The amplitude of a linearly damped harmonic oscillator decreases from 60. 0 cm to 40. 0 cm in 10. 0 s. What will be the amplitude of the harmonic oscillator after another 10. 0 s passes?.

Answers

Answer 1

The amplitude of the harmonic oscillator after 20s is calculated to be 32 cm.

What is amplitude?

Amplitude is defined as the the maximum displacement from equilibrium.  Amplitude of a wave is taken as the distance from the center line to the top of a crest or to the bottom of a trough .

Given, At =  40 cm at 10 s

Given, Ao = 60 cm and time, t = 10

Formula for amplitude is :

At = Ao (e^t/τ)

40 = 60 e^10/τ

ln 2/3 = 10/τ

τ = 24.66

A20 s = 60 e ^(2-/24.66)

A20 s = 32 cm

The amplitude of the harmonic oscillator after 20 s is 32 cm.

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Related Questions

Directions: Analyze the following statements, identify the unknown quantity and show its direction through the use of symbols. Write your answers in one whole sheet of paper. Once done, upload it in the dropbox.

1) A magnetic field points down. A charge moves left to right. What is the direction of the force?
2) A magnetic field points out of the page. A positive charge moves down. What is the direction of the force?
3) A magnetic field points down. A positive charge moves up. What is the direction of the force?
4) The force points down The positive charge moves from right to left What is the direction of the magnetic field?
5) The force points down. The magnetic field points from right to left What is the direction of the velocity of the positive charge.

Answers

1.A magnetic field points down (B down) and a charge moves left to right (v right). The direction of the force (F) on the charge due to the magnetic field is up (F up) because it is perpendicular to the velocity and magnetic field (right-hand rule).

2.A magnetic field points out of the page (B out) and a positive charge moves down (v down). The direction of the force (F) on the charge due to the magnetic field is to the left (F left) because it is perpendicular to the velocity and magnetic field (right-hand rule).

3.A magnetic field points down (B down) and a positive charge moves up (v up). The direction of the force (F) on the charge due to the magnetic field is to the right (F right) because it is perpendicular to the velocity and magnetic field (right-hand rule).

4.The force (F down) points down and the positive charge moves from right to left (v left). The direction of the magnetic field (B) is into the page (B into) because it is perpendicular to the velocity and force (right-hand rule).

5.The force (F down) points down and the magnetic field (B left) points from right to left. The direction of the velocity (v) of the positive charge is up (v up) because it is perpendicular to the magnetic field and force (right-hand rule).

How is a magnetic field formed?

When an electrically charged particle moves, a magnetic field is created. According to the laws of electromagnetism, this magnetic field originates from the variation in intensity of the electric field.

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as observed from earth, rocket alpha moves with speed 0.90c and rocket bravo travels with a speed of 0.52. they are moving along the same line toward a head-on collision. what is the speed of rocket.alpha as measured from rocket bravo ?

Answers

The speed of rocket alpha as measured from rocket bravo is 0.31c due to head-on collision.

In physics, the change in momentum causes a head-on collision. As was already explained, an object's momentum is a property that results from a change in velocity in reaction to an applied force. Before a collision may occur, the momentum must equal zero and this is called head-on collision.

The target particle's velocity following a head-on impact in which the projectile is significantly more massive than the target will be roughly twice that of the projectile, but the projectile's velocity will remain practically unaltered.

speed of rocket alpha=0.90 c

speed of rocket bravo=0.52c

Now, in order to find the speed of rocket alpha measured from rocket bravo =0.90-0.52c

speed=0.31c

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The speed of the rocket alpha when observed from rocket bravo is calculated to be 1.42c.

Alpha rocket is travelling at a speed of 0.90c, while Bravo rocket is flying at a speed of 0.52c.

The two rockets are heading straight at one another in the same direction to collide.

When the rocket's frame of reference is the Bravo rocket, the rocket's speed can both be perceived from the earth's perspective and

Therefore, the rocket Bravo is moving, and the rocket Alpha will approach it more quickly.

If Rocket Alpha's speed is V₁ and Rocket Bravo's speed is V₂, then Rocket Alpha's speed from Rocket Bravo is V₁₂.

V₁₂ = 0.52 -(-0.90)

V₁₂ = 1.42c

Therefore, the rocket alpha's speed from the rocket bravo is 1.42c.

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suppose the distance from the lens system of the eye (cornea + lens) to the retina is 17 mm.

