The efficiency of a petrol car engine is 40%. The speed of the car is 9.0 m s−1 when the power developed by the
engine is 20 kW. Calculate how many kilometres the car can go with one litre of petrol when driven at this speed.

Work done on an object- Measure of energy transfer when an object is moved over a distance by an external force, at least some of which is applied in the displacement direction.

a. When the road exerts a friction force on a speeding car skidding to a stop, the work done by the friction force is negative. This is because the friction force opposes the motion of the car and slows it down. When the force is in the opposite direction of the motion of an object, the work done by the force is negative.

b. When a rope exerts a force on a bucket as it is raised up a well, the work done by the rope is positive. The force of the rope is in the same direction as the displacement of the bucket, so the work done by the rope is positive. When the force is in the same direction as the motion of an object, the work done by the force is positive.

c. When air exerts a force on a parachutist as they fall to Earth, the work done by the air is negative. The force of air resistance opposes the motion of the parachutist and slows them down, so the work done by the air is negative.

Comparison of work done:

The work done by a force is defined as the product of the force and the distance traveled by an object.

If a neighbour pushes a lawnmower four times as far as you do but exerts only half the force,  neighbour does more work. The work done by neighbour is four times the distance traveled by the lawnmower multiplied by half the force exerted .

To find the exact difference in the amount of work done, calculate the product of the distance traveled by the lawnmower and the difference in the force exerted by each person. Assuming that person  pushed the lawnmower a distance of d units and exerted a force of f units. Then, neighbour pushed the lawnmower a distance of and exerted a force of

The work done by person is given by the equation

The work done by neighbour is given by the equation

The difference in the amount of work done is given by the equation W2 -

So,  neighbour did units more work than the person has done.

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Because we already know that this function is exponential, that sort of function that describes the amplitude of damped oscillatory motion is exponential. [tex]y=A\times e^{\frac{-b}{2m} }[/tex][tex]\times cos\omega t[/tex]    

The maximum displacement or distance a point on a vibrating body or wave can move in relation to its equilibrium location is referred to as the amplitude in physics. It is equivalent to the half-length of the vibration path. The bob swings halfway across the pendulum's amplitude when it shifts from one side to the other. Waves are produced by vibrating sources, and the amplitude of the waves is inversely proportional to the amplitude of the source. The largest deviation of any point on a transverse wave, such as the wave on a plucked string, from its position when the wave is at rest, is used to determine the wave's amplitude.

[tex]y=A\times e^{\frac{-b}{2m} }[/tex][tex]\times cos\omega t[/tex]    [tex]\rightarrow(1)[/tex]

here function is [tex]A\times e^{\frac{-b}{2m} }[/tex]    is amplitude

as per equation ( 1 ) it is exponential

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1.16g/cm3 is the density of planet x in g/cm3 if planet x has an estimated mass of 1.78x1027 kg, while its diameter is approximately 142,984 km.

Radius = diameter/2

Radius of the planet X = 142984km/2 = 71492km = 71492000m = 7149200000cm

Volume of the planet X = (4/3) × 3.143 × ( 7149200000cm)3 = 1.53× 1030cm3

mass of the planet X = 1.78 × 1027 kg = 1.78 × 103​​​​​0g

Density = mass /volume

Density of the planet X = 1.78 ×1030g/1.53×1030cm3 = 1.16g/cm3

Density is defined as d = M/V, where d represents density, M is mass, and V is volume. Density is generally measured in grammes per cubic centimetre. Water, for example, has a density of 1 gramme per cubic centimetre, but Earth has a density of 5.51 grammes per cubic centimetre. Density is sometimes measured in kilos per cubic metre (in metre-kilogram-second or SI units).

