity?
Answer:
v = a t = 4 m/s^2 * 5 s = 20 m/s
It can increase its speed by 20 m/s
Using V = V0 + a t
V0 (initial speed) had to be 12 m/s
receptacles have several screw terminals for the attachment of circuit conductors. match the following screws with their intended conductor.
A. Equipment grounding conductor B. Hot (phase) conductor C. Grounded (white) conductor
Matching is done as:Silver-colored screw is matched with C) Grounded (white) conductor
Brass-colored screw is matched with B) Hot (phase) conductor
Green hexagonal screw is matched with A) Equipment grounding conductor.
Electrical conductorA substance or material that permits the flow of electricity is known as an electrical conductor.
What are the three different types of conductors?When a voltage is applied, electrical charge carriers, typically electrons or ions, move easily from atom to atom.
Are conductors a component of a circuit?There are four different types of conductors: good conductors, semiconductors, resistors, and non-conductors.
Metals are effective electrical conductors. One or more loosely bonded valence electrons, or even just one, can be found in metals. These electrons can freely flow around an electric circuit, creating a domino-like effect.
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CA-Common Core English Language Arts 9 A
Answer:
The standards establish guidelines for English language arts (ELA) as well as for literacy in history/social studies, science, and technical subjects.
Explanation:
Answer:
A
Explanation:
The advantage of using the scientific method is that
A: it's cautious building of evidence-based understanding is dependable and logical.
B: it's random way of trying everything covers all options
C: any evidence in disagreement with a theory can be thrown out.
D: continual testing leads to mistakes being made.
The correct option is A.
The advantage of using the scientific method is that it is having a well-cautious building of evidence-based understanding that is dependable and logical.
The scientific method includes rigorous observation in addition to logic as a system of reasoning for organizing but for deducing beyond what is known from observation. Induction, prediction, and analogy are only a few examples of different reasoning techniques.
Evidence, as used in legal contexts, is generally defined as information, facts, or data that supports (or refutes) a claim, assumption, or hypothesis. In reality, anything could qualify as proof provided it is deemed to be true, trustworthy, and pertinent.
Although scientists frequently utilize evidence in other ways, such as when applying ideas to real-world issues, scientific evidence is evidence that helps to either support or refute a scientific theory or hypothesis.
Generally speaking, scientific evidence is founded on the knowledge that has been acquired via the application of the scientific method. This indicates that the evidence's underlying assumptions have undergone testing and general acceptance in the scientific community.
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the length of the eye and the curvature of the cornea determine the refractive error of an eye. hyperopia, or farsightedness, is produced by a shorter-than-normal eye.
True, the length of the eye and the curvature of the cornea determine the refractive error of an eye. Hyperopia, or farsightedness, is produced by a shorter-than-normal eye.
What is Hyperopia?With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.
Your ability to focus is influenced by how farsighted you are. People with severe farsightedness might only be able to see objects that are far away clearly, whereas people with mild farsightedness might be able to see objects that are nearby clearly.
SymptomsBeing farsighted can mean:
Nearby objects might seem hazy
Squinting is required to see clearly.
You experience eye pain or discomfort around the eyes as well as eyestrain.
After performing close work, such as reading, writing, using a computer, or sketching, for a while, you have general eye discomfort or a headache.
A distortion of focusYour cornea or lens must be uniformly and smoothly bent to allow light to pass.
You have a refractive error if your cornea or lens are not uniformly and smoothly curved, which causes improper light refraction.
When your cornea is overly flat or your eyeball is shorter than normal, you develop farsightedness. Nearsightedness has the opposite impact.
