A light-rail commuter train accelerates at a rate of 1.40 m/s2. how long does it take to reach its top speed of 76.5 km/h, starting from rest?

If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

The motion of planets and their satellites is governed by Kepler’s Laws.

Kepler’s Laws are as follows:

According to the law of periods, the square of the time period of a body revolving around another body is proportional to the cube of the distance between the two bodies

The above statement is given by the following formula

T^2 ∝ R^3

Putting T1 = 28 days , T2 = x and R2 = 2R1

T1/T2 =(R1/R2)^3

28/x = (1/2)^3

x = 79 days.

Thus, If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

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If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

The motion of planets and their satellites is governed by Kepler’s Laws.

Kepler’s Laws are as follows:

Law of Orbits

Law of Areas

Law of Periods

According to the law of periods, the square of the time period of a body revolving around another body is proportional to the cube of the distance between the two bodies

The above statement is given by the following formula

T^2 ∝ R^3

Putting T1 = 28 days , T2 = x and R2 = 2R1

T1/T2 =(R1/R2)^3

28/x = (1/2)^3

x = 79 days.

Thus, If the orbital radius of the moon were twice its actual value, the orbital period would be approximately 79 days.

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   The index of refraction of the material through which red light passes is n = 1.44

  The index of refraction is the ratio of the speed of propagation of the speed of light in a vacuum to the speed of light in a given medium.

n = c/v

  The relationship is studied by Snell's Law, and relates the index of refraction in different media and allows us to find the angles of refraction of a ray of light, by means of the equation:

  The wavelength of red light in vacuum is 650nm, if in the material the wavelength value is 450nm, we apply the following equation:

f = C/λ

f = 3×10⁸m/s / 650×10⁻⁹m

f = 4.61×10¹⁴ Hz

V = λf

V = 450×10⁻⁹m * 4.61×10¹⁴ Hz

V = 207450000 m/s

n = 3×10⁸m/s / 207450000 m/s

n = 1.44

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As total torque is positive . That means it will not be in state of rotational equilibrium . So it will rotate about its centre of mass. Net torque will produce angular acceleration

Angular acceleration, moreover called rotational acceleration, could be a quantitative expression of the change in precise velocity that a spinning object undergoes per unit time. It may be a vector quantity, comprising of a magnitude component and either of two characterized directions or senses. The size, or length, of the angular acceleration vector is specifically relative to the rate of change of precise speed, and is measured in radian s per moment squared (rad/s 2 or rad · s -2 ). Then again, the precise acceleration magnitude can be communicated in degrees per moment squared (deg/s 2 or deg · s -2 ).

The direction of the angular acceleration vector is opposite to the plane in which the turn takes put. In case the increment in angular speed shows up clockwise with regard to an observer, at that point the precise increasing speed vector focuses absent from the spectator. In case the increment in angular speed shows up counter clockwise, at that point the precise increasing speed vector focuses toward the eyewitness.

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The peak current through a 590 w room heater that operates on 220 v ac power is 5.86 A.

The largest amount of current that an output is capable of providing for brief periods of time is known as the peak current.

When an electrical device or power source is turned on for the first time, a large initial current known as the peak current flows into the load, starting at zero and increasing until it reaches a peak value.

For instance, the connection between RMS and Peak Current is as follows when the AC waveform is a perfect sine wave.

RMS Current is equal to Peak Current times 0.70 or Peak Current times 1.41.

An alternating current can be expressed using two numbers: RMS and peak. RMS and Peak differ most when it comes to peak.

Here on we have

P = 500 W

V = 120V

Then according to the expression for current,

I = P/V

= 500W/ 120V

= 4.16A

Then for peak current is,

Imax = [tex]\sqrt{}[/tex]2I

= (1.41) (4.16A)

= 5.86A

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Literally, it meant that the circle formed by x² + y² = 25 "contains" the curve. C is more specifically located on the 5 radian cylinder's edge.

The circle x²+y²=25 makes up each bend of the cylinder, as you can see.

The cylinder has two key characteristics, namely surface area and volume because it is a three-dimensional form. The combined curved surface of the cylinder and the areas of the two rotating bases make up its whole contact area.