Answers

A) The power of the lens be when looking at distant objects is 58.823 D

B) The power of the lens be when looking at an object 20.0 cm from the eye is 63.823 D

According to the Dictionary of Ophthalmic Optics, the definition is stated thus: “The straight line measurement in millimeters (z axis) from the back or ocular surface vertex of a mounted spectacle lens to the apex of the cornea.” For a more practical definition, it is the straight line distance in millimeters from the back surface of any lens (mounted in spectacles or not) to the apex of the cornea.

(a) Power  1/p

      = 1/f

      = 1/ .017 m

      = 58.823 D

(b) 1/q + 1/p

    = (1/0.20 m) + (1/.017 m)

     = 63.823 D

The given question is incomplete, the complete question is

Suppose the distance from the lens system of the eye (cornea +lens) to the retina is 17 mm.

(a) What must the power of the lens be when looking at distant objects?

(b) What must the power of the lens be when looking at an object 20.0 cm from the eye?

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a voltaic cell is based on ag+(aq)/ag(s) and fe3+(aq)/fe2+(aq) half-cells. A.) Which reaction occurs at the cathode, and which at the anode of the cell?Express your answer as a chemical equation. Identify all of the phases in your answer. B.) Express your answer as a chemical equation. Identify all of the phases in your answer.

Answers

A) The reaction that occurs at the cathode of the cell is the reduction of Ag+ ions to Ag metal:

Ag+(aq) + e- → Ag(s)

The reaction that occurs at the anode of the cell is the oxidation of Fe2+ ions to Fe3+ ions:

Fe2+(aq) → Fe3+(aq) + e-

B) The overall reaction for the voltaic cell can be obtained by combining the half-cell reactions:

Ag+(aq) + Fe2+(aq) → Ag(s) + Fe3+(aq)

Note that this overall reaction is the sum of the two half-cell reactions. The overall cell reaction is not a redox reaction but it's a combination of two different oxidation-reduction reactions.

In this case, Ag+(aq) is the oxidizing agent and Fe2+(aq) is the reducing agent on the cathode side, and Fe3+(aq) is the oxidizing agent on the anode side.

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The allowed energies of a simple atom are 0.0 eV, 4.0 eV, and 6.0 eV.Part A. What wavelength(s) appear(s) in the atom's emission spectrum? If there is more than one answer, enter your answers in ascending order separated by commas.Part B. What wavelength(s) appear(s) in the atom's absorption spectrum? If there is more than one answer, enter your answers in ascending order separated by commas.

Answers

The wavelength appear in the atom's emission spectrum and  atom's absorption spectrum are determined to be 3.1 x 10^-7m and 2.1 x 10^-7 m respectively.

A spectrum of atomic emission lines: what is it?

When light is dispersed into its various frequencies by a prism, a pattern of lines called an atomic emission spectrum is the result. The hydrogen atomic emission spectrum is depicted in the figure below.

Planck's theory:

E = hc/λ;

h => planck's constant

λ => wvelength

for 4eV:

λ = hc/E

  => 6.626 x 10^-34 x 3 x 10^8/ 4 x 1.602 x 10^-19

 => 3.1 x 10^-7m

for 6 eV:

  => 6.626 x 10^-34 x 3 x 10^8/ 6x 1.602 x 10^-19

=> 2.1 x 10^-7 m

How is a spectrum of atomic absorption created?

When light is transmitted through a cold, diluted gas, the gas's atoms absorb at specific frequencies, creating an absorption spectrum. Since the re-emitted light is unlikely to go in the same route as the absorbed photon, this leads in dark lines (absence of light) with in spectral region.

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The use of informal diction in a farewell to arms robs the passage of having a deeper meaning. Helps to maintain the realism of the dialogue. Lends an air of absurdity to the dialogue. Reduces the readability of the passage.

Answers

Answer:

helps to maintain the realism of the dialogue

Explanation:\

     

Read the excerpt from paragraph 1.
Apollo 14 launched in the late afternoon of January 31, 1971, on what was to be our third trip to the lunar surface. Five days later Alan
Shepard and Edgar Mitchell walked on the Moon while Stuart Roosa, a former U.S. Forest Service smoke jumper, orbited above in the
command module.
What is the meaning of the phrase command module as it is used in the excerpt?
A. the part of a spacecraft that contains support systems
B. a satellite designed to orbit the Moon
C. the detachable part of a spacecraft
D.the detachable part of a spacecraft
a satellite designed to hold a human astronaut

Answers

Answer: The detachable part of a spacecraft

Explanation:

Answer:

C.

