often a vector is specified by a magnitude and a direction; for example, a rope with tension t⃗ exerts a force of magnitude t

Answers

Answer 1

To study vectors it is best to select a coordinate system and manipulate it in that coordinate system and the component of A in x is 0.9396 while in y it is 0.342.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

A vector has magnitude and direction so we can form a vector coordinate system and manipulate each vector in that such that it will be clear to study all vectors.

Given the vector A,

Magnitude |A| = 1 units

The angle of inclination from the x-axis is 20°.

Component of A in the x-axis

|A|cos20° = 1(0.9396) = 0.9396

Component of A in the y-axis

|A|sin20° =1(0.342) = 0.342

Hence "The component of A in x is 0.9396 while in y it is 0.342".

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Given question is incomplete with the missing image attached below;

Often A Vector Is Specified By A Magnitude And A Direction; For Example, A Rope With Tension T Exerts

Related Questions

A skydiver with a mass of 70 kg accelerates to Earth at a rate of 9.8 m/s2 due to gravity. What is the force on the skydiver? Explain how you determined the answer and its units.

Answers

Explanation:

GIVEN DATA

Mass=70kgAcceleration =9.8m/s2RTF=Force

since P(momentum)=Mass×Velocity

SOLUTIONFROM NEWTONS SECOND LAW OF MOTION ,F = △P(change in momentum) t(time)

F = P2 -P1

t

F= Mv2-Mv1

t

F=M( v2-v1) ,(a=v2-v1)

t t

F= m×aF= 70 × 9.8F= 686 N

ANSWER EXPLANATION IN WORDS

That question is related to Newton's second law of motion, the question ask you to find the force it gives you a mass and a acceleration As we know that the SI unit of acceleration is newton per kilogram or metre per second square It is correct to write metre per second square instead of Newton Per kilogram because because all of them are the SI unit of acceleration so that is the answer we get 686 Newton by Force .

What is the quantum number n of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2?

Answers

The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

What is quantum number?

The collection of numbers known as quantum numbers is used to describe an electron's position and energy in an atom. The four categories of quantum numbers are primary, azimuthal, magnetic, and spin quantum numbers.

Given that,

Eₙ = 2h²/mL²,

The equation for the energy of a particle of mass m confined to a one-dimensional box of length L is given by:

[tex]E_n = \frac{n^{2} h^{2}}{8mL^{2}}[/tex],

Equating this equation with the energy given in the question.

i.e. Eₙ = 2h²/mL².

We get,

[tex]\frac{n^{2} h^{2}}{8mL^{2}} = \frac{2h^{2}}{mL^{2}}[/tex]

[tex]\frac{n^{2}}{8} = 2[/tex]

[tex]n = \sqrt{16}[/tex]

n = 4

Therefore,

The quantum number of a particle of mass m confined to a one-dimensional box of length l when its energy is 2 h2/ml2 is 4.

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how many millicoulombs (mc) of charge is stored in a 152 µf capacitor when 150 v is applied to it? 1μf

Answers

About 22.8 millicoulombs of charge has been stored in a capacitor of capacitance 152 µf when a total voltage of 150 v is applied to this capacitor.

What does capacitance mean?

The capacity of a component or circuit to gather and hold energy in the form of an electrical charge is known as capacitance. Devices that store energy include capacitors, which come in a variety of sizes and forms.

What sort of capacitance is that?

When any capacitor is being linked to a battery with a specific voltage, its capacitance can be totally calculated by measuring the charge held on each plate.

What distinguishes a capacitor from a capacitance?

The capacity of this capacitor that is calculated in order to store energy in the form of electric charge is known as the capacitance.

Here we know that we have,

C= 152 uf

V=150v

Q =?

Q= CV

= 152 x10^6 x 150

= 22800 x 10^6

= 22.8 x 10^6

= 22.8 millicoulomb

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Frank wright is a stereo buff who will go to great lengths when making stereo equipment purchases. He believes having the right equipment is important because he wants to impress the people who will see the stereo when they visit his home. If you were the marketing vp for quality electronics, inc. And your market was primarily made up of people just like wright, which influence source would you most likely build into your promotional messages?.