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How many fundamental charges make up the value of the enclosed charge? (answer in billions)
[tex]{\color{Blue} N=3.47\ billions}[/tex]
The electric flux through green spherical surface is[tex]\rightarrow \Phi=62.8\ N\ m^{2}\ C^{-1}[/tex]
Permittivity of free space is [tex]\rightarrow \epsilon_{0}=8.85\times10^{-12}\ F\ m^{-1}[/tex]
Fundamental unit charge value is [tex]\rightarrow q=1.602\times10^{-19}\ C[/tex]
According to Gauss's law, electric flux is directly proportional to the enclosed charge [tex]Q_{enc}[/tex] inside spherical surface, which is given as:
[tex]\therefore \Phi=\frac{Q_{enc}}{\epsilon_{0}}[/tex]
[tex]\therefore Q_{enc}=\Phi \epsilon_{0}[/tex]
[tex]\therefore Q_{enc}=62.8 \times8.85\times10^{-12}[/tex]
[tex]\therefore Q_{enc}=555.75\times10^{-12}\ C[/tex]
therefore, total enclosed charge inside spherical surface is [tex]Q_{enc}=555.75\times10^{-12}\ C.[/tex]
Since charge is quantized, number of fundamental charges N is given as:
[tex]Nq=Q_{enc}[/tex]
[tex]\therefore N=\frac{Q_{enc}}{q}[/tex]
[tex]\therefore N=\frac{555.76\times10^{-12}}{1.602\times10^{-19}}[/tex]
[tex]{\color{Blue} \therefore N=3.47\times10^{9}}[/tex]
[tex]{\color{Blue} \therefore N=3.47\ billions}[/tex]
Therefore, [tex]{\color{Blue} N=3.47\ billions}[/tex] fundamental charges make up the value of the enclosed charge.
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How much work have you done when you lift a 90-N child 0.5 m
Answer: not alot
Explanation:
If a rolling ball had 18 joules of KE and is rolling 3 m/s, what is the mass?
Answer:
4Kg
Explanation:
1/2mv²=K.E
1/2m×3²=18J
1/2m×9=18
9m=18×2
9m=36
m=36/9
m=4Kg
Answer:
F=MA FORSE= MASS X ACCELERATION
Explanation:
So the answer should be 54 as 18 X 3 = 54
( I read the question wrong)
Cooper communicates with brand using radio waves of wavelength 300 m. what is the frequency of this wave?
The frequency of electromagnetic waves is 10⁶ Hz or 1 MHz.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
λ = 300 m
By substituting the given parameter, we can calculate the frequency of radiowaves
c = λ . f
f = c / λ
f = 3 x 10⁸ / 300
f = 10⁶ Hz
f = 1 MHz
Hence, the frequency of radiowaves is 10⁶ Hz or 1 MHz.
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a rock takes 2.65 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.2 m/s.
The rock takes 2.65 s to hit ground when it is thrown up from the cliff with initial velocity of 8.2 m/s. The cliff is of 8.26 meters height.
What is a cliff?A cliff is a section of rock with an overall angle defined by the vertical or nearly vertical in geography and geology. Cliffs are created by the gravitational effects of weathering, erosion, and other activities. Cliffs are typical around rivers, in mountainous regions, escarpments, and on coastlines. Typically, cliffs are made of weather- and erosion-resistant rock. Sandstone, limestone, chalk, and dolomite are the sedimentary materials most likely to result in cliff formation. Cliffs are frequently formed by igneous rocks like granite and basalt. A geologic fault's movement, a landslide, or occasionally rock slides or falling rocks that alter the differential erosion of the rock can result in an escarpment (or scarp), a type of cliff.
The known values are: t=2.65st=2.65s;
y=0m,v0=+8.00m/sv
0=+8.00m/s; and a=-9.8m/s^2
a=-9.8m/s^2[tex]\sqrt{x} \sqrt{x} \sqrt{x} \sqrt{x}[/tex]
Based on the given values, the formula that we shall use is
y=y0+v0t+1/2at^2
Substituting the values, we have
y=y0+v0t+1/2at^2
=8.26m
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If a balloon is filled with 1.205 quarts of radon gas how many atoms will be in the balloon?
By Avogadro's number, the radon atoms is 3.02 x 10²² atoms.
