an automobile accelerates from 55.0 km/h to 85.0 km/h in 8.70 s. what is its acceleration in m/s2? recall 1 km

When the mirror produces the magnification of 3.81 when a person’s face is 18.0 cm away, The focal length of a mirror is 0.24 m

An optical system's focal length serves as a gauge for how strongly it diverges or converges light. It is the opposite of the system's optical power. A system is said to be somewhat divergent when the focal length is negative, slightly convergent when the focal length is positive.

Calculations:

Given:

Magnification, m = 3.81

distance between face and lens, d = 18 cm

We know that,

[tex]m=\frac{-d_{i} }{d_{o} }[/tex]

[tex]d_{i} = distance\;between\;object\;and\;lens[/tex]

[tex]d_{0} = distance\;between\;image\;and\;lens[/tex]

[tex]d_{i}=-m \times d_{o}[/tex]

Substitute the known values in the above reaction,

[tex]d_{i}=-3.81 \times 0.18[/tex]

[tex]d_{i}=-0.69\;m[/tex]

We know that, Focal length,

[tex]f=\frac{1}{\frac{1}{d_{0} } + \frac{1}{d_{i} } }[/tex]

Substitute the known values in the above equation,

[tex]f=\frac{1}{\frac{1}{0.18 } + \frac{1}{-0.69 } }[/tex]

By solving the above equation, We get,

[tex]f=0.24\;m[/tex]

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The final speed of the bike is 5 m/s.

Speed is  measured as the ratio of distance to the time in which the distance was covered.

To calculate the final velocity, we use the formula below.

Formula:

v = u+at................ Equation 1

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the final speed of the bike is 5 m/s.

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The largest area that can be seen through a microscope eyepiece or a scientific camera is known as the field of vision (FOV) of a microscope, and it is typically expressed as a diameter measurement.

The size of the visible environment at any particular time is known as the field of vision (FOV). It is a solid angle through which a detector is sensitive to electromagnetic radiation in the case of optical instruments or sensors.

The term "field of view" is normally only used in the context of human and primate vision to refer to a restriction of what is visible by external apparatus, such as when wearing spectacles. The definition allows for eye movements, but when interpreted in this way, they do not alter the field of vision.

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Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A. In other words, forces result from interactions

Newton’s Third Law: Action & Reaction

Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.

His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A. In other words, forces result from interactions.

Examples of action and reaction involving aerodynamics:

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HOPE THIS HELPS <3

Newton's Third law of motion states :

" Every action has an equal and opposite reaction "

i.e If a force is applied by an object A on another object B then that object B also exerts a foce on object A, that is of same magnitude and opposite direction to the force applied by object A.

Ex - A book on a table exerts gravitational force on the table and table exerts back a normal force on the book.

If you approach a light beacon while traveling at one half the speed of light (0.5c) you will measure the speed of light from the beacon to be 0.5 c.

Anti-collision lights, sometimes referred to as beacon lights or strobe lights, are a series of lights that must be installed on every aircraft in order to increase visibility to other aircraft and prevent collisions by alerting other pilots. Light-emitting diodes have lately replaced the incandescent bulbs that were previously used.

Beacon lights are most frequently made of red, amber or yellow, blue, green, and white. Red is used to convey stern warnings about hazards or danger and is most frequently seen on vehicles operated by law enforcement or fire departments.

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μ1 = 0.97 and μ2 = 1.93 (viscosities of fluid below and above plate respectively.)

We have to find the viscosities above and below the plate

Let us take the viscosities above the plate = μ1 ,and below the plate =μ2

Now the force applied due to top layer of the fluid

Т1 = μ (Δu / Δv )

Here Δu and Δv are the velocity of plate and gap between the plate and upper surface respectively.

Where Δu= 0.3

          Δv = 0.03

So,

   T1 = μ( 0.3/0.03)

        =10μ

Now we have to find the force on plate due to bottom of the fluid

T2 = μ2 ×( Δu / Δv)

T2 = μ2 × (0.3/0.03)

T2= 10μ2

Total force per unit is = T1 + T2

i.e., the sum of two  viscous shear .