Explanation:

detachable part of a spacecraft

QUESTION 1
When properly climbing a ladder, the firefighter should look:

Answers

When properly climbing a ladder, the firefighter should always look forward with his or her arms straight, grasping alternate rungs.

What safety precaution should be taken when heeling a ladder?When someone is climbing a ladder, look ahead, not up. Floor ladder integration includes: Secure the ladder to a stationary object using a rope hose tool or safety belt.(Both hands and one foot or both feet and one hand) Contact while climbing a ladder. Keep your body near the middle of the step and always face the ladder when climbing (see image). Use ladders and related accessories (ladder levelers, jacks or hooks) only for their intended purpose. rungs, steps, or feet.Keep wires away from power lines and live electrical wiring. Despite these and other warnings, electrocution deaths still occur each year. To avoid this hazard, the CPSC recommends using non-conductive ladders, such as ladders, when working near overhead power lines, fiberglass with non-conductive side rails.

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Complete Question is as follows:

When properly climbing a ladder, the firefighter should look:

Select one:

a. toward the ladder tip with feet placed toward the center of the rungs.

b. forward and place his or her feet toward the center of the rungs.

c. toward the ladder tip and the beams.

d. forward with his or her arms straight, grasping alternate rungs.                                                                                                        

Two students push a car out of the mud. One pushes with 10 Newtons, the other with 7
Newtons. Will they overcome the friction force of 15 Newtons?

Answers

Answer:

The students will be able to overcome the friction force if the combined force they apply is greater than 15 Newtons. To find the combined force, you can add the forces applied by each student: 10 Newtons + 7 Newtons = 17 Newtons. Since 17 Newtons is greater than 15 Newtons, the students will be able to overcome the friction force and push the car out of the mud.

Explanation:

Why are there volcanoes along the west coast of the United States?

Answers

Answer: (Look in explanation)

Explanation:

There are volcanoes along the west coast of the United States because East and other places because they don't have global tectonic features (tectonic plate boundaries and hot spots in the mantle layer). Those cause volcano's activity to start.

An action/reaction pair of forces ....
Select all that are True.
act on the same object.
point in the opposite direction.
act on two different objects.
point in the same direction.

Answers

Action-reaction pairs are forces that operate on separate objects in opposing directions and at identical magnitudes. Never do they affect the same thing. We learn that forces are interactions from Newton's third law.

An action-reaction pair is what?

When two bodies contact, they exert an equal and opposite force on one another in accordance with Newton's third rule of motion. Action-reaction forces are made up of these forces.

What do action and reaction forces look like in practice?

Think about how a baseball bat and a ball interact, for instance. The bat forces the ball to the right while the baseball forces the bat to the left. The action-reaction force pair is made up of these two forces acting on two separate objects together.

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Two objects are dropped from a bridge, an interval of 1. 0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation.

Answers

A bridge drops two items at a distance of 1.0 seconds apart. There is very little air resistance. It implies that distance grows with passing time.

Describe resistance.

Resistance seems to be the capacity of a chemical to prevent the movement of electrical charge. R, capitalized, serves as its emblem. The most common unit of resistance is the ohm, which is frequently expressed as a syllable and occasionally represented by that of the classical Greek letter omega.

What metrics are used to quantify resistance?

Resistance is measured with a device like a multimeter, either analog or digital. Both kinds of instruments are valuable in a variety of applications since they can act a certain way as well as stream, voltage, or other factors.

let first object at t = 0,

initial velocity, u = 0,

1st ball, s1 = 1/2gt²

2nd ball s2 = 1/2 g(t - 1)²

separation between them,

s1 - s2 = 1/2 gt² - 1/2g(t - 1)²

= 1/2 g[t² - t² + 2t - 1]

= 1/2 g(2t - 1)

= separation ∝ (2t - 1)

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Among discovered meteorites, we have found some with all the following origins EXCEPT... A. Being a fragment of a shattered asteroid. B. Being a fragment from the surface of the Moon. C. Being a fragment from Cornet Halley. D. Being a fragment from the surface of Mars.

Answers

We have discovered meteorites with ALL of the following sources, EXCEPT one being a piece of the comet Halley, among the identified meteorites.

