a body of mass m rests on a horizontal plane with the stattic and kinetic fricion coefficient both being euqal to u

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? ]

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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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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The definition that best describes the given statement is given below:

Dual rail electricity supply includes independent tracks, P C B traces that are used to offset the voltage sags between different circuits, avoiding overloading of any circuit.

A printed circuit board, or PCB, is used to mechanically support and electrically connect electronic components using conductive pathways, tracks or signal traces etched from copper sheets laminated onto a non-conductive substrate.

Practically all inverters use semiconductors to deliver a controlled power output. If the source does have an ac input, then an input voltage is rectified.

Therefore, it's the right answer.

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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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Complete Question is

A sound wave with intensity

2.0×10−3Wm2

is perceived to be modestly loud. Your eardrum is 5.9 mm in diameter. How much energy will be transferred to your eardrum while listening to this sound for 1 minute? Express answer in Joules.

The energy transferred to the human ear per minute will be : 2.909×10⁻³J.

W=Pt

  =I*A*t

  =1.9×10⁽⁻³⁾×π×(5.7×10⁽⁻³⁾)²/4×60

  =2.909×10⁻³J

the amount of power that is transported beyond a given place of the medium in keeping with unit of time is referred to as the intensity of the sound wave. The extra the amplitude of vibrations of the particles of the medium, the extra the charge at which electricity is transported through it, and the extra severe that the sound wave is.

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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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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 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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The value of frictional force is 45.6 N

The amount of resistance a steel box experiences when traveling over a steel surface

μ = 0.80

the frictional force is a result

f = μ N

= 0.80[tex]\times[/tex] 57

= 45.6 N

The force that prevents motion when the surfaces of two objects come into contact is known as friction. Friction lessens a machine's mechanical advantage, or, to put it another way, friction decreases the output-to-input ratio.

A car spends one-fourth of its energy-reducing friction. However, friction in the clutch and the tires also contribute to the vehicle's ability to maintain its position on the road.

One of the most important phenomena in the physical universe is friction, which affects everything from machinery to molecular structures to matches.

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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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An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.

The electric charge particles that make up the electrostatic force behave as both an attracting and a repulsive force. It is additionally called Columb's force. Charles-Augustin de Coulomb, a French scientist, would be honored by having the Columb attraction bear his name. However, electrostatic force is one of the four fundamental forces of nature. The forces add up to zero.

F=kq2/d2 is horizontally oriented.

Straight down, the gravitational force is mg, and the thread's tension is T.

The horizontal tension balances the electrostatic field, whereas the vertical tension balances gravity.

An isosceles triangle with two sides of 100 cm and one of 20 cm is formed by the threads and the balls.

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Kinematics is referred to as the measurement of kinetic energy.

This is referred to as a branch of mechanics which is involved in how objects move in an area and is usually done with the use of different methods such as the use of words, diagrams etc. This is used in the study of the motion without any reference to the force which acts on the body.

On the other hand, kinetic energy is referred to as the energy which is possessed by virtue of its motion while potential energy is the energy possessed by a body by virtue of its position.

The unit of Kinetic energy is Joules and kinematics uses different parameters in the determination of its value such as velocity, acceleration which indicates motion to various extent which is therefore the reason why kinematics was chosen as the most appropriate choice.

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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

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 magnitude of the force on the 2 micro coulomb charge is 16.22mN.

Force on 2 micro coulombs by 1 micro coulomb is given as

F₁ = k · 1 × 2 × 10⁻¹²/r²

Or, F₁ = 9 × 10⁹ × 2 × 10⁻¹² /2²

Or, F₁ = 4.5 mN

Force on 2 micro coulombs by 3 micro coulomb is given as

F₂ = k · 3 × 2 × 10⁻¹²/r²

Or, F₂ = 9 × 10⁹ × 6 × 10⁻¹² /2²

Or, F₂ = 13.5 mN

As charges are placed on equilateral triangles, it means both forces will be 60 degrees separated from each other.

So, the resultant magnitude is given by

F = √F₁² + F₂² + 2F₁F₂cos60°

or F = 16.22 mN

Therefore, the magnitude of the force on the 2 micro coulomb charge is 16.22 mN.

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The average force on the bumper is 1821.455 Newtons.