F/ A = T1 + T2

It is given that sum of two viscous sheer is 29N.

So

T1 + T2 = 29

10μ1 + 10 μ2 = 29

10(μ1 + μ2) = 29

μ1 + μ2 = 2.9  

μ2= 2μ1

Hence we get

μ1 + 2μ2 =2.9

3μ1=2.9

μ1 = 2.9/3

    0.9667≈ 0.967

 μ2 = 2μ1

       =  2 × 0.9667

       =1.9333 ≈1.93

Therefore the viscosities above and below the plate due to the top layer of the fluid are 0.967 and 1.93 respectively.

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The ph of water is 7.27 and the solution will be neutral.

By the formula:

Kw= [tex][H^{+} ][OH^{-} ][/tex]

Kw= 0.29 x 10^-14

PKw= PH+POH

PKw =14.53

At neutrality, [tex][H^{+} ]=[OH^{-} ][/tex] and

PH=POH

2PH=14.53

PH=7.27

Thus, the pH will be 7.27 and the solution will be neutral.

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The type of line is used to indicate that a particular surface or surface area is Section lines. Section lines is used to indicate that a particular surface or surface area.

A solid object's surface area is a measurement of the total area that the surface of the object takes up. The definition of arc length for one-dimensional curves and the definition of surface area for polyhedral (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces. A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere. This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.

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Answer:

0.5=answer

us liquid quarts = millinery

1 ml is 0.00105669

Answer:

0.000439938

Explanation:

divide the 0.50 value by 1137

A. The acceleration of the train is –0.68 m/s²

B. The stopping distance is 660 m

This is defined as the rate of change of velocity which time. It is expressed as

a = (v – u) / t

Where

a = (v – u) / t

a = (0 – 30) / 44

a = –0.68 m/s²

s = (v + u)t / 2

s = [(0 + 30) × 44]/ 2

s = (30 × 44) / 2

s = 1320 / 2

s = 660 m

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The security guard make the trip of 120 m of distance in a time of 250 s with a speed of: 0.48 m/s

The formula and procedure we will use to solve this exercise is:

v = x /t

Where:

Information about the problem:

Applying the velocity formula we have that:

v = x /t

v = 120 m /250 s

v = 0.48 m/s

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The resultant vector is 60.2 meter in a direction 48.6° North of west.

Resultant vectors are the product of the addition of two or more vectors.

The resultant vector is obtained by vector addition methods such as:

Considering the vector addition problem given:

Harry travels 40 meters east and then 45 meters south to catch the snitch in a quidditch match. At the same time, Voldemort who was 40 meters away, came racing 30 meters west towards Harry, then he went south of west at 25 degrees crashing into harry.

The resultant vector of both Harry and Voldemort are the same since the crashed into each other.

Using Harry's movement, the motion forms a right angle triangle of sides 40 m and 45 m

Using Pythagoras' rule:

R = √(40² + 45²)

R = 60.2 meter

α = tan⁻¹(40/45)

α = 41.6

θ = 90 - 41.6

θ = 48.6°

Therefore, the resultant vector is 60.2 meter in a direction 48.6° North of west.

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The statements are true that radio frequency signals are also called electromagnetic signals and optical signals are based upon photons and not electromagnetic waves, that's why optical signals are not part of the electromagnetic spectrum.

The complete spread of electromagnetic radiation by wavelength or frequency. Although all electromagnetic waves have a wide range of frequencies, wavelengths, and photon energies, they all move at the speed of light in a vacuum.

The range of all electromagnetic radiation is represented by the electromagnetic spectrum, which also includes numerous subranges, often known as parts, such as visible light and ultraviolet radiation. The various parts have different names depending on variations in the emission, transmission, and absorption of the associated waves as well as on the many practical uses for which they are put to use.

All radio waves (such as commercial radio and television, microwaves, and radar), infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays are all included in the entire electromagnetic spectrum, which ranges in frequency from the lowest to the highest (longest to shortest wavelength). Spectroscopy may make use of almost all electromagnetic radiation's frequencies and wavelengths.

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The plant efficiency will be 75%.