Where do most meteors come from? Most meteors come from what place?

Our solar system is where all meteorites originate. Most of them are pieces of ancient asteroids that shattered into smaller pieces in the asteroid belt, which is situated between Mars and Jupiter.

How did asteroids get their start?

Asteroids are remains of the solar system's creation, which occurred around 4.6 billion years ago. Early on, the formation of Jupiter stopped any planetary bodies from forming in the space between Mars and Jupiter, causing the small particles that were already present to smash and shatter into the asteroids we know today.

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A car travels 100m in 2s northbound. What is it’s velocity

Answers

Answer:

50m/s

Explanation:

velocity= displacement/time

v=100m/2

v=50m/s

when a proton is traveling at 0.80c, what is the ratio of its kinetic energy to its rest energy? A.60 B.1.2 C.0.80 D.1.7 E.0.67

Answers

The ratio of its kinetic energy to its rest energy will be D) 1.7

When a proton is traveling at a velocity of 0.80c, the ratio of its kinetic energy to its rest energy can be calculated using the equation E_k/E_0 = (γ - 1).

Here, γ is the Lorentz factor, which is calculated by γ = 1/√(1 - v^2/c^2). Substituting 0.80 for v and 3x10^8 for c, we get γ = 5.

Therefore, the ratio of kinetic energy to rest energy is 4 (γ - 1), or 4(5 - 1), which is equal to 16. Therefore, the correct answer is D: 1.7.

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Calculate the magnitude of the impulse applied to a 0. 75-kilogram cart to change its velocity from 0. 50 meter per second east to 2. 00 meters per second east. [show all work, including the equation and substitution with units. ].

Answers

The impulse's strength would be 1.125 N s in the direction of the east.

We are given that,

Final velocity =V final = 2.00m/s

Initial velocity = V initial = 0.50m/s

ΔV = V final - V initial

ΔV = 2.00 - 0.50

ΔV = 1.50 towards East

Therefore , impulse can be calculated as ,

impulse = change of linear momentum

impulse = mass ×  change in velocity

impulse =  0.75 ×1.5

impulse =  1.125 N s towards  East

Therefore, the impulse's strength would be 1.125 N s in the direction of the east.

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Impulse's strength would be 1.125 N s in the east direction.

As per the given information:

Final velocity =V final is 2.00m/s

Initial velocity = V initial is 0.50m/s

ΔV = V final - V initial

ΔV = 2.00 - 0.50

ΔV = 1.50 towards East direction

The total impulse can be calculated as ,

Impulse = change of linear momentum

Impulse = mass ×  change in velocity

Impulse =  0.75 ×1.5

Impulse =  1.125 N s towards  East

Hence, the impulse's strength would be 1.125 N s in the direction of the east.

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a 0.5kg mass on a 1 m long string swings in a circle on a horiontal frictionless table at a steady speed of 2m/s. how much work does the tension on the string do on the mass

Answers

0 joule work done does the tension in the string do on the mass during one revolution.

What is a joule equal to?

One joule equals the work done (or energy expended) by a force of one newton (N) acting over a distance of one meter (m). One newton equals a force that produces an acceleration of one meter per second (s) per second on a one kilogram (kg) mass.

What is the value of 1 unit in joule?

Let us calculate the value of 1 unit of electrical energy in terms of the SI unit of energy which is joules. Converting the equation in terms of energy gives us: Energy consumed=Power×Time. One unit of electrical energy is equal to 3.6×106J of energy.

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What is the 3rd Law of coilation?

1. Bounce
2. Gravity
3. Re-flux

Answers

Answer:

Re-flux

Explanation:

Multiple Choice: Identify the choice that best completes the statement or answe
Which item would have more inertia?
1.
a. truck
b. paper
c. baseball
d. cat

Answers

The best item that would have more inertia is a truck. The correct option is a.

What is inertia?

A feature of matter known as inertia is the ability to maintain either a state of rest or uniform motion in a straight line without the assistance of an external force. Case Studies of the Law of Inertia in Daily Life (Inertia of Motion) People slump forward when the bus abruptly stops.

The top part of the body continues to move forward due to inertia of motion when the driver of a bus abruptly brakes, but the bottom section of the body comes to rest along with the bus.

Therefore, the correct option is a. truck.