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The car will travel 6.12 km one litre of petrol when driven at this speed

Given the energy provided by one liter of gasoline e = 34 * 10⁶ Joules

efficiency of the car = 40%

The speed of the car is 9.0 ms⁻¹

Power of the car = P = 20 kW

The useful energy produced by the car is equal to

= P * e

Therefore the useful energy is

= 34 * 10⁶ * 40/100

= 1.36 * 10⁷ Joules

Now, we can say that car consumes 20 ± 10³ J/s to travel at the speed of 9 m/s

The time for which the car will keep moving at this speed using the energy provided by 1 liter of fuel is

[tex]t=\frac{1.36*10^{7} }{20*10^{3} }[/tex] = 680 sec

The distance travelled by car during this time is

d = 9 * 680

d= 6.12 km

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Although the electric potential due to the charges in that position is non-zero, the electric field due to the charges in that position is zero. If the charges are positive, depending on the charges, the potential has two positive contributions or two negative contributions.

What is electric field ?

According to mathematics, the electric field is described as a vector field that may be connected to each point in space and represents the force per unit charge that is applied to a positive test charge that is at rest at that location. Either the electric charge or time-varying magnetic fields can produce an electric field.

What is electric potential?

Between two points in an electric field, there is a difference in potential energy per unit charge, which is known as the electric potential or voltage. The amount of work required to move a unit positive charge from infinity to a specific point in an electric field without accelerating is known as the electric potential (or potential).

Although the electric potential due to the charges at that same position is non-zero, the electric field due to the charges at that same point is zero. If the charges are positive, the potential either has two positive contributions or two negative contributions, depending on the charges.

Therefore, The electric field could have a nonzero value in a point that has zero electric potential was mentioned above.

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Answer:

60m/s

Explanation:

Whenever two objects are moving in opposite direction the relative speed is obtained by adding the speeds of the two objects.

Here the two vehicles are moving with speed 20m/s and 40m/s .

So the relative speed of the car relative to that of the truck will be,

(40 + 20 ) m/s

60m/s

hope this helps!

When we try to calculate how much electric field passes through the surface, we make use of the: In the center of a uniformly charged ring, there is no electric field.

How does the direction of a surface impact the flow of electricity?

When a surface is perpendicular to the field (right panel), no field lines intersect it and there is no electric flux through it. The flux through the surface is between zero and the maximum value if the surface is rotated with respect to the electric field.

The electric flux through a surface only depends on the amount of charge contained by the surface, according to the electrostatics principle known as Gauss's theorem. It is independent of the size and contour of the surface. As a result, for all figures, the electric flux across the surface is the same.

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The net electric field that the particles produce at the square's center will be [tex]E_n_e_t = -2.03[/tex].

To find the net electric field at the center of the square, we need to calculate the electric field due to each particle at that point and then add them up vectorially.

Let's assume that the bottom left corner of the square is at the origin, and the positive x-axis points to the right and the positive y-axis points upwards. Coordinates of four particles:-

q1: (0,0)

q2: (a,0)

q3: (a,a)

q4: (0,a)

here, a = 5.00 cm.

Using the Coulomb's law, the electric field due to each particle at the center of the square:-

[tex]E_1 = k * q_1 / r_1^2[/tex],

here,

[tex]r_1 = a/\sqrt{2}[/tex] is distance between q1 & center of the square.

Since [tex]q_1[/tex] is a positive charge, the direction of its electric field is towards the center of the square.

[tex]E_1 = k * q_1 / r_1^2 * (-i - j)[/tex],

Putting values:-

[tex]E_1 = (9 * 10^9 Nm^2/C^2) * (10.0 * 10^-^9 C) / [(5.00/\sqrt{2} ) m]^2 * (-0.707i - 0.707j)[/tex]

[tex]= -2.03 * 10^5 N/C * (0.707i + 0.707j)[/tex]

Similarly, we can find the electric fields due to q2, q3, and q4:

[tex]E_2 = k * q_2 / r_2^2 * (i)[/tex],

here,

[tex]r_2 = a/2[/tex] is distance between q2 and the center of the square. The direction of its electric field is towards the right:-

[tex]E_2 = (9 * 10^9 Nm^2/C^2) * (-20.0 * 10^-^9 C) / [(5.00/2) m]^2 * i[/tex]

=[tex]-1.44 * 10^6 N/C * i[/tex]

[tex]E_3 = k * q_3 / r_3^2 * (i + j)[/tex],

here,

[tex]r_3 = a/\sqrt{2}[/tex] is distance between [tex]q_3[/tex] and the center of the square.