We have a engineer in a Electric - Generation Station.

We have to determine the maximum efficiency plant will ever achieve.

The maximum efficiency the plant will achieve is defined as -

η(max) = 1 -  [tex]$\frac{T_{min} }{T_{max} }[/tex]

Now -

T(minimum) = Temperature of Cooling water = 300 K

T(maximum) = Temperature of boiler = 1200 K

Therefore -

The maximum efficiency will be -

η(max) = 1 - [tex]\frac{300}{1200}[/tex]

η(max) = 1 - [tex]\frac{1}{4}[/tex]

η(max) = 3/4

Percentage efficiency = [tex]\frac{3}{4} \times 100\\[/tex] = 3 x 25 = 75%

Hence, the plant efficiency will be 75%.

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[ The given question is incomplete. The complete question is given below -

You are an engineer in an electric-generation station. You know that the flames in the boiler reach a temperature of 1200 K and that cooling water at 300 K is available from a nearby river. What is the maximum efficiency your plant will ever achieve? ]

Any substance that possesses mass and volume is considered to be matter. In general, atoms and anything composed of them are considered to be "matter."

Energy is the power to effect change or carry out work.

The connection between energy and matter is determined by the speed of light, per the theory of relativity. E = M x C^2, where E is energy, M is mass, and C is the speed of light, describes how matter and energy are related.

Matter and Energy - How are they inter-related?

The variation in a body's mass is inversely proportional to the square of the speed of light and directly correlated with the amount of energy released during the conversion process. An energy conversion process can be carried out by a system using this kind of transformations, in which some of the body's intrinsic energy is converted into thermal energy or radiant light. Also implied by this process is a loss of mass. At the atomic level, the shift of mass is significant because it demonstrates that matter is not an immutable property of the body and that it may, in fact, "disappear," releasing energy to the outside.

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the bus traveled from all the way back to  in 0.15 hrs then

is the bus's displacement-

Displacement of bus is 3 miles.

Given that

To find

So according the question

We have

                       u = 30 mile/hour.

                      t₁ = 0.1 hour.

                      t₂ = 0.15 hour.

Now, We have to find the total distance travelled by bus

We know that,

         [tex]velocity = \frac{distance}{time}[/tex]

So,

             [tex]u = \frac{distance}{t_1}[/tex]

              [tex]distance d = {u}\times {t_1}[/tex]

              d = 30 × 0.1

              d = 3 miles

The total distance from oprfhs to phs is 3 miles.

This bus firstly travels from oprfhs to phs and come back from phs to oprfhs so the distance travelled by bus will be same i.e 3 miles.

Now, we can say that when bus traveled from phs all the way back to oprfhs in 0.15 hrs then the displacement of the bus is 3 miles.

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Answer:

Let x = A cos ω t      when ω t = 0, x = A = .1 m

x = .1 cos ω t

cos ω t = .06 / .1 = .6       when x = .06

ω t = 53.1 deg        at a displacement of .06

v = -ω A sin ω t      speed of particle

ω = (k / m)^1/2 = (800/2)^1/2 = 20

v = 20/s * .1 m sin 53.1 = 1.60 m/s

The gravitational acceleration close to the surface of a planet then a mass of 3m will be

Gravitational force is directly related to the mass of a body.

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Time taken by the woman if she walks in the same direction the sidewalk is moving is 13 seconds and for the opposite direction, it is 90 seconds.

The ratio of the object's travel distance over a specific period of time is known as its velocity. The magnitude and direction are both necessary for the velocity because it is a vector quantity.

Vw=Velocity of sidewalk = 1.2 m/s

Vs=Velocity of woman = 1.6 m/s

Distance to travel = 36 m

Time = Distance / Speed

If the woman goes in the same direction as the sidewalk, it will take her 13 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 + 1.2 ) ]

t = 12.857 or 13 seconds

If the woman goes against the flow of the sidewalk, it will take her 90 seconds.

S = ( Vw + Vs ) = t

t = [ 36 / ( 1.6 - 1.2 ) ]

t = 90 seconds

Hence, the time for the same direction is 13 seconds, and for the opposite direction 90 seconds.