Answers

reference group influences source would most likely build into your promotional message

Promoting something is all that promotional messages are. However, the secret to a successful promotional message is to avoid being overly pushy. What does "salesy" mean? messages that are unclear in terms of their value to a customer Messages that seem to be excessively promotional messages that lack a distinct call to action excessively capitalizing phrases or using buzzwords like "free" As we hinted at previously, several cell carriers discourage the usage of the word "free" and the capitalization of whole words when it comes to text marketing (TODAY, SALE, SIGN UP). The various phone providers may consider such approaches to be spam and limit their use. Your number might consequently be blocked, which would seriously hinder your capacity to converse.

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An ideal heat engine absorbs 94.5 kj of heat and exhausts 78.8 kj of heat in each cycle. what is the efficiency of the engine?

Answers

The efficiency of the engine is 17%

The answers to this exercise do not depend on the engine being of the Carnot design. Any heat engine that intakes energy as heat (from, say, consuming fuel) equal to

[tex]|Q_{H} |=[/tex]=94.5kJ and exhausts (or discards) energy as

heat equal to [tex]|Q_{L} |=[/tex]78.8KJ

will have these values of efficiency ε and network W

(a) Equation 20-12 gives ε=1- [tex]|\frac{Q_{L} }{Q_{H} }|[/tex] =1-0.8338624339 =0.17 =17%

What exactly does a Carnot engine do?

Leonard Carnot proposed the Carnot engine, a theoretical thermodynamic cycle. It calculates the maximum possible efficiency of a heat engine during the process of converting heat into work and, conversely, working between two reservoirs.

Carnot cycle definition

An ideal reversible closed thermodynamic cycle in which the working substance undergoes four successive operations: isothermal expansion to a desired point, adiabatic expansion to a desired point, isothermal compression, and adiabatic compression back to its initial state.If we define the Carnot factor more broadly as the ratio of an active volume to total volume, the condition = 1/2 means that half of the volume is "active."

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Suppose you take trips that covers180km and take 3hours to make your average speed is

Answers

Explanation:

average speed= distance/time

=180÷3

=60 km/h

How frequently should the product owner re-iterate the product vision to the scrum team?

Answers

For a project to be successful, the product owner should invest somewhere between 60 and 100 percent of their time and effort in it.

In many aspects of product development, the scrum product owner assumes leadership. They will eventually need to use their extensive market knowledge to plan and communicate their vision to stakeholders. They will have to put on their developer hats one more time in order to assist the team in achieving its sprint objectives. Depending on the technical and commercial factors of the situation, different levels of frequency are ideal, but generally speaking, one release every four to six iterations would be regarded as the maximum.

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what is the index of refraction of a substance that has a critical angle of 68.4º when submerged in water (n

Answers

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

To find the index of refraction, the given values are:

Critical angle is 68.4°.

What is the refractive index?

The refractive index can be defined as the ratio of the speed of light in the medium to the speed in the vacuum.

The formula of the refractive index is as follows:

Where,

n is the refractive index

c is the velocity of light in a vacuum ( 3 × 108 m/s)

v is the velocity of light in a substance

The vacuum has a refractive index of 1. The refractive index of other materials can be calculated from the formula mentioned. Higher the refractive index, the higher the optical density and slower is the speed of light.

The refractive index of different media can be listed in the table below:

Material            Refractive Index

Air                          1.0003

Water                     1.333

Diamond                2.417

Ice                           1.31

Ethyl Alcohol         1.36

Now, finding the value of refractive index,

As the value of critical angle is given,  θ = 68.4°,

θc = Sin ⁻¹ ([tex]\frac{n2}{n1}[/tex])

Considering the given values, n2 = 1.3333

θc = θ = 68.4°

So, n1 = ( n Water) / ( sin θc)

          = 1.33333 / sin 68.4°

          = 1.43400055

Thus, n1 ca be found as,1.43400055

The refractive index of the substance for the critical angle 68.4° is found as 1.43400055

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a loudspeaker at the origin emits a 130 hz tone on a day when the speed of sound is 340 m/s. the phase difference between two points on the x-axis is 5.2 rad .

Answers

According to the given question distance between these two points is 1.971m.

What do you mean by distance?

The distance can be a literal length as defined by physics or a general estimation based on other variables.  It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.