A cylinder's volume is the term used to describe the three-dimensional space it takes up.

On the cylinder's 5 radian edge, C is located.

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The sum of the forces F[1] = 200 N and F[2] = 160 N acting opposite to each other in vector form is 40 [tex]a_{x}[/tex] along the negative x - direction.

We have two forces of 200 N and 160 N acting opposite to each other.

We have to determine their sum.

Force is the product mass and acceleration of a body. Mathematically -

F = m x a

According to the question -

We have two forces represented by two vectors having angle of 180 degrees between them. The mathematical representation of these vectors is shown below -

F[1] = + 160 [tex]a_{x}[/tex].   [along the positive x - axis].

F[2] = - 200 [tex]a_{x}[/tex].   [along the negative x - axis].

Now, the sum of the forces will be -

F(N) = F[1] + F[2] =  160 [tex]a_{x}[/tex] + (- 200 [tex]a_{x}[/tex]) = - 40 [tex]a_{x}[/tex]

Hence, the sum of the forces is 40 [tex]a_{x}[/tex] along the negative x - direction.

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In Hypothesis 1, the voltage was intentionally manipulated as the independent variable.

In Hypothesis 2, the resistance was intentionally manipulated as the independent variable and the dependent variable measured in both cases was the current.

In an experiment, the independent variable is a manipulated variable. Due to the fact that you may alter it, it is termed the “manipulated” one. In other words, you can choose in advance whether to raise it or lower it. Only one variable should be being changed at a time throughout an experiment.

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The time taken by the car is 0.018 hours.

Speed is the ratio of the distance covered by a body to the time taken. We know that it can also be defined as the rate at which a body moves from one point to another.

We have the following information from the question;

Speed of the car = 1090 km/hr

Distance covered by the car =  20.0km

Speed = distance/time

time = distance/speed

time = 20.0km/1090 km/hr

time = 0.018 hours

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The electric field formula E=kQr2 E = k Q r 2 (where k is Coulomb's constant, and the units of the electric field are Newtons/Coulomb) gives the strength or magnitude of the electric field for a charge Q at a distance r from the charge.

To calculate the size of the electric field, we can apply the equation E = k | Q | r 2. If the electric potential is known at every point in a region of space, the electric field can be derived from the potential. In vector calculus notation, the electric field is given by the negative of the gradient of the electric potential, E = −grad V.

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a. x and y component of the vectors are  1,178.2 m/s and -549.4 m/s respectively.

b. x and y component of the vectors are  -1.368 m and -3.76 m respectively.

c. x and y component of the vectors are 2.7 N and 12.72 N respectively.

d. x and y component of the vectors are 17.32 m/s²and -10 m/s²respectively.

The horizontal component of a vector is the   -component of the vector. The vertical component, of a vector is the   -component of the vector.

Vx = 1300 x cos (-25)

Vx = 1,178.2 m/s

Vy = 1300 x sin(-25)

Vy = -549.4 m/s

dx = 4 m cos(250)

dx = -1.368 m

dy = 4 m sin(250)

dy = -3.76 m

fx = 13 N cos(78)

fx = 2.7 N

fy = 13 N sin(78)

fy = 12.72 N

ax = 20 m/s² x cos(330)

ax = 17.32 m/s²

ay = 20 m/s² x sin(330)

ay = -10 m/s²

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The ph of  a 0.60 m aqueous solution of formic acid is 1.98 then the [tex]K_a[/tex] for formic acid will be 1.86×[tex]10^{-4}[/tex].

Any solution where the solvent is water (H2O) is referred to as an aqueous solution. When a species' name appears in a chemical equation, the symbol (aq) is used to denote that the species is in an aqueous solution.

Despite being frequently referred to as the universal solvent, only hydrophilic compounds dissolve in water. Acids, bases, and many salts are examples of hydrophilic molecules. Hydrophobic substances tend to not form aqueous solutions and do not dissolve well in water. Several organic compounds, such as fats and oils, are examples.