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Units of power include which of the following?
I) Watt
II) Joule per second
III) Kilowatt-hour
a) I only
b) III only
c) I and II only
d) II and III only
e) I, II, and III

Answers

Answer:

c) I and II only

Explanation:

Power is measured in Watts(W) and Joules per second (J/s)

Answer:

(C)   the definition of a watt is joule / sec which is a unit of power

a kilowatt-hour is the definition of 1000 watts over a period of 1 hr which is a unit of energy

a galaxy with little cool gas or dust and no evidence of ongoing star formation is most likely a(n)

Answers

A galaxy with little cool gas or dust and no evidence of ongoing star formation is most likely an elliptical galaxies.

Most brilliant galaxies are spiral galaxies that have been compressed. But a sizable portion of brilliant galaxies are elliptical galaxies. Elliptical galaxies have relatively little gas and dust, and what little gas and dust they do have is hot and diffuse. As a result, star formation is not currently occurring in elliptical galaxies. Old Population II stars make up the stars in elliptical galaxies. Ellipsoidal galaxies Do Not rotate quickly, in contrast to the disks of spiral and lenticular galaxies.The majority of elliptical galaxies are made up of older, low-mass stars, have a scant interstellar medium, little star formation, and are frequently ringed by numerous globular clusters. Elliptical galaxies aren't the most prevalent type of galaxy in the cosmos, accounting for only about 10-15% of galaxies in the Virgo Supercluster.  They are more frequently discovered close to the galactic cluster centers.

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Two plane mirrors meet at a 135º angle (see Figure 1). If light rays strike one mirror at an angle of 38 º, as shown, at what angle ϕ do they leave the second mirror?

Answers

The light rays leave the second mirror at an angle of 173º.

The angle of incidence of light rays striking the first mirror is 38º. When light strikes a mirror, the angle of incidence is equal to the angle of reflection.

So, the angle of reflection of the light rays striking the first mirror is also 38º.

The two mirrors form a 135º angle, and the angle of reflection of the light rays is 38º. So, if we add those two angles together, we get:

38º + 135º = 173º

The light rays leave the second mirror at an angle of 173º. Therefore, the angle ϕ is equal to 173º.

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What used to indicate the beginning of the solar system formation?

Answers

The beginning of solar system development is most likely indicated by the big bang theory. An explanation for how the universe grew from a high density starting state is provided by the Big Bang theory.

And temperature. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang theory. The Sun and the things that circle it make up the solar system, which is gravitationally bound. The gravitational collapse of a massive interstellar molecular cloud gave it birth 4.6 billion years ago. 99.86% of the system's mass is in the Sun, with the planet holding the majority of the remaining mass.

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The nebular hypothesis is the most widely recognized cosmogony theory to explain how the Solar System started and evolved (as well as other planetary systems). It implies that gas and dust orbiting the Sun are what created the Solar System.

What has science discovered to be the strongest proof of the solar system's age?

Over 70 different types of meteorites have undergone radiometric dating to ascertain their ages. The findings suggest that between 4.53 and 4.58 billion years ago, the Solar System and meteorites both began to develop.

What are the 4 phases of the development of the solar system?

Scientists believe that the formation of terrestrial planets like Earth several billion years ago resulted from the coalescence of hot blobs of molten rock and metal from dust and gas. Before they developed into separate planets, they went through four stages of development: differentiation, cratering, flooding, and surface evolution.

What is the name of the solar system's nucleus?

The solar nebula

4.6 billion years ago, the solar nebula, a cloud of gas and dust, gave rise to the Sun and the planets.

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the magnetic field in the figure is decreasing at the rate 0.7 t/s . (figure 1)

Answers

The magnitude of the acceleration of a proton at rest at point a is [tex]3.35\times10^{5} m/s[/tex]

The concepts of Faraday's law, Ampere's law, Lenz's law, and the right-hand thumb rule are needed to solve this problem. First, determine the relationship between the electric field and the rate of change of the magnetic field using Faraday's law and Ampere's law. Discover the expression of a proton's acceleration at various sites by using the relationship between force and the dielectric field.

