A physicist drives through a stop light. When he is pulled over, he tells the police officer that the Doppler shift made the red light of wavelength 650nm appear green to him, with a wavelength of 520nm . The police officer writes out a traffic citation for speeding. How fast was the physicist traveling, according to his own testimony?

Answer:

Yes it is possible to have acceleration opposing direction of velocity

Explanation:

1) when you brake the car , the velocity will decrease making the the acceleration to decrease ,it is called decelerating

2) if you imagine the effect of a resistive force or a frictional force than the acceleration is in opposite direction is possible.

Answer:

Acceleration:

a = 1  km/c²

Explanation:

Given:

V1 = 21 km/h

V2 = 9 km/h

Δt =13 s

________________

a - ?

a =(V2 - V1) / Δt = (21 - 9 ) /13 = 12 /13 ≈ 1  km/c²

The frequency of other tuning fork can be 240Hz or 250Hz and hence more than one option is correct

A recurring event's frequency is measured by how many times it occurs in a unit of time. To emphasize distinctions with spatial and angular frequencies, respectively, it is also sometimes referred to as ordinary frequency or temporal frequency.

Given that one tuning fork has a frequency of 245Hz

Additionally, it is stated that a 5 Hz is the beat frequency.

We know the beat frequency formula

[tex]f_ {beat}[/tex] = [tex]f_{2}[/tex] -[tex]f_{1}[/tex]

Suppose that the first tuning fork's frequency is equal to [tex]f_{1}[/tex], then

CASE 1:

5= 245- [tex]f_{2}[/tex]

[tex]f_{2}[/tex] =245+5

[tex]f_{2}[/tex] =250 Hz

CASE 2 :

5= 245 + [tex]f_{2}[/tex]

[tex]f_{2}[/tex] =245-5

[tex]f_{2}[/tex] =240 Hz

Hence there is more than one option is correct in the given question

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It is possible to avoid the spread of accidental wildfires in parks when we stop rangers from initiating a burn that is controlled. Option D

The term wild fire refers to fires that burn uncontrollably. There are some factors that could lead to the beginning of wild fires. One of the several ways that we could have the emergence of a wild fire is if a fire is set up and then is left unattended.

The effects of this wild fire could be so devastating that large buildings as well as large habitats where organisms live could become permanently damaged from the raging of the wild fire and could now amount to a tremendous damage as well as the loss of biodiversity in the ecosystem.

Thus, It is possible to avoid the spread of accidental wildfires in parks when we stop rangers from initiating a burn that is controlled.

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If blinded by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle which is denoted as option C.

This refers to something which is used to transport people and goods from one place to another and examples include car, lorry etc. The lights are used at night for proper vision of the road so as to reduce the risk of accidents on the road.

In a situation whereby an individual is blinded  by an approaching motor vehicle at night, it is best to slow down and avoid looking directly into the lights of the approaching vehicle so as to prevent temporary vision impairment.

This helps to prevent accidents on the road and for the safety of the driver thereby making it the correct choice.

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Answer:

Heat for -20 to zero = .48 * 1000 = 480 calories

Heat to melt ice = 1000 * 79.7 = 79700 calories

Total calories required = 80,200 calories

80,200 cal * 4.19 J/cal = 336,000 J

336000 J / 1000 J/sec = 336 sec

336 sec / 60 sec/min = 5.6 min

(c - 5.55 min)

Answer: If two objects have the same mass but have different sizes, the object with the greatest density will be the smaller of the two objects. Using an example of two cubes.

Explanation:

Answer:

the smaller of the two objects

Explanation:

If two objects have the same mass but have different sizes, the object with the greatest density will be the smaller of the two objects.