According to the question:

speed=frequency*wavelength

wavelength = 340/140 =2.428 m

phase difference=2pi× x/lamda

x=5.1*2.428/(2*pi)

x=1.97m

since v= f × wavelength

where v = speed of sound  and f = frequency

therefore wavelength  = v/f  = (340)/140 = (17/7)m

now, since Phase angle = (2×pi/wavelength)×shift

or, shift = phase angle × (wavelength/2×pi) = 5.1 × ((17/7)/2×pi) = 1.971m

Hence, the distance between these two points = 1.971m

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Two objects undergo simple harmonic motion on a
smooth table. Object B has twice the frequency and
twice the amplitude of object A. How does the
angular speed, maximum speed, and maximum
acceleration of object B compare to that of object
A? Object B has:

a. one-half the angular speed, one-fourth the
maximum speed, and one-sixth the maximum
acceleration of object A.
b. twice the angular speed, quadruple the
maximum speed, and six times the maximum
acceleration of object A.
c. twice the angular speed, twice the maximum
speed, and eight times the maximum
acceleration of object A.
d. twice the angular speed, quadruple the
maximum speed, and eight times the maximum
acceleration of object A.

Answers

The acceleration is maximum when the displacement of the object is maximum.

We understand that speed is most when y=zero, displacement is zero, and acceleration is zero, this means that the machine is in equilibrium. therefore, at a factor in simple harmonic motion, the maximum pace can be calculated by the usage of the formulation v=Aω. the rate may be most in easy harmonic movement, while the acceleration is zero.

The pendulum oscillating backward and forward from the suggested role is an example of easy harmonic movement. Bungee leaping is an example of simple harmonic motion. The jumper oscillates up and down in the present process SHM because of the pliancy of the bungee wire.

The maximum displacement of the bob from its implied role. OA or OB is called its amplitude. because the bob is at its lowest position on point O. Its potential power is minimal whilst its kinetic power is maximum.

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Find a unit vector with a negative i component that is orthogonal to both i + j and i + k.

Answers

The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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How do atoms behave in cold and hot temperatures

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In cold:

An object's temperature is a measure of how much its atoms move — the colder an object is, the slower the atoms are.

In heat:Heating a substance makes its atoms and molecules move faster. This happens whether the substance is a solid, a liquid, or a gas.

I need help with this word puzzle too, it’s kinda confusing to me

Answers

The answer for this word puzzle is given below. Question number 14 to 17 are missing.

FIRSTFOUR ( m / s² )THIRDSECONDSPEEDELEVEN ( Net F, when F's acts is opposite directions = 22 - 11 = 11 N )FORCEINERTIAIMBALANCEDACCELERATIONBALANCEDPOSITIVEINCREASENo questionNo questionNo questionNo questionDECELERATIONNEGATIVEMETERVELOCITYTEN ( m / s )NORTH / SOUTH ( Based on 17th question )

All these questions are based on Newton's three laws of motion. The first law states that an object cannot move or stop until an external force is applied. The second law states that acceleration is based on the force applied on the object. The third law states that for every action there is an equal and opposite reaction.

Therefore, the answers for the questions in the word puzzle is mentioned above in order.

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Share an example of a phenotype you or someone you know has (ex: blue eyes). Which side of the family did that phenotype likely originate

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In general, a phenotype is an inherited trait that we can observe.

Phenotypes include things like blood type, eye colour, and hair colour. If you have brown eyes, your eyes will be brown; if you have brown hair, your hair will be brown; or if you have an A blood type phenotypic, your blood type will be A.

Only the blue allele can be passed down from the homozygous blue-eyed parent. Either the blue allele or the brown allele can be inherited from the heterozygous brown-eyed parent. Children with a blue-brown genotype, or those with both the blue and brown alleles, will have brown eyes and a brown-eyed phenotype. Similar to this, children with a blue-blue genotype—two blue alleles—will have blue eyes and a blue-eye phenotype

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4. The diagram shows two forces of 5 N and 8 N acting at 120° to each other. Calculate the resultant of these two forces and state its direction relative to the 5 N force. Illustrate your answer with an appropriate vector diagram.​

Answers

The magnitude of the resultant force is 11.4 N.

What is the resultant force?

The resultant force is the force that has the same effect both in magnitude and in direction as the two or more forces acting at the same time. We know that force is a vector quantity, this implies that both the magnitude and the direction of the force are all important. This is why we have to factor in the direction of the force at all times.