The complete question is given below:-

A "moving sidewalk" in an airport terminal building moves at a speed of 1.2 m/s and is of the length of 36.0 m. A woman steps on at one end and walks at a speed of 1.6 m/s relatives to the moving sidewalk. A. How much time does she require to walk from one end to the other if she walks in the same direction the sidewalk is moving?

B. How much time does she require to walk from one end to the other if she walks opposite the direction the sidewalk is moving? Express your answer using two significant figures.

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The tuning fork fallen 3.52m away, using doppler effect formula.

The Doppler effect, also known as the Doppler shift, is a term used to explain changes in frequency caused by moving sources of sound or light with regard to an observer. As the source gets closer to the observer, the waves it is emitting become compressed and have a greater frequency.

The mathematical notation of  doppler effect is as follows:

[tex]f_{0}= \frac{v+v_{0} }{v+v_{s} } f_{s}[/tex]

Plugging in the values we get:

[tex]\frac{400}{440} = \frac{345}{345+v_{fork} }[/tex]

400 (345+[tex]v_{fork}[/tex]) = 440(345)

[tex]v_{fork}[/tex] = 34.5m/[tex]s^{2}[/tex]

For distance,

[tex]\frac{v_{fork} *2}{19.6}[/tex] = [tex]\frac{34.5*2}{19.6}[/tex]

distance = 3.52meters.

Therefore, the tuning fork fallen 3.52m away.

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Answer:

yes

Explanation:

because you have to eat so that you can have strength of swimming again

The position function s(t)m = 0.067t^3 + 2

Given that acceleration function a(t) = dv/dt = 0.4t

Then integrating both the side with respect to t, we get

v(t) = 0.2t^2 + C

Then we have that v(0) = 0 so, C = 0

Thus, velocity function v(t) = ds/dt = 0.2t^2

Again, integrating both sides with respect to t, we have

s(t) = 0.067t^3 +D

Given that s(0)= 2, we get D = 2

Thus, the required position function s(t)m = 0.067t^3 + 2

Based on arrival time variations as a function of source-receiver offset for a few reflection events in the gather, velocity functions are computed for selected CMP gathers.

These are the three equations:

v = u + at.

S = ut + 12at2

v2 = u2 + 2as.

The rate of change in position is known as velocity. The displacement of an object is the change in position, or the smallest distance between its initial location and its final position in a given direction.

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The speed of the train after 15 seconds will be 6 m/s.

As the train is moving with constant acceleration, we have to use one of the equations of motion to calculate the final velocity of the train.

The equations of motion are:

S = ut + 1/2at^2  ..........(i)

v^2 - u^2 = 2as  ...........(ii)

V = u + at  .....................(iii)

Using equation (iii) v = u + at

u = 0 m/s

a = 0.4 m/s^2

t = 15 seconds

v = 0 + 0.4(15)

v = 6 m/s

Hence, The speed of the train after 15 seconds will be 6 m/s.

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The answer is "C" i.e No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal.

What is a matrix  ?

A matrix, sometimes known as matrices, is a rectangular array or table of characters, numbers, or expressions that are arranged in rows and columns to represent a mathematical object or a characteristic of such an entity.

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Question :

5.3.24 A is a 3times3 matrix with two eigenvalues. Each eigenspace is​ one-dimensional. Is A​ diagonalizable? Why? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. No. A matrix with 3 columns must have nothing unique eigenvalues in order to be diagonalizable. B. Yes. As long as the collection of eigenvectors spans set of real numbers Rcubed​, A is diagonalizable. C. No. The sum of the dimensions of the eigenspaces equals nothing and the matrix has 3 columns. The sum of the dimensions of the eigenspace and the number of columns must be equal. D. Yes. One of the eigenspaces would have nothing unique eigenvectors. Since the eigenvector for the third eigenvalue would also be​ unique, A must be diagonalizable.

The distance covered by man is 7 km and displacement will be 5 km.

Distance is defined as the total path covered between two points. It is a scalar quantity.

Displacement is defined as the shortest path between two points. It is a vector quantity.

Distance is either always greater or equal to displacement. The distance can never be smaller than displacement.