The direction of its electric field is towards the upper right:-

[tex]E_3 = (9 * 10^9 Nm^2/C^2) * (20.0 * 10^-^9 C) / [(5.00/\sqrt{2} ) m]^2 * (0.707i + 0.707j)[/tex]

= [tex]4.06 * 10^5 N/C * (0.707i + 0.707j)[/tex]

[tex]E_4 = k * q_4 / r_4^2 * (j)[/tex],

here,

[tex]r_4 = a/2[/tex] is distance between [tex]q_4[/tex] and center of the square.

The direction of its electric field is upwards:-

[tex]E_4 = (9 * 10^9 Nm^2/C^2) * (-10.0 * 10^-^9 C) / [(5.00/2) m]^2 * j[/tex]

[tex]= -7.20 * 10^5 N/C * j[/tex]

These four electric fields combine to form the net electric field at the center of the square:

[tex]E_n_e_t = E_1 + E_2 + E_3 + E_4[/tex]

Putting values:-

[tex]E_n_e_t = -2.03[/tex]

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Important Formulas:

[tex]v=\lambda f[/tex]

velocity(measured in m/s) = wavelength(measured in meters) * frequency(measured in hertz)

[tex]T=\dfrac{1}{f}[/tex]

period(measured in seconds) = 1 / frequency(measured in hertz)

__________________________________________________________

Given:

[tex]v=33m/s[/tex]

[tex]f=11Hz[/tex]

[tex]\lambda=?[/tex]

[tex]T=?[/tex]

__________________________________________________________

Rearrange formula for velocity to make wavelength the subject:

[tex]v=\lambda f[/tex]

[tex]\dfrac{v}{f} =\dfrac{\lambda f}{f}[/tex]

[tex]\lambda=\dfrac{v}{f}[/tex]

__________________________________________________________

Finding wavelength:

[tex]\lambda=\dfrac{v}{f}[/tex]

[tex]\lambda=\dfrac{33}{11}[/tex]

[tex]\lambda=3m[/tex]

__________________________________________________________

Finding period:

[tex]T=\dfrac{1}{f}[/tex]

[tex]T=\dfrac{1}{11}[/tex]

[tex]T=0.09[/tex]

__________________________________________________________

Answer:

[tex]\boxed{\lambda=3 \texttt{ meters}}\\\boxed{T=0.09 \texttt{ seconds}}[/tex]

There are main potential reason Genetic factors for the rise in the frequency of low birth weight babies in the United States, but it is not accurate to say that any one particular reason is not a potential cause.

Some of the most commonly cited factors that can contribute to low birth weight include maternal smoking, poor maternal nutrition, lack of access to prenatal care, maternal stress, and medical conditions such as diabetes or high blood pressure. Additionally, environmental factors such as air pollution, exposure to toxins, and social determinants of health, such as poverty and lack of education, can also play a role.

It is important to note that the causes of low birth weight are often complex and multifactorial, and can vary from person to person and from pregnancy to pregnancy. In order to address this issue, it is important to consider a comprehensive and individualized approach that addresses the multiple factors that can contribute to low birth weight.

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The complete question is

In the United States, which is NOT a potential reason for the rise in the frequency of low-birthweight babies?

A. Genetic factors

The energy difference between the staggered and eclipsed populations of ethane depends on various factors such as bond length, bond angle, and bond energy.

In general, the energy difference between these two populations is proportional to the difference in their molecular structure.]

If the difference in molecular structure between the staggered and eclipsed populations of ethane had only been 30-fold instead of the almost three orders of magnitude, it would result in a proportionally smaller energy difference between them. However, without more specific information about the specific molecular structure and bond energies involved, it is not possible to determine the exact energy difference.

In general, it's important to note that the magnitude of the energy difference between the staggered and eclipsed populations of ethane can be influenced by various factors such as temperature, pressure, and the presence of other molecules. These factors can affect the magnitude of the energy difference and make it difficult to determine an exact value.

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100N of horizontal force is required to hold a 3kg book vertically against the wall to prevent it from falling if the coefficient of static friction between the book and the wall is 0.3.

What is friction?

Friction=μN, where N is the normal force.

N = friction/μ.