Answer:

Rutherford deduced that atoms were mostly empty space

Explanation:

Bubba-Joe carries out a careful investigation to determine the melting point of salicylic acid, and concludes that the value is 161.4 degrees Celsius. The melting point of salicylic acid is known very well as 158.6  degrees Celsius. Bubba's percent error will be 1.74 %

Percentage error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

estimated value of melting point = 161.4 °C

true value of melting point = 158.6 °C

percent error = ((true value - expected value) / expected value) * 100

                       = ((158.6 - 161.4 ) / 161.4 ) * 100

                       = 1.74 %

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The difference between the amplitude at a distance of 60.0 cm and 240 cm is  I240 = 16×I60

           A240=4×I60

Δ∅240=4.Δ∅60

We are given distance of the center of the source for two waves:

D1=240 cm

D2=60.0 cm

b) Calculating how their amplitude compares:

[tex]A_{240} =\sqrt{\frac{I_{240} }{I_{60} } } .A_{60}[/tex]

[tex]=\sqrt{16} .A_{60}[/tex]

[tex]A_{240} = 4. A_{60}[/tex]

How can you determine a wave's phase?

The period, or length of each cycle, is determined by dividing the frequency by 1, so 1/100 corresponds to a period of 0.01 seconds. The phase shift equation is given by ps = 360 * td / p, where td is the time interval between waves, p is the wave period, and ps is the phase shift in degrees.

Phase: The "Phase" of a waveform refers to the location of the moving particle and is expressed in "Radians or degrees."

Phase difference, also known as "Phase angle," is the amount of time that one wave precedes or follows another.

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The production of an electric current by a changing magnetic field is known as electromagnetic induction.

The phenomenon when the current is produced due to changing magnetic field is given by Faraday.

And this phenomenon is called the electro-magnetic induction or magnetic induction since the electricity is generated due to the fluctuations or variance in the magnetic field.

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Answer:

electromagnetic induction

Explanation:

According to gravitational force, the weight would be greater by a factor of 2.

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

m1 = m

m2 = 2m1 = 2m

R1 = R2 = R

Gravitational force is proportional to mass

F1 ~ M

Hence, the ratio of weight is

F2 / F1 = m2 / m1

F2 / F1 = 2m / m

F2 / F1 = 2

Hence, the weight would be greater by factor of 2 .

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Answer:- b

Explanation:

The temperature of the diatomic atom's environment will vary the contributing kinetic energies for its heat capacity. At 60 K or below, the main contributor of energy is translational energy only. When the temperature rises up to about room temperature to 600 K, the contribution of rotational energy starts to be significant. When the temperature exceeds 3000 K, vibration energy is contributing to the heat capacity of a diatomic gas.

The formula for the specific heat capacity at constant volume is:

 where d is for degrees of freedom.

The translational motion contribute 3 degrees of freedom, meanwhile, the rotational and vibrational motion contributes 2 each for the degrees of freedom. Having 29.1 J/mol-K as the molar heat capacity at constant volume, the equation will be:

Having the degrees of freedom = 7 means that d.) translation, rotation, and the vibration is contributing.

Answer: B

The gravitational potential energy of the pomegranate is 282.24 J

The gravitational potential energy of the melon is 250.88 J

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of common types of potential energy. The joule, denoted by the letter J, is the energy unit in the International System of Units (SI).

Although it has connections to the Greek philosopher Aristotle's concept of potentiality, the phrase "potential energy" was coined by the Scottish engineer and physicist William Rankine in the 19th century. Potential energy is connected to forces that affect a body in such a way that their combined work is only dependent on the body's beginning and ultimate positions in space. At any point in space, these forces, also known as conservative forces, can be represented by vectors that are gradients of a particular scalar function known as potential.

Given;

mass of pomegranate, m₁ = 0.3 kg

height of pomegranate, h₁ = 96 m

mass of melon, m₂ = 0.8 kg

height of melon, h₂ = 32 m

The gravitational potential energy of the pomegranate is calculated as;

P.E₁ = m₁gh₁

P.E₁ = 0.3 x 9.8 x 96

P.E₁ = 282.24 J

The gravitational potential energy of the melon is calculated as;

P.E₂ = m₂gh₂

P.E₂ = 0.8 x 9.8 x 32

P.E₂ = 250.88 J

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Pomegranate has a gravitational potential energy of 282.24 J.

Melon has a gravitational potential energy of 250.88 J.

Because of its position, an object can store energy. For instance, when kept at an elevated position, the large ball of a demolition machine is storing energy. Potential energy is the name given to this accumulated positional energy. Similar to this, a drawn bow's stance allows it to store energy.