[tex]\frac{dB}{dT} =0.7T/sec[/tex]

F=ma=qE

a= [tex]\frac{qE}{m}[/tex]

a = [tex](\frac{qr}{2m})\times(\frac{dD}{dt} )[/tex]

a=[tex]\frac{1.6\times10^{-19}\times0.01\times0.7 }{2\times1.67\times10^{-27} }[/tex]m/[tex]sec^{2}[/tex]

a=[tex]3.35\times10^{5}[/tex]m/[tex]sec^{2}[/tex]

Direction:Up

a = 0 as r = 0

direction: No acceleration.

a=[tex]3.35\times10^{5}[/tex]m/[tex]sec^{2}[/tex]

Direction: Down

a=[tex]\frac{1.6\times10^{-19}\times0.02\times0.7 }{2\times1.67\times10^{-27} }[/tex]m/[tex]sec^{2}[/tex]

a=[tex]-6.7\times 10^{5}[/tex]m/[tex]sec^{2}[/tex]

Direction:Down.

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If skater has 2000 joules of energy of potential energy at 4m how much energy the skater have at the bottom of the ramp

Answers

The kinetic energy of the skater at the bottom of the ramp is 2000 J.

What is the law of conservation of energy?

The law of conservation of energy states energy can neither be created nor destroyed but can be converted from one form to another.

Mathematically, the formula for conservation of energy mechanical energy is given as;

P.E ( top ) = K.E ( bottom)

where;

P.E ( top ) is the potential energy of the object at the maximum heightK.E ( bottom ) is the kinetic energy of the object at bottom of the ramp.

In the absence of friction, the potential energy of the skater at the maximum height is equal to his kinetic energy at the bottom of the ramp.

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a man traveled 2.2 in to the store in 5.0 minutes and then stayed at the store for 10.0 minutes. he than traveled 6.1 kn to the bank in 12 minutes and stayed in the bank for 5.0 minutes. he than travelled 4.7 km to his home in 7.0 minutes. what was his average speed in units of km/min

Answers

The speed of the man is obtained as 0.54 Km/min.

What is the average speed?

One of the first things that must come to our minds is that fact that speed is a scalar quantity and as such we do not look at the direction of the movement of the object but just the algebraic sum.

We then have that;

Total distance = 2.2 + 6.1 + 4.7 = 13 Km

Total time = 5 + 12 + 7 = 24 min

Note that we do not count the times that were spent in the store without moving

The speed is now; = 13 Km/24 min

= 0.54 Km/min

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find a taylor polynomial of order 3, t3(x) centered at a = 0 for the function f(x) = 9x + e −4x .

Answers

The Taylor polynomial of order 3, t3(x) centered at a = 0 for the function f(x) = 9x + e −4x is  [tex]1 + 5x - 2x^2 + 10.66666x^3[/tex].

To find the Taylor polynomial of order 3, t3(x) centered at a = 0 for the function f(x) = 9x + e −4x, we need to find the function's value, first derivative, second derivative, and third derivative at a = 0, and then plug them into the Taylor series formula.

The function's value at a = 0 is:

f(0) = [tex]1 + 5x - 2x^2 + 10.66666x^3[/tex] = 0 + 1 = 1

The first derivative at a = 0 is:

f'(x) = 9 - [tex]4e^{(-4x)}[/tex]

f'(0) = 9 - [tex]4e^0[/tex] = 9 - 4 = 5

The second derivative at a = 0 is:

f''(x) = [tex]-16e^{(-4x)} + 4^{2x(-1)}[/tex]

f''(0) = [tex]-16e^{(-4(0))} + 4^{2(0)(-1)}[/tex] = -16 + 0 = -16

The third derivative at a = 0 is:

f'''(x) = [tex]-16e^{(-4(0))} + 4^{2(0)(-1)}[/tex]

f'''(0) = 64e^(-4(0)) + 4^3(0)(1) = 64 + 0 = 64

Now we can plug these values into the Taylor series formula:

t3(x) = [tex]f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3[/tex]

t3(x) = 1 + 5x + (-16/2!)[tex]x^2[/tex]+ (64/3!)[tex]x^3[/tex]

= 1 + 5x - 2x^2 + (64/6)[tex]x^3[/tex]

= 1 + 5x - 2x^2 + (64/6)[tex]x^3[/tex]

= 1 + 5x - 2x^2 + 10.66666[tex]x^3[/tex]

So the Taylor polynomial of order 3, t3(x) centered at a = 0 for the function f(x) = 9x + e −4x is:

t3(x) = [tex]1 + 5x - 2x^2 + 10.66666x^3[/tex]

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Physical causes of stress include ______. Check all that apply. A. anger. B. malnutrition. C. intense exercise. D. infection infection. E. grief.