Now, we can see that, it is possible to obtain the resultant force from the parallelogram law of vectors. We can see that;

R = √ P^2 + Q^2 - 2PQ Cos θ

P = 5 N

Q = 8 N

θ =  120°

R = √(5^2 + 8^2 - (2 * 5 * 8) cos 120

R = 11.4 N

The direction of the 5N force is obtained as;

Tan^-1 (8/5)

= 58 degrees

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What’s an example of potential energy? PLEASE HELP ILL CROWN YOU
A
Water behind a dam

B
A dart stuck in a dartboard

C
Plants using photosynthesis

D
A cow chewing grass

Answers

Answer: Its A its the best possible answer

Explanation:

its the best possible answer

Answer:

A. water behind a dam

Explanation:

today we were learning energy then our teacher told as so am sure am ryt

What is the relationship between a boats volume and the amount of mass it can hold

Answers

The relationship between a boats volume and the amount of mass is known as Archimedes' principle

Archimedes' principle states that an object displaces its personal weight in a liquid.

So calculate the weight of the boat from the mass. Calculate the quantity of liquid that has this equal weight. that is the quantity of boat underneath the waterline.

Divide that variety with the aid of the vicinity of the boat (duration instances width). this is the depth the boat sinks to.

what is Archimedes principle in easy words?

Archimedes' principle states that a body immersed in a fluid is subjected to an upwards force identical to the burden of the displaced fluid. that is a primary condition of equilibrium. We take into account that the above force, referred to as pressure of buoyancy, is placed in the centre of the submerged hull that we name centre of buoyancy.

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if a subway train is moving to the left and then comes to a stop, what direction is the acceleration

Answers

The subway train is moving to the left and then comes to a stop, what direction is the acceleration will be towards right and will be positive.

The train comes to a stop, this means that the velocity gradually decreases. Hence, the acceleration must be positive and points towards the right.

velocity and acceleration:

velocity is the charge of alternate inside the position of an object, at the same time as acceleration is the rate of trade of the fee. consider the movement alongside a line. If the velocity and acceleration are in the same route, then the charge constantly will growth in time. inside the meantime, if the speed and acceleration are in contrary instructions, then the rate steadily decreases to 0 speed, reverses route, and now the velocity is in the identical path of the acceleration.

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what celestial bodies stay close to the ecliptic (astrology)

Answers

The Sun, Moon, and planets are the celestial bodies stay close to the ecliptic.

What are called celestial bodies?

Objects in space such as the sun, moon, planets, and stars are known as celestial bodies or heavenly bodies. They are typically very far away from us and are a part of the vast universe we inhabit. The heavenly bodies are primarily seven celestial bodies.

Celestial bodies in our solar system :

The Sun, our star, and just about everything gravitationally connected to it, including the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, dwarf planets like Pluto, dozens of moons, and millions of asteroids, comets, and meteoroids, compose our solar system.

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How long will it take for 10% of the u−238 atoms in a sample of u−238 to decay?

Answers

it will take around 1,448 billion years for U-238 atoms to decay.

What are radioactive materials?

When a radioactive nucleus spontaneously releases excess energy, that energy is referred to as ionizing radiation. radiation from ions may manifest as alpha or beta particles. either gamma rays or particles. The action of Radioactive means to emit radiation.

U-238 has a radioactive half-life of 4.5 billion years, which is independent of the original concentration.

c₀ - initial concentration of U-238.

c - concentration of U-238 remaining at the time.

t = 4,5·10⁹ y.

First, calculate the radioactive decay rate constant λ:

λ = 0,693 ÷ t = 0,693 ÷ 4,5·10⁹ y = 1,54·10⁻¹⁰ 1/y.

ln(c/c₀) = -λ·t₁.

ln(0,8/1) = -1,54·10⁻¹⁰ 1/y · t₁.

t₁ = 1,448·10⁹ y.

Therefore, it will take around 1,448 billion years for U-238 atoms to decay.

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for the same percentage error in each of the three quantities, mass, diameter, and length, which would contribute the most to the error in the density

Answers

For the same percentage error in each of the three quantities, mass, diameter, and length, mass would contribute the most to the error in the density.

A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol, however Latin letter D may also be used. The formula for density is mass divided by volume:

ρ = m / v

The error's absolute value is multiplied by 100%, divided by the accepted value, and then converted to a percent.

Since, the mass is directly related to density so the mass would contribute more to the error in density out of the three quantities, mass, diameter, and length.

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At the surface of jupiter’s moon io, the acceleration due to gravity is g = 1.81 m>s 2 . a watermelon weighs 44.0 n at the surface of the earth. (a) what is the watermelon’s mass on the earth’s surface? (b) what would be its mass and weight on the surface of io?