Examples

a boulder perched on a cliff's edge. Potential energy will be transformed into kinetic energy if the rock falls since it will be moving. a longbow with an extended elastic string.

Step by step solution:

Given;

Mass of the  pomegranate, m₁ = 0.3 kg

Height of the  pomegranate, h₁ = 96 m

Mass of the melon, m₂ = 0.8 kg

Height of the melon, h₂ = 32 m

The gravitational potential energy of  pomegranate is calculated as;

P.E₁ = m₁gh₁

P.E₁ = 0.3 x 9.8 x 96

P.E₁ = 282.24 J

The gravitational potential energy of  melon is calculated as;

P.E₂ = m₂gh₂

P.E₂ = 0.8 x 9.8 x 32

P.E₂ = 250.88 J

Hence, Pomegranate has a gravitational potential energy of 282.24 J.

Melon has a gravitational potential energy of 250.88 J.

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Use manual gearbox to lessen the impact of force.

since we have not much space to maneuver we will identify all the possible sources.

through this sources try to minimize the damage as much as possible

Firstly we will try this :

1)

The car would try to slow down as much as it could and avoid the collision if it had a manual gearbox.

Second option could be:

2)

On the other hand, if the automobile has an automatic transmission, try to stop as hard as you can, but just before you strike the truck, to prevent going under it and lessen the force of the contact.

Last resort should be:

3)

The handbrake may also be engaged as a third option, which would cause my car to turn and attempt to avoid hitting the other car.

In case the highway is not barricaded on left side as an emergency measure we could crash off road.

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It is a maximum in the y z plane

Theoretically, magnetic field lines must traverse the coil's contained space in order for there to be magnetic flux through the coil. In contrast to the x y and x z planes, where the coils are located, the y z plane is where the magnetic field lines pass through.

The entire magnetic field that traverses a particular area is measured by magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area. The precise area selected will determine how magnetic flux is measured.

When the field is perpendicular to the coil's region, the flux is at its highest level. When the x axis is located in the plane of the loop and there is no magnetic field component perpendicular to the loop, the flux is zero.

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The electric force is 7.60 x 10¯⁸ N.

We need to know about the electrostatic force to solve this problem. The electrostatic force produced by charges interacting each other, whose strength is given by the equation

F = k.Q1 . Q2/r²

where F is the electrostatic force, Q1 and Q2 is the charge and r is the radius.

From the question above, we know that

k = 9 x 10⁹ Nm²/C²

Q1 =e = 6.96 x 10¯⁹ C

Q2 = e = 4.02 x 10¯⁹ C

r = 1.82 m

The electrostatic force will attract each other when the charges are different and will repel each other when the charges are same.

F = k.Q1 . Q2/r²

F = 9 x 10⁹ . 6.96 x 10¯⁹ . 4.02 x 10¯⁹/1.82²

F = 7.60 x 10¯⁸ N

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The intensity if the frequency is reduced from f to f / 2 and the displacement amplitude doubled is I.

The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively. One (event) per second is equal to one hertz (Hz), which is how frequency is stated. The period is the reciprocal of the frequency since it is the length of time for one cycle in a repeating occurrence. For instance, the period, T—the space between beats—of a heart beating at a frequency of 120 beats per minute (2 hertz), is equal to 0.5 seconds (60 seconds divided by 120 beats).

I=P/4πr²

Given:

Initial frequency, f = f

Initial Intensity, I = I

Final Frequency, [tex]f^{'}=\frac{f}{2}[/tex]

We know that, The intensity of the speaker is,

[tex]I = \frac{1}{2}\rho \omega^{2}S_{max} ^{2}v[/tex]

Substitute the [tex]\omega[/tex] value in the above equation,

[tex]I = \frac{1}{2}\rho (2\pi f)^{2}S_{max} ^{2}v\;\;\;\;-----equation(1)[/tex]

Therefore, Final intensity of the speaker is,

[tex]I^{'} = \frac{1}{2}\rho (2\pi f^{'} )^{2}S_{max} ^{2}v\;\;\;\;-----equation(2)[/tex]