Answers

Physical causes of stress include (B) malnutrition and (C) intense exercise.

As it is reported, malnutrition is a potent stress inducer that raises cortisol levels and has catabolic effects. Additionally, a lack of meals lessens the insulin-dependent anabolic activity of tissue synthesis.

Physical activity can strengthen your bones and muscles, help you maintain a healthy weight, increase your ability to carry out daily tasks, and improve your cognitive health.

Intense exercise can trigger a stress response by placing psychological and physical demands on the body, which can activate the sympathetic-adrenomedullary and hypothalamus-pituitary-adrenal (HPA) axes and cause the release of catabolic and stress hormones, inflammatory cytokines, and microbial molecules.

So the right options among the given are (B) malnutrition and (C) intense exercise.

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why would someone waive their right to a speedy trial?

Answers

Some people may give up their rights out of fear or trepidation. However, you must recognize that using your rights is a kind of self-defense, not a challenge to the police.

What is speedy trial?Furthermore, some people assume that exercising Miranda rights implies guilt.Although the right to a speedy trial is guaranteed by the US Constitution, a defendant may gain from renouncing that right. In many cases, the defense will need more time to prepare their case in order to present the best possible defense to the defendant.It is the act of knowingly giving up a legal right such as a rapid trial, a jury trial, or giving up some rights.

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Mr. Starr pushed a cart full of groceries to his car. After emptying the cart, he pushed it back to the store. He pushed the cart
at a speed of 2 meters per second each way. Which is the best prediction? (1 point)

The cart had the same kinetic energy going each way.

The cart's kinetic energy depends on Mr. Starr's mass.

When it was empty, the cart had less kinetic energy.

When it was full, the cart had less kinetic energy.

Answers

Answer:

The shopping cart has less kinetic energy when it is empty.

Explanation:

When an object of mass [tex]m[/tex] travels at a speed of [tex]v[/tex], the kinetic energy of that object would be [tex](1/2)\, m\, v^{2}[/tex].

In this question, the speed of the shopping cart is fixed ([tex]v = 2\; {\rm m\cdot s^{-1}}[/tex].) Kinetic energy would be proportional to the mass [tex]m[/tex] of the shopping cart (including that of its contents.)

The mass of the shopping cart is lower when it is empty on the way back to the store. Therefore, the kinetic energy of the shopping cart would also be lower than when it was full.

Answer:

(Question) A city gets its electricity from a dam, where water is stored in a reservoir. How does the water provide the city with its power?

(Answer) Potential energy in the water becomes kinetic energy as it moves through turbines, which turn kinetic energy into mechanical energy that spins a generator, which changes mechanical energy into electricity.

(Question) An acorn rolls off a roof and falls to the ground. Which statement best describes the change in energy?

(Answer) The acorn’s potential energy decreases as its kinetic energy increases.

(Question) An airplane carries 320 passengers from Phoenix to Los Angeles flying at an average speed of 490 miles per hour. On the return flight, the plane carries 164 passengers and travels at the same average speed. What happens to the plane’s kinetic energy?

(Answer) On the return flight, the plane has less kinetic energy.

(Question) A racehorse is running at 42 miles per hour, equivalent to 18.8 meters per second. The horse and its jockey have a combined mass of 512 kilograms. How much kinetic energy do they have?

(Answer) 90,480.6 J

(Question) Which object has kinetic energy?

(Answer) balloon rising in the sky

(Question) Mr. Starr pushed a cart full of groceries to his car. After emptying the cart, he pushed it back to the store. He pushed the cart at a speed of 2 meters per second each way. Which is the best prediction?

(Answer) When it was empty, the cart had less kinetic energy.

(Question) A student fires a toy rocket into the sky. When does the rocket have the most potential energy?

(Answer) when the rocket reaches its highest point

(Question) What is the best description of one billiard ball hitting a second billiard ball?

(Answer) Most of the kinetic energy in the first ball is transferred to the second ball.

(Question) A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?

(Answer) 661,068.8 J

(Question) A roller-coaster is at the top of a 62-meter hill. The car and its passengers have a total mass of 1,088 kilograms. By the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). How much kinetic energy does the car have at the bottom of the hill?

(Answer) 592,416 J

(Question) A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?

(Answer) when the swing is pulled back prior to release

(Question) essay

(Answer) good luck

(Question) essay

(Answer) good luck

Explanation:

I just completed this assignment UwU

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