Answers

Complete question

At the surface of jupiter’s moon io, the acceleration due to gravity is g = 1.81 m>s 2 . a watermelon weighs 44.0 n at the surface of the earth. (a) what is the watermelon’s mass on the earth’s surface? (b) what would be its mass and weight on the surface of ?

Gravitational acceleration at the surface of Jupiter's moon Io is g = 1.81 [tex]\frac{m}{s^{2} }[/tex]. On the surface of the Earth, a watermelon weighs 44.0 N. The watermelon has a mass of 4.485 kg on the surface of Earth thus, it would have a mass of 4.485 kg and a weight of 8.117 N on the surface of Io.

Given data:

F = mg

Mass on the earth's surface

[tex]m = \frac{F}{g}[/tex]

[tex]m = \frac{44}{9.81}[/tex]

m = 4.485 kg

Mass will not vary from earth to moon(Io).

m = 4.485 kg

F = ma

Weight on the moon(Io's) surface

F = 4.485 × 1.81

F = 8.117 N

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A ball is thrown with an initial speed of 20 m/s at an angle of 60° to the ground. If air resistance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground?.

Answers

The speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

The initial speed of the ball = 20 m/s

Angle to the at which the ball is thrown = 60°

Gravity = 9.81 m/s²

Resistance of the air = 0.

The maximum height reached by the ball above the ground is,

[tex]H = \frac{u ^{2 }sin ^{2}θ} {2g}[/tex]

[tex]H = \frac{20 ^{2 }sin ^{2}60°} {2 \times 9.81}[/tex]

[tex]H = \frac{ 20 \times 20 \times \sqrt{3} }{2 \times 9.81 \times 2}[/tex]

[tex] = 17.6 \: m[/tex]

Thus, the maximum height reached by the ball above the ground is 17.6 m.

The flight time of the ball is,

[tex]t = \frac{2usinθ}{g} [/tex]

[tex]t = \frac{2 \times 20 \times sin60°}{9.81} [/tex]

[tex]t = \frac{2 \times 20 \times \sqrt{3} }{9.81 \times 2} [/tex]

[tex]t = 3.5 \: s[/tex]

Thus, the flight time of the ball is 3.5 s.

The speed of the ball when it reaches it reaches the maximum height from the ground is,

[tex]Speed = \frac{ Distance }{Time}[/tex]

[tex]Speed = \frac{17.6}{3.5} [/tex]

[tex]Speed = 5.02 \: m/s[/tex]

Therefore, the speed of the ball when it reaches its maximum height from the ground is 5.02 m/s.

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If no heat is transferred during the following compression of a gas, what is the sign of w, and does internal energy of the enclosed gas increase, decrease, or remain constant?.

Answers

Answer: increase

Explanation:

increase of  compression make it hot

procedure C, describe how you thought the time to drop the pen from 1.0 meters high would
compare to dropping from 50.0 meters? Do you think it would take 50 times longer to drop from
50 meters? Explain.

Answers

1.428 s is the calculated time.

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

So here is the most straightforward formula for this:

+(1/2) *(9.81 m/s^ (2)) *t^ (2) = +10 m.

The result is that t = √ (20 m/ (9.81 m/s (2)))

=√ (2.039 s2)

distances relative to the earthly acceleration do not take any initial distance or initial speed if you set the origin of your referential on the origin of your movement and assume that your ball has no initial speed as it is. The most amazing and unexpected truth about falling things is that, in a given location, all items fall toward the center of the Earth with the same constant acceleration, regardless of their mass, if air resistance and friction are low.

vertical (and only) axis of a drawing must be pointed downward.

So here is the most straightforward formula for this:

+(1/2)*(9.81 m/s^(2))*t^(2) = +10 m.

The result is that t = √ (20 m/(9.81 m/s(2)))

= √(2.039 s2)

=1.428 s.

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a house that is losing heat at a rate of 35,000 kj/h when the outside temperature drops to 4°c is to be heated by electric resistance heaters. if the house is to be maintained at 25°c at all times, determine the re

Answers

Q(l) = 35,000 kj/h

T° = 4° c = 277k

T(H) = 298 k

given that house is to be maintained at 25° c at all times

hence internal energy is zero. du=0

now, using first law of thermodyanamics

dq= du+dw

dq= dw ( because du = 0)

hence, heat lost by house is equal to the work input for system

Q(l)= w (input)

w (input) =35,000 kj/hr

now, coefficient of performance for reversible heat pump = cop ( rev,hp)

cop ( rev,hp) = = 14.9

cop ( rev,hp) = Q(l)/w (input)

14.9 = 35,000/ (win)rev

(win)rev = 2349 kj/h ( reversible work input)

Irreversibility of process = I

I = (win) - (win)rev

I = 35000- 2349

I = 32651 KJ/hr

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a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.