According to the question,

HCOOH ⇄ [tex]H^{+}[/tex] + [tex]HCOO^{-}[/tex]

[[tex]H^{+}[/tex]] [tex]10^{-1.98}[/tex]

=0.0104713

Now,

I     0.60                 0              0

C    -x                    +x            +x

E    0.60-x              x              x

[tex]K_a[/tex]= x²/(0.60-x)

Here,

x=0.0104713

[tex]K_a[/tex]=(0.0104713)²/(0.60-0.0104713)

[tex]K_a[/tex]=1.86×[tex]10^{-4}[/tex]

Hence, the [tex]K_a[/tex]  for formic acid will be 1.86×[tex]10^{-4}[/tex].

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The average acceleration after the rope starts stretching and slowing down is 9.63m/s^2 when a bungee cord has a length of 10m it stretches by at most 20% you jump from a bridge 15m high.

The acceleration of a bungee jumper is given by

a=-g(1-(μ(4L+μ(2L+y))/(2(μ(L+y)+2L)^2 )))

g is the acceleration due to gravity (9.81m/s2)

µ is the mass ratio (which is 1), assuming the mass of the jumper and the bungee cord are the same

L is the length of the bungee cord (10m)

Y is the height at which the jumper jumps (15m)

a=-g(1-(((4L+(2L+y)))/(2((L+y)+2L)^2 )))

Substituting the values

a=-9.81(1-(((4(10)+(2(10)+15)))/(2((10+15)+2(10))^2 )))

a=-9.81(1-(((40+(20+15)))/(2((25)+20)^2 )))

a=-9.81(1-(((40+35))/(2(45)^2 )))

a=-9.81(1-(75/(2×2025)))

a=-9.81(1-(75/4050))

a=-9.81(1-0.0185)

a=-9.81(0.9815)

a=-9.6285

a=-9.63m/s

The acceleration is negative because the rope is slowing down, i.e. coming to rest.

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The wavelength released in transition energy is 683.68 nm.

We need to know about transition energy to solve this problem. Electrons in a hydrogen atom can move to another level of energy. It is also called a transition. In this process, electrons will absorb or release their energy to move. The transition energy can be determined as

ΔE = E2 - E1

where ΔE is transition energy, E2 is the final state of energy and E1 is the initial state of energy.

The state energy of a hydrogen atom can be calculated by

E = -(13.6) / n² eV

E = h.c / λ

where n is the number of energy states, h is Planck constant (4.136 x 10¯¹⁵ eV/Hz), c is speed of light (3 x 10⁸ m/s) and λ is wavelength.

Rydberg has been simplified how much wavelength released or absorbed by this equation

1/λ = R (1/n1 - 1/n2)

where R is Rydberg constant (1.097 × 10⁷ /m)

From the question above, we know that

n1 = 3

n2 = 5

By substituting the following parameter, we get

1/λ = R (1/n1 - 1/n2)

1/λ = 1.097 x 10⁷(1/3 - 1/5)

1/λ = 146266.67

λ = 6.8368 x 10¯⁷ m

λ = 683.68 nm

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By using power, the electric energy is 20304 kJ.

We need to know about power to solve this problem. Power is the energy dissipated because of resistance. The magnitude of power is proportional to current and voltage. It can be determined as

P = I . V

where P is power, I is current and V is voltage.

The electric energy can be calculated by this equation

W = P . t

where W is electric energy and t is time

From the question above, we know that

P = 9.4 kW = 9.4 x 10³ W

t = 36 min = 2160 seconds

By substituting the following parameters, we get

W = P . t

W = 9.4 x 10³ . 2160

W = 20304 x 10³ joules

W = 20304 kJ

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The speed of 60.5 miles per hour (mi/h) expressed in meters per second (m/s) is: 27.046 m/s

To solve this problem the we have to convert the units with the given information.

Information about the problem:

By converting the velocity units from (miles/h) to (m/s) we have:

60.5 miles/h * (1609.34 m / 1 miles) * (1 h / 3600 s) = 27.046 m/s

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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The velocity remains the same as the person is walking on the land itself. so, velocity with respect to land is 1.8m/s.