N = mg/μ

m = 3 kg

g = 10m/s²

μ = 0.3

N = mg/μ

N = 300/3

= 100N

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Answer:

F = Q E       force exerted by field on charge Q

F = M g    weight of sphere

M g = Q E

E = M g / Q = .0064 kg * 9.80 m/s^2 / 3E-9 C

E = 2.09E7 Newtons/Coulomb  

Object whose position throughout time is represented by a graph Which point in position 6 has the highest speed

A body and object's velocity determines the direction of its motion. Speed is fundamentally a scalar quantity. It is a vector term in its purest form. It refers to the rate at which distance varies.

Any object's velocity is a measurement of how swiftly it moves. Therefore, it can be described as the shift in an object's position divided by time. Both a magnitude (a number) and a direction are associated with velocity. Meters a second (meter/second) is the unit used to measure velocity.

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Answer:

The momentum of the steel ball is 0.28 kg m/sec.

Explanation:

The momentum of an object can be calculated using the formula: momentum = mass x velocity. In this case, the mass of the steel ball is 100 g, which is equivalent to 0.1 kg. The velocity of the ball is 2.8 m/sec. Plugging in the values into the formula, we get:

momentum = 0.1 kg x 2.8 m/sec

momentum = 0.28 kg m/sec

So the momentum of the steel ball is 0.28 kg m/sec.

The sine refraction of the two angles, or sin(c, red) - sin(c, green), is equal to the difference between the critical angles for red and green light.

The critical angle is the angle of incidence (angle between the incoming light and the surface normal) where no more refraction takes place and the refracted ray is just skimming the surface. Beyond this angle, the light won't enter the second medium and will instead begin to reflect back into the first.

Flint glass has red and violet light refractive indices of 1.613 and 1.632, respectively. The refractive indices of the materials define the critical angle.

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The uncertainty in the position of the electron moving at 30.0 m/s is 0.0003 m.

Electron is an open-source framework that allows developers to create cross-platform desktop applications using web technologies like JavaScript, HTML, and CSS. It is based on the Chromium web browser and Node.js runtime, and developers can use it to build applications for Windows, Linux, and macOS. Electron is used by many popular applications, including Slack, Visual Studio Code, and Atom. It provides a range of powerful tools and APIs to help developers create feature-rich applications quickly and easily.

The uncertainty in the position of the electron is determined by the uncertainty in its velocity, which is 0.00100%.
This means that the uncertainty in the position of the electron is equal to 0.00100% of 30.0 m/s, or 0.0003 m.
Therefore, the uncertainty in the position of the electron moving at 30.0 m/s is 0.0003 m.

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The speed of the ping-pong ball is more than that of the golf ball. Correct option is C.

If the kinetic energy of each ball is equal to that of the other,

(1/2) (mass of ppb) (speed of ppb)² = (1/2) (mass of gb) (speed of gb)²

where,

ppb is ping-pong ball

gb is golf ball

Multiplying each side by 2,

(mass of ppb) (speed of ppb)² = (mass of gb) (speed of gb)²

Divide each side by (mass of gb) and by (speed of ppb)²:

(mass of ppb)/(mass of gb)  =  (speed of gb)²/(speed of ppb)²

Take square root of each side,

√ (ratio of their masses)  =  ( 1 / ratio of their speeds)²

If their kinetic energies are equal, then the product of each mass and its speed² must be the same number.

If one ball has less mass than the other one, then the speed² of the lighter one must be greater than the speed² of the heavier one, in order to keep the products equal.

Thus, the pingpong ball is moving faster than the golf ball.

The given question is incomplete. The complete question is 'A. less than golf ball B. same as golf ball C. more than golf ball D. impossible to know'

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In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."

Who was Socrates?

Socrates was a classical Greek philosopher, credited as one of the founders of Western philosophy. He is best known for his method of inquiry, called the Socratic method, and for his teaching style, which was dialogic and aimed at getting students to think critically and develop their own ideas.

According to Socrates, the laws of the state were a reflection of the absolute and unchanging moral values that exist in the world. He believed that as a philosopher, it was his duty to live in accordance with these moral values, and thus to follow the laws of the state. In this way, Socrates saw himself as a servant of the divine, and believed that by following the laws, he was serving the greater good and promoting the welfare of the city.