                     [tex]\begin{aligned}\\\text{kinetic energy} &= \small \frac{1}{2}mv^2\\\\&=\small \frac{1050\,kg\times (0.833\,m/s)^2}{2}\\\\&=\small 364.291\,kg\,m^2/s^2\end{aligned}[/tex]

                     [tex]\begin{aligned}\\\text{work on the car} &= \small Fs\\\\&=\small F\times 0.200\,m\\\\&=\small 0.200F\, m\end{aligned}[/tex]

                               [tex]\begin{aligned}\\\small 0.200F \,m &=\small 364.291\,kg\,m^2/s^2\\\\\small F &=\small 1821.455\, N\end{aligned}[/tex]

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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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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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Level of measurement of the data is the average (mean) of the is: Ordinal scales.

A categorization that specifies the type of information included in the values assigned to variables is called level of measurement or scale of measure. The most well-known categorization was created by psychologist Stanley Smith Stevens and included four levels or scales of measurement: nominal, ordinal, interval, and ratio.

You may find out how accurately variables are recorded using levels of measurement, also known as scales of measurement. A variable in scientific study is something that can have various values across your data collection (e.g., height or test scores).

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The velocity of trash can of mass 6.90 kg should be almost equal to 500 times the velocity of truck in order to have same momentum.

We have a trash can of mass 6.90 kg and a truck.

We have to determine at what speed a 6.90 kg trash can have the same momentum as the truck.

The momentum of a body is the product of its mass and velocity. Mathematically -

p = mv

According to the question -

Assume that the mass of the truck is comparable to a real truck and is equal to 3500 Kg.

Mass of can = 6.9 Kg

Assume that the truck is moving with velocity u m/s and the can is moving with velocity v m/s.

Then -

Momentum of Truck = p(T) = 3500 x u  Kg m/s

Momentum of Can = p(C) = 6.9 x v Kg m/s = 7 x v Kg m/s {Rounded)

Since, the momentum of the truck and the trash can are same, therefore-

p(T) = p(C)

3500 x u = 7 x v Kg m/s

u / v = 7 / 3500 = 1 / 500

v = 500 u

Hence, the velocity of can should be almost equal to 500 times the velocity of truck  in order to have same momentum.

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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 calculated time is 6 seconds.

Time is defined by physicists as the flow of events from the past through the present and into the future. In essence, a system is timeless if it is unchanging. When describing events that take place in three-dimensional space, time can be thought of as the fourth dimension of reality. Even if time isn't directly connected to energy, it is undoubtedly connected to many other components of energy. For instance, the movement of energy across the universe can affect the direction of time (from the past to the future).

V= 2 m/s

d=12 m

t=?

we know that velocity=displacement / time

time= displacement / velocity

= 12/2

=6 seconds

the calculated time is 6 seconds.

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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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Ionic equation is

  [tex]Na^{+} _{3}[/tex](aq) + 2[tex]PO^{3+} _{4}[/tex](aq) + 3[tex]Mg^{+2}[/tex](aq) + 3[tex]Cl^{-} _{2}[/tex] -----> Mg([tex](PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3[tex]Cl^{- }_{2}[/tex](aq)

Here the reaction of aqueous magnesium chloride is mixed with aqueous sodium phosphate.

i.e., Mg[tex](Cl)_{2}[/tex] react with [tex]Na_{3}PO_{4}[/tex]

Here the reaction is the replacement reaction, so when both magnesium chloride reacts with sodium phosphate it forms magnesium phosphate and sodium chloride.

Mg[tex]Cl_{2}[/tex] (aq) + [tex]Na_{3} PO_{4}[/tex] (aq) -------> [tex]Mg_{3} (PO)_{4}[/tex] (s) + Na[tex]Cl_{2}[/tex] (aq)

And the ionic equation is:

[tex]Na^{+} _{3}[/tex] (aq) + 2[tex]PO^{3-} _{4}[/tex] (aq) + 3[tex]Mg^{2+}[/tex](aq) + 3 [tex]Cl^{-}_{2}[/tex](aq)-------> [tex]Mg_{3}(PO_{4} )_{2}[/tex](s) + 3[tex]Na^{+}[/tex](aq) + 3 [tex]Cl_{2}^{-}[/tex](aq)

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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.

Teflon was discovered upon being sawn open.

Numerous applications can be found for polytetrafluoroethylene (PTFE), a synthetic fluoropolymer of tetrafluoroethylene. It is one of the most popular and often used PFAS. The most popular brand name for PTFE-based materials is Teflon [tex](C_{2} F_{4} )[/tex].

Teflon, a high-molecular-weight polymer made entirely of fluorine and carbon, is a fluorocarbon solid. Because PTFE is hydrophobic, neither water nor anything containing water can penetrate it.

For pans and other cookware, teflon is utilised as a non-stick coating. It is frequently used in containers and piping for reactive and corrosive chemicals since it is non-reactive, in part due to the strength of the carbon-fluorine bonds.

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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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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 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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