The velocity of an object in relation to another observer is known as its relative velocity. It is the pace at which one object's relative location changes in relation to another object over time. in this case the vector addition of object with respect to ship is added to land but since the object itself move on the ground it becomes zero. so, the velocity is 1.8m/s itself. velocity is a term that describes the speed and direction of a point's motion. For example, a circular path's direction is always perpendicular to a line from the point to the circle's center. A point always moves in a direction that is tangent to its path (a radius).

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The cards are observed to move forward as the coins gel in the jar. This happens because the coin has rest inertia. Rest inertia is the resistance that an object exerts at rest. resist change and fall into the glass.

Coins have inertia. If you move the card slowly, it won't be fast enough to overcome this force. With a quick flick, the coin stays in one place and falls into the cup. A stationary object remains stationary. You could change position and fall to the ground or be inside the glass. This is because the paper changes its position when a strong force is applied or a quick pull is applied.

The law of inertia, also known as Newton's first law, states in physics that if an object is at rest or moving in a straight line with a constant velocity, it is at rest or moving in a straight line with a constant velocity. We assume that This is when a force is applied.

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The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long is 1960 g.

Simply put, density is a measurement of how tightly packed the mass of an object or material is. The mass-to-volume ratio of an object is how scientists describe density. How densely a substance is packed is shown by its density. Density is defined mathematically as Mass/Volume.

Radius of the lead cylinder = diameter / 2 = 1.80 / 2 = 0.9 in = 0.9 × 2.54 cm = 2.29 cm

Height of lead cylinder = 4.12 in = 4.12 × 2.54 cm = 10.46 cm

Volume of cylinder = π[tex]r^2h[/tex] = 3.14 × 2.292 × 10.46 = 172.24 [tex]cm^3[/tex] = 172.24 ml

Mass of lead cylinder = Density * Volume = 11.4 × 172.24 =1960 g

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Answer:

Traveled = 6 steps     displacement = 0    

Explanation:

see attached 'sketch'

Answer:

yes it's communication

Roll both a 10-sided fair die with an ace side and a 12-sided fair die with an ace side.

The chance that one, and only one, of the dice will land ace is 1/6.

Fair dice are those that have an equal chance of falling face-up on the table. When each face of a conventional 6-sided die has the same probability of 1/6, it can be said that the die is "fair."

.Probability is the possibility of rolling one die and getting a finite number (1, 2, 3, 4, 5, and 6). The fundamental principle of probability is to calculate it by dividing the number of outcomes that are possible by the result that you are anticipating. Therefore, a die has six faces or sides, and there are six equivalent likelihoods for each roll. Regardless of which number you select, there is only one result you are hoping for.

P (only one Ace) =[tex](1/10)(11/12)+(9/10)(1/12)[/tex]

[tex]=20/120[/tex]

[tex]=1/6[/tex]

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According to potential energy, the height of the object is 2.296 meters.

We need to know about potential energy to solve this problem. The potential energy is the object's energy caused by its position. Potential energy can be determined as

PE = m . g . h

where PE is potential energy, m is mass, g is the gravitational acceleration (9.8 m/s²) and h is height.

From the question above, we know that

PE = 342 joules

m = 15.2 kg

By substituting the given parameters, we can calculate the height

PE = m . g . h

342 = 15.2 . 9.8 . h

148.96 h = 342

h = 2.296 meters

Hence, the height of the object from the ground is 2.296 meters.

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By using uniform motion, the time taken to accelerate is 3.72 seconds.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

a = 0.6 m/s²

vo = 55 mi/h

vt = 60 mi/h

Convert the velocity to m/s

vo = 55 mi/h

vo = 55 x 1609.34/3600 m/s

vo = 24.59 m/s

vt = 60 mi/h

vt = 60 x 1609.34/3600 m/s

vt = 26.82 m/s

Find the time taken

vt = vo + a . t

26.82 = 24.59 + 0.6t

0.6t = 2.23

t = 3.72 seconds

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In a computer simulation, Jeffrey moves a magnet (Magnet 2) toward the another magnet (Magnet 1) that cannot move. The potential energy in the system of magnets increases because Magnet 2 moves against the magnetic force.

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or the other factors.

Common types of the potential energy include the gravitational potential energy of an object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The unit for energy in the International System of Units (SI) is joule, which has the symbol J.