Hence, In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."

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The total charge to conserved that is Q=-6C,Now the sum of the total charges on both the pieces should be Q=Q1+Q2 = -6C,given that one charge is Q1 =2C,  there fore -6 =2+Q2, There fore the charge on other piece is Q2 = -6-2 = -8C.

In accordance with the principle of charge quantization, the total charge on an object must be an integer multiple of the basic charge, which is the fee on an electron (e).Not an integer, this.Thus, a body charged at 2.810-18 C is not possible.

If there are greater proton than electrons, the charge density of the thing is positive.If an object has more electrons than protons, it has a negative net charge.If there are an equal number of protons and electrons, the thing is neutral.

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The amount of potential energy that converted into thermal energy is  468 kJ.

Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource, energy can only be transformed from one form to another and cannot be created or destroyed.

Hence, form conservation of energy;

the amount of potential energy that converted into thermal energy =

Initial potential energy - final kinetic energy

= 1500 × 9.8 × 135  - 1/2×1500×45²

=  465750 Joule

= 468 kJ

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The following equations provide the maximum speed at which an automobile may travel in a circular turn without skidding, (* g * r) = v max As a result, the car can travel at a maximum speed of about 3.23 m/s before skidding during the turn.

A car is a vehicle made specifically to move people and cargo over roads. Although electric and hybrid models have increased in popularity recently, internal combustion engines that use fossil fuels still provide the majority of the power for cars. The steering system, engine, gearbox, suspension, and brakes are a few of the crucial parts of a car. Modern vehicles frequently include a number of extra conveniences, such power windows, air conditioning, and sophisticated safety systems. The introduction of automobiles, which offer a practical and effective mode of transportation and enable the growth of new industries like travel and commuting, has had a significant impact on society.

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At the top of the mountain where the ambient pressure is 11.5 psi, your tire pressure gauge reads 28 psig. After riding down the mountain to sea level where the ambient pressure is 14.7 psi. The tire pressure gauge at sea level will read 24.8 psig.

In this case, we can start by converting the gauge pressure at the top of the mountain (28 psig) to absolute pressure (pa) using the formula:

pa = gauge pressure + ambient pressure

pa = 28 psig + 11.5 psi

pa = 39.5 psi

At sea level, the ambient pressure is 14.7 psi, so the gauge pressure (pg) can be calculated as:

pg = pa - ambient pressure

pg = 39.5 psi - 14.7 psi

pg = 24.8 psig

So, the tire pressure gauge at sea level will read 24.8 psig.

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Equation describes the connection between a mass-spring system's input force and output velocity, m(d^2x/dt^2) + b(dx/dt) + kx = f(t).

The relationship between the input force and the output velocity of a mass-spring system is given by the equation m(d^2x/dt^2) + b(dx/dt) + kx = f(t), where m is the mass of the object, b is the damping coefficient, k is the spring constant, x is the displacement of the mass from its equilibrium position, and f(t) is the input force as a function of time.

Thus, the relationship between the input force and the output velocity is mediated by the mass, spring constant, damping coefficient, and displacement of the system.

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a) The heat energy transferred to the outside air is 6.04 × 10^4 J.

b) The net change in the internal energy of the refrigerant is 1.51 × 10^4 J.

c) amount of work done inside is -1.51 × 10^4 J.

d) The net change in the internal energy is 9.06 × 10^4 J

a. The amount of energy transferred as heat to the outside air is the difference between the amount of heat removed from the air inside the refrigerator and the work done on the refrigerant: 7.55 × 10^4 J - 1.51 × 10^4 J = 6.04 × 10^4 J.

b. The net change in the internal energy of the refrigerant is the work done on the refrigerant: 1.51 × 10^4 J.

c. The amount of work done on the air inside the refrigerator is negative of the work done on the refrigerant, as energy is transferred from the air to the refrigerant: -1.51 × 10^4 J.

d. The net change in the internal energy of the air inside the refrigerator is the heat removed from the air minus the work done on the air: 7.55 × 10^4 J - (-1.51 × 10^4 J) = 9.06 × 10^4 J.