Answers

The average velocity will be 1.30 x 10⁻² m/ s.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. As a vector quantity, the velocity requires both the magnitude and the direction.

Given that a helicopter blade spins at exactly 80 revolutions per minute. Its tip is 4.00 meters from the rotational axis.

Use the formula to calculate the linear velocity.

V= d/t

V= velocity

d= distance

t= time

Here d will be the circumference of the blade

d= 2πr

We have:-

80 rev = 1min

1min/ 80= 60s/80

The average velocity will be calculated as below:-

Vavg= 2π( 10m ) / 80 x 60

Vavg= 0.01308 m / s

Vavg = 1.30 x 10⁻² m / s

Therefore, the average velocity will be 1.30 x 10⁻² m/ s.

The complete question is given below:-

A helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation. What will be the average speed of the helicopter blade?

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a) find the velocity, in feet per second, at time : (b) find the velocity (in ft/sec) of the particle at time . (c) find all values of for which the particle is at rest. (if there are no such values, enter none . if there are more than one value, list them separated by commas.)

Answers

The velocity of a particle at time t is 4t³- 7, at time t = 3 is 101 ft/sec, and at rest is ∛7/4 sec.

The position of a particle at time t is

s(t) = t⁴ - 7t + 22, where t > 0

(A)  Velocity at time t is

V(t) = s'(t)

Or, V(t) = 4t³ - 7 × 1 + 0

Or, V(t) = 4t³- 7

Hence, the velocity at time t is 4t³- 7.

B) Velocity ar time t = 3 is

V(3) = 4(3)³- 7

Or, V(3) = 101 ft/sec

Hence, the velocity at time t = 3 is 101 ft/sec.

(C) When particle is at rest, V(t) = 0

Then, 4t³ - 7 = 0

Or, t³ = 7/4

Or, t = ∛7/4 sec

Therefore, the velocity at rest is ∛7/4 sec.

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(15 points) a 4000-w electric resistance heater is heating water in an insulated, constant diameter tube. if the water enters the heater steadily at 315 k and leaves at 360 k, determine the mass flow rate of water in kg/s.

Answers

The mass flow rate of water is 0.087 Kg/s.

Contact tube diameter means no pressure head drop.

P=C heating done at P=C.

MC(T₁ - T₂) = Q = W

M × 1.015 (360-315) = 4000

M = 4000 / 1.015 × [tex]10^{3}[/tex] × 45

M = 0.087 Kg/s

Pressure is defined due to the fact the pressure of all the gasoline particle/wall collisions divided thru the vicinity of the wall: All gases exert strain ; it's far one of the important measurable portions of this phase of depend.

From the weather to air tour, strain performs a dramatic position in our lives. It plays especially vital roles at some point of chemical reactions. through manipulating stress, chemists can pressure chemical reactions to occur and the transitions among solids, beverages, and gases to boost up.

The primary unit of pressure is the pascal, described because the stress exerted with the useful resource of a pressure of one newton perpendicularly upon a place of one square meter.

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a baseball player is dashing toward home plate with a speed of 4.7 m/s when she decides to hit the dirt. she slides for 1.5 s , just reaching the plate as she stops (safe, of course).

Answers

She decides to hit the dirt in -2.64 m/s in First equation and  2.59m in second equation.

Using 1st equation of motion,

V = u + at

-3.7 = 0 + a x 1.4

Acceleration,

a = - 2.64 m/s^2

Using 2nd equation of motion,

D = ut + 0.5 at^2

D = (3.7 x 1.4) - (0.5 x 2.64 x 1.4^2)

= 2.59 m

How is speed measured in baseball?

Sprint Speed, a Stat cast metric that was first used in the 2017 season, counts the number of feet per second a player covers in his quickest one-second span.

Currently, "qualifying runs" from these two groups are included in the metric:

• Runs from second base following an extra-base hit but eliminating runs of two bases or more on non-homers.

• Runs scored from first base to home on "tipped" or "weakly hit" balls.

A player's seasonal average is calculated using the best third of these runs on average.

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