Potential energy is associated with the forces that act on a body in a way that the total work done by these forces on the body depends only on the initial and the final positions of the body in space. These forces, that are called the conservative forces, can be represented at every point in space by vectors expressed as the gradients of a certain scalar function called potential.

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The volume of solution is 8.67ml, while calculating the volume of a solution where 5.7 g of ca(no3)2(aq) is dissolved in a 4.00 m aqueous solution.

The value of 6.023 x 1023 is equal to one mole of any substance (Avagadro number). It can be used to quantify the chemical reaction’s byproducts.

When we know the mass of a compound, we may calculate how many moles there are.

Therefore, we can calculate the number of moles in a sample by simply weighing it and multiplying the result by the molecular weight. The number of moles is equal to the quotient we arrive at in this case.

A mole is 6.02214076 x 1023 of any chemical unit, including atoms, molecules, ions, and others.

Maa of Ca(NO3)2 = 5.7g

Molar mass of Ca(NO3)2 = 164.09 g/mol

Number of moles of solute [Ca(No3)2] = mass/molar mass

= 5.7/ 164.09 g/mol

= 0.0347 mol

Hence the number of moles of solute is 0.0347 moles

Then we have

Molarity of solution = 4 M

Molarity = Moles of solute/ Volume of solution(l)

Volume of solution (L) = Moles of solute [Ca(No3)2] / Molarity of solution

= 0.0347 / 4

=0.00867 L

= 8.67 ml

Hence the volume of solution is 8.67

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The environmental problems directly related to energy production and consumption include air pollution, climate change, water pollution, thermal pollution, and solid waste disposal. The emission of air pollutants from fossil fuel combustion is the major cause of urban air pollution.

Any substance (solid, liquid, or gas) or energy can cause pollution (such as radioactivity, heat, sound, or light). Both naturally occurring contaminants and imported substances/energies can be considered pollutants, which are the elements of pollution. Despite the fact that natural disasters can result in environmental contamination, the word pollution often suggests that the toxins came from an artificial source, or a source made possible by human activity. Point source and nonpoint source pollution are two common categories of pollution.

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One of the frequencies used to transmit and receive cellular telephone signals in the United States is 850 MHz. 0.353m or 35.3cm is the wavelength in meters of these radio waves.

A waveform signal that’s carried in space or down a wire has a wavelength, which is that, the separation between two identical places (adjacent crests) in the consecutive cycles. This length is usually defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm). The meter, commonly abbreviated as m, is that the SI unit for wavelength. The multiples or fractions of a meter are also used to measure wavelength.

The wavelength of sunshine is a crucial characteristic since it establishes the nature of the light. Green light features a wavelength that is different from both of them, while red light features a wavelength that is different from blue light. The longest wavelengths are found in gamma rays. The light with the longest wavelength is red, which is at one extreme of the spectrum. The wavelength of blue or violet light is that the shortest. All of the colors in the color spectrum are combined to create white light.

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No change in motion because the person is pushing the object

It resists motion, thus if something is sliding on the floor, friction is the force that finally brings it to a halt. If there was no friction, the item would continue to glide indefinitely unless moved on by another force.

Some surfaces are naturally less frictional. Ice may be thought of as a slippery surface. It does not qualify as a frictionless surface. No, zero friction surfaces are not possible. Even if we use a lot of lubricants, friction will be minimized, but it will never be zero since every surface has slight flaws.

The majority of experts agree that ice exhibits minimal friction because of a thin layer of liquid water on its surface. Skaters using thin metal blades can therefore glide effortlessly over the ice rink but grind to a standstill on the hardwood floor beyond.

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The correct answer is 70 meter displacement in the east.

Let's assume that he departs from point O and follows the path ABC.

The man's displacement will be revealed if we join the start and end points of the path he took.

O's distance from A is 40 meters.

70 meters separate A and B.

From B to C, it is 40 meters.

Distance from B to C equals the distance between O and A.

We're looking for the displacement, which is the separation between points O and C.

The opposing sides of a rectangle are equal. Hence A to B is separated by the distance from O to C.

Distance from A to B equals displacement.

70 meter displacement in the east.

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