We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many carbon atoms are in one mol. The Avogadro's number is
Na = 6,02 × 10²³ atoms / mol
From the question above, we know that
V = 1.205 qt = 1.205 x 0.95 lt= 1.14475 lt
ρ = 9.73 g/lt
Ar = 222
Calculate the mass of radon
m = ρ . V
m = 9.73 . 1.14475
m = 11.14 gram
Calculate the moles
n = m / Ar
n = 11.14 / 222
n = 0.05 mol
Calculate the number of atoms
N = n . Na
N = 0.05 . 6,02 × 10²³
N = 3.02 x 10²² atoms
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What is the length of RG, if PR=2 and PG=16? P R G
The length of RG, given the data from the question is 14
Data obtained from the questionFrom the question given above, the following data were obtained:
Length of PR = 2Length of PG = 16Length of RG =?How to determine length of RGWe can obtain the length of RG as illustrated below:
Length of PG = Length of PR + Length of RG
Thus,
Length of RG = Length of PG - Length of PR
Length of RG = 16 - 2
Length of RG = 14
Therefore, we can conclude that the length of RG is 14
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Suppose you measured the acceleration due to gravity and got a value of 10.1 m/s2. if the accepted value is 9.81 m/s2 , what is the percent error in your measurement (absolute value only)?
The percent error in your measurement is 2.95 % error.
here it is for the reason that the actual value is 9.81 [tex]m/s^{2}[/tex].
And the calculated value is 10.1 [tex]m/s^{2}[/tex].
Error = 10.1-9.81
= 0.29
Now percentage error = [tex]\frac{0.29}{9.81}*100[/tex]
= 2.95 %
So, the required error is 2.95 percent.
To degree the percent errors within the given records we should have the idea of percent and error calculation.
To measure the error we should calculate the difference in the real price and the calculated fee.
And to calculate the proportion we ought to divide the received error cost by using the actual price and multiply by means of a hundred.
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how far would it be from the milky way galaxy to the most distant galaxies in the observable universe on this scale?
The two marbles are separated by around 133 m or 30 vehicle lengths.
It is possible to determine the distance between our marble and the most distant galaxies in the universe by first comparing the size of the Milky Way Galaxy to that of a marble.The Milky Way Galaxy is just around 2,000 LY (Light Years) thick and roughly 100,000 LY (Light Years) wide.
Let's continue using the conversion of:
1 cm = 100,000 LY
The Andromeda and Triangulum galaxies are two of the noteworthy members of the Local Group, a collection of galaxies nearby to our own. On this scale, we can assume that distance from Earth and distance from the edge of the Andromeda Galaxy are approximately 2.5 MLY (2.5 Million Light Years) apart.The galaxy spans about 220,000 LY. So let's determine where to place this marble:
2,500,000/100,000 = 25 cm
We may lay a marble to symbolise the Andromeda Galaxy that is nearly twice the size of our Milky Way Galaxy marble at 25 cm.
We can see farther as our observational equipment advances. A galaxy 13.3 BLY distant is the furthest object Hubble can currently observe .
So let's try placing the marble here:
13,300,000,000/100,000 = 13,300cm = 133m
To put this into context, the two marbles are separated by around 30 vehicle lengths.
See the reference pic below:
The complete question is: In a scale model of the Local Group of Galaxies, in which the Milky Way Galaxy was the size of a marble (about 1 cm in diameter), how far would it be from the Milky Way Galaxy to the most distant galaxies in the observable universe on this scale?
How much metabolic energy must a bird of mass 200 g expend to fly to a height of 20 m? neglect all losses due to friction, physiological imperfection, and the acquisition of kinetic energy.
The amount of metabolic energy expended by the bird is 39.2 J.
What do you mean by energy?Energy is the ability to perform work in physics. It might exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another. Energy is always assigned based on its type once it has been transmitted. Thus, heat transmitted may appear as thermal energy while labor performed may result in mechanical energy. Motion is a property of all energy types. For instance, if a body is moving, it possesses kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is due of its design, which includes potential energy.