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The cable can withstand a tensile stress of up to 3265 N.

It is appropriate to use the terms "push" or "pull" to describe a force at this moment. A power that something "contains" or "has in it" does not exist. A force is exerted on one item by another. The definition of a force includes both living and non-living things.

Here, T is the cable's tension force, m is the elevator's mass, g is gravity's acceleration (9.81 m/s2), and an is the elevator's upward acceleration.

The elevator's net force is supplied by:

Fnet = Fg + Fa

The sources of the gravitational pull are:

Fg = m * g

 = 250.0 kg * 9.81 m/s²

 = 2452.5 N

The force due to the elevator's acceleration is given by:

Fa = m * a

 = 250.0 kg * 3.25 m/s²

 = 812.5 N

The net force on the elevator is therefore:

Fnet = Fg + Fa

    = 2452.5 N + 812.5 N

    = 3265 N

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Speed of a man at the base of the hill is 93.27m/sec  if a man skies down from the top of hill 1450m high.

In actual sciences, mechanical energy is the amount of possible energy and motor energy. The rule of preservation of mechanical energy expresses that in the event that a disengaged framework is subject just to moderate powers, the mechanical energy is consistent. In the event that an item moves the other way of a moderate net power, the potential energy will increment; and if the speed (not the speed) of the item changes, the dynamic energy of the item likewise changes.

In every single genuine framework, nonetheless, non-conservative powers, for example, frictional powers, will be available, however in the event that they are of irrelevant greatness, the mechanical energy changes nearly nothing and its protection is a valuable estimation. In flexible crashes, the active energy is moderated, yet in inelastic impacts some mechanical energy might be changed over into nuclear power. The comparability between lost mechanical energy and an expansion in temperature was found by James Prescott Joule.

At 1450m height,mechanical energy is equal to potential energy. Potential energy is all due to position of man.

Potential energy=mgh where m is the mass and g is the acceleration due to gravity and h is the height.

So,potential energy=m×10×1450Joules.

Now,when he starts from rest and losses 70% of energy in friction,it means 30% mechanical energy will convert into kinetic energy.

So,30% of mechanical energy=kinetic energy of man.

=>(30/100) ×m×10×1450=(1/2)×m×v²

=>3×1450×2=v²

=>v²=8700

=>v=√8700

=>v=93.27m/sec.

Hence,speed of man at base is 93.27m/sec.

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The common cause for ignition of gasoline vapors during refueling is

static electrical discharge.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials.

In petrol pumps,

During refueling, many petroleum products become electrically charged when they flow through pipes and hoses, including gasoline, kerosene, petrol, diesel etc. which are poor electrical conductors.

Charge remains until it is able to move away by means of an electric current or electrical discharge which causes the static spark that can ignite gasoline vapors, causing a flash fire.

Hence, static electrical discharge is common cause of all 36 incidents of gasoline vapor ignition.

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Isaac is mixing green, blue, and red paints together, and it looks like a muddy mess rather than pure white then the wavelengths are subtracted, rather than added.

Additive and subtractive color mixing are the two major methods of color blending. A procedure known as additive color mixing involves adding one set of wavelengths to another set of wavelengths to produce a new hue. When lights of various wavelengths are combined, additive color mixing results. We see white light rather than numerous distinct hues when we combine all of the sun's various wavelengths. Because all of the wavelengths still reach our eyes, it is called additive. The variety of colors is produced by combining various wavelengths. By removing wavelengths from a light source with a wide spectrum of wavelengths, subtractive color mixing produces a new hue. When we combine paints, dyes, or pigments, subtractive color mixing takes place.

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Answer:

Below

Explanation:

All of the Kinetic energy ( 1/2 mv^2) will be converted to Gravitational Potential Energy ( mgh)  ....so

1/2 m v^2   = mgh     divide both sides of the equation by 'm'

1/2 v^2 = gh                ( not that the mass of the jumper is irrelevant !)

(1/2 v^2 ) /g  = h

(1/2) (9.8 m/s)^2  / (9.8 m/s^2 ) =   4.9 m