According to the question, a person drives 6 km in the car, and he comes back 1 km to get some food means the distance traveled by him is 7 km.

However, the distance travelled will only be 5 kilometers if he travels straight to Burger King. Displacement is, after all, the shortest route between two places.

Hence, the distance will be 7 km and displacement will be 5 km respectively.

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The density of the liquid id 1.73g/ml

we know that density = mass/volume

so in this question mass = 34.719g and volume= 20 ml so density =1.73g/ml

A pure substance's mass concentration in numbers is equal to its density. Density varies greatly between different types of materials and may be significant in terms of packaging, purity, and buoyancy. Osmium and iridium are the known densest elements in conditions of normal temperature and pressure.

To make density comparisons between different systems of units easier, it is occasionally replaced by the dimensionless quantity "relative density" or "specific gravity," which is the ratio of the density of the material to that of a standard material, usually water.

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The correct answer is Electrical charges in motion produce a magnetic field.

Given that an electrical current is made up of electrons travelling along a wire and that all electrons have a negative charge, all electrical currents produce magnetic fields. Due to their continual mobility, atoms' electrons also have magnetic fields. This indicates that electron mobility is what brought about the problem.

Every substance is composed of atoms, and each atom has an electron that is capable of carrying an electric charge.

The atoms are considered to be paramagnetic, which implies that they attract magnets, if these electrons are unpaired. The substance will therefore be referred to as magnetic.

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With the help of the concept of First Law of Thermodynamics , the work done by the gas is 34650 joules, the change in internal energy of the gas is 80440 joules and it will not matter whether or not gas is ideal.

The First law of thermodynamics states that energy can neither be created nor be destroyed, but it can be transferred from one form to another. The First law of thermodynamics states that heat is a form of energy and all the processes follow the principle of conservation of energy. According to first law the internal energy of a system is equal to the difference of the net heat supplied to the system and the net work done by the system,

ΔU=ΔQ-ΔW ,where,

ΔU is the change in internal energy of the system

ΔQ is the heat supplied to the system

ΔW is the net work done by the system

In the question we have been given a gas which expands from initial volume Vi = 0.110 [tex]m^3[/tex]

to final volume of Vf = 0.320 [tex]m^3[/tex],

the total heat supplied in the process is, ΔQ = 1.15×10^5 J.

All the process takes place at a constant pressure P = 1.65×10^5 Pa.(isobaric process)

1) The net work done by the gas for an isobaric process is given by,

ΔW = P(Vf - Vi)

ΔW = (1.65×10^5)(0.320 - 0.110)

ΔW = 34650 J

2)The change in internal energy of the gas is given by,

ΔU = ΔQ - ΔW

ΔU = 1.15×10^5 - 34650

ΔU = 80440 J

3) According to the first law, for an isobaric process the work done by an ideal gas or a real gas is equal under same conditions, hence, it does not matter whether the gas is ideal or real. The first law is applicable for all kind of gases

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The energy that is transferred in this time is E = 1.365 J.

To calculate Charge using formula,

Q = I x t

Q = 0.13A x 35 s

Q = 4.55 C

To calculate energy transferred,

E = Q x V

where,

Q is charge

V is potential difference

So by given values,

E = 4.55  x 0.30

E = 1.365 J

In order to perform work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is a quantitative property. Energy is a conserved resource; according to the law of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

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Answer:

The height of a column of sae 30 oil required to give the same pressure as 700 mm hg is 10.43 m

Explanation:

First convert the pressure from mmHg to Kpa.

Given that;

1 mHg = 133.322368 Pa

700 mmHg = 93.325679 KPa

Afterwards relate it to the pressure of SAE 30 oil

Note the density of SAE 30 oil is 912kg/m-3

γSAE 30 * h = 93325.6579 Pa

ρSAE 30 * g* h = 93325.6579 Pa

h = 93325.6579 Pa/912kg/m-3 *9.81 ms-2

h =10.43 m

This pressure is then equated with the pressure of sae 30 oil column. It is important to note that the difference in the densities of liquid and difference in the liquid column height all have the same static pressure.

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