E = mgh = (0.20)*(9.8)*(20) = 39.2 J
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determine the design angle ϕ ( 0 ° ≤ ϕ ≤ 90 ° ) ϕ(0°≤ϕ≤90°) between members ab and ac so that the 400-lb horizontal force has a component of 600 lb which acts up to the right, in the direction from b toward a. also calculate the magnitude of the force component along ac. take
The magnitude of the force along ac is 322.97 lb and the design angle of the system is ϕ = 38.26°
The Given problem can be solved on the Parallelogram law of vector addition and law of sines,
from the figure, we can write
F = √(400² + 600² - 2(400 × 600)cos 30)
F = 322.97 lb
In order to get the design angle, we will solve by:
(sinϕ)/(sin 30) = 400/322.97, where ϕ is the design angle.
therefore
sinϕ = (400/322.97) × sin 30
sinϕ = 1.2385 × 0.5
sinϕ = 0.61925
ϕ = sin^(-1) 0.61925
ϕ = 38.26°
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Under each diagram right the net force and the direction in which the boxes will move
Green box is subject to balanced force, while red, blue, and green boxes are under unbalanced force.
When there is a balanced force, forces acting in the opposite direction are applied to the body. Zero net force is produced when equal forces are applied in each direction. The body continues to be in an equilibrium state. The body doesn't accelerate at all.
If it was initially at rest, it stays there, and if it was in motion, it keeps moving constantly while under an unbalanced force. The net force is not zero when just one direction is affected by the force of direction. Alternatively, the direction of motion is determined by the net resultant force when the forces acting on each side are not equal.
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a car has wheels with a 12 inch radius. if each wheel's rate of turn is 5 revolutions per second, find the angular speed in units of radians/second.
The angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.
Angular speed of the car's wheel
The angular speed of the car's wheel is calculated as follows;
ω = 5 rev/sec
Convert the angular speed in revolutions per second to radian per second.
ω = 5 rev/sec x 2π rad/rev
ω = 10π rad/sec
ω = 31.42 rad/sec
Thus, the angular speed of the car's wheel in units of radians/second is determined as 31.42 radian per second.
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a computer's power supply converts mains ac to low-voltage regulated dc power for the internal components of a computer. you are building a new computer. you are deciding which type of power supply to install. which of the following definitions best describes a valid type of power supply?
In order to prevent overloading of any circuit, dual rail electrical supply includes independent tracks and P C B traces that are used to offset voltage sags between various circuits.
Using conductive paths, tracks, or signal traces etched from copper sheets laminated onto a non-conductive substrate, a printed circuit board, or PCB, is used to mechanically support and electrically link electronic components.
Semiconductors are used by practically all inverters to generate a controlled power output. An input voltage is rectified if the source has an ac input.
It is, therefore, the proper response.
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The density of aluminum is 2700 kg/m3. if transverse waves propagate at in a aluminum wire, what is the tension on the wire?
The tension on the wire is 52.02N.
Using the formula:
[tex]v = \sqrt{\frac{T}{u} }[/tex]
where, v = speed of sound wave
T = tension in wire
μ = mass per unit length
The area of aluminium wire is : [tex]\frac{\pi d^{2} }{4}[/tex]
Area = 1.66×[tex]10^{-5}[/tex][tex]m^{2}[/tex]
and μ = ρA = 2700×1.66×[tex]10^{-5}[/tex]
μ = 0.045kg/m
Therefore, tension is :
[tex]v = \sqrt{\frac{T}{u} }[/tex]
[tex]34^{2} = \sqrt{\frac{T}{0.045} }[/tex]
Solving for T we get, T = 52.02N.
Therefore, the tension on the wire is 52.02N.
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A cyclotron with a magnetic field of 0.36 t is designed to accelerate protons in a circle with a radius 0.56 m. what is the angular frequency of the proton? answer in units of rad/s.
The angular frequency of the proton which is cyclotron with a magnetic field of 0.36t is 4.31 x 10⁷ rad/s .
What is magnetic field ?The electromagnetic force, one of the four fundamental forces of nature, is the origin of the magnetic force, which is produced by the movement of charges. Any two charge-containing objects travelling in the same direction are attracted to one another magnetically.
The electromagnetic force, one of the four basic forces of nature, produces the magnetic force, which is caused by the movement of charges. A magnetic attraction draws two charge-containing objects together when they are moving in the same direction.
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