By dividing the equation (1) and (2), We get

[tex]\frac{I}{I^{'}} = \frac{\frac{1}{2}\rho (2\pi f)^{2}S_{max} ^{2}v}{\frac{1}{2}\rho (2\pi f^{'} )^{2}S_{max} ^{2}v}[/tex]

By taking constant parameters in to account, We get,

[tex]\frac{I}{I^{'}} = \frac{(f)^{2}(S_{max}) ^{2}}{(f^{'} )^{2}(S_{max} )^{2}}[/tex]

By solving the above equation, We get

[tex]\frac{I}{I^{'}} = \frac{(f)^{2}}{4(f^{'} )^{2}}[/tex]

Substitute the final intensity value in the above equation,

[tex]I^{'} = I[\frac{4(\frac{f}{2})^{2}}{f^{2} }][/tex]

By solving the above equation, We get,

[tex]I^{'} = I[/tex]

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Answer:

answer explanation

Explanation:

explanation answer

найдем время, за которые Миссис хилл пробежала первые 25 метров :

T= s/v = T1+T2+T3 + .....

T1=25/10=2.5 секунд - 1/4 от всей дистанции. Найдем T2 по такому же принципу:

T2=50/9.5 = 5.3 секундный - заняли у Хилл, чтоб пробежать следующие 50 метров, найдем T3:

T3=25/11.1=2.25 секунд - последние 1/4 от всей дистанции. Найдем общее время:

T= 2.5+5.3+2.25=10.05 секунд

10.05<10.4, следовательно Мисс Булвер ЛУЗЕР.

Chemical molecules called neurotransmitters are released at the end of the synaptic junction, which allows the neuron to communicate with other neurons.

In the human body, neurotransmitters are chemical messengers that convey information between neurons.

The main function of these transmitters is to pass on electrical signals from nerve cells to other cells of the body including nerves, muscles, and glands.

Neurotransmitters are the major constituents of the nervous system and play a significant role in communication among different organs.

Moreover, they are also crucial for human development and growth.

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It does not affect the uncertainty of the velocity component in the y direction.

Any of a number of mathematical inequalities known as the uncertainty principle establishes a fundamental upper bound on the precision with which initial conditions can be used to forecast the values of some pairs of physical properties of a particle, such as location and momentum.

The measured and stated location of a particle is at x = 0 with zero uncertainty in the x direction.

According to the uncertainty principle, positional and velocity uncertainty are related along the same axis. The velocity component's x-directional component is infinitely uncertain due to the zero uncertainty in location along the x-axis, while the y-directional component is unaffected.

The correct option is (a).

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The truck passes the cyclist with a frequency of 8.59×10⁻³Hz.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

According to the question:

Using Doppler effects:

f' = (v+v₀/v-v₁)f

v₀ is the speed of the observer.

v₁ is the speed of the source.

v is the speed of sound in the medium.

Given:

v, speed of truck = 19.7m/s

f, frequency = 1/90Hz

v₀, speed of cyclist = 4.47m/s

v₁, speed of wave from a stationary source.

Putting in the equation:

f' = 8.59×10⁻³ Hz.

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Answer:For most of history, the lack of observable stellar parallax was interpreted to mean that: Earth is stationary at the center of the Universe.

Explanation:

The radius of the alpha particle's trajectory is [tex]r_{\alpha } =\frac{3}{4} (R(proton))[/tex].

The journey through space and time taken by a mass-moving object is referred to as its trajectory or flight path. Since a trajectory is determined by Hamiltonian mechanics using canonical coordinates, a full trajectory in classical mechanics is defined by position and momentum simultaneously.

A satellite or a missile could represent the mass. For example, a planet, asteroid, or comet moves around a major body in a path called an orbit.

A projectile's trajectory, such as that of a ball or rock thrown, is a well-known example of a trajectory. In a greatly simplified model, an object only moves when it experiences a constant gravitational force field.

Calculations:

Since, the collision is elastic:

Therefore, momentum will be conserved.

Which means:  [tex]m_{p}.v_{p} + m_{\alpha}.v_{\alpha } = m_{\alpha } . v_{0} +m_{p} .v_{po}[/tex]

[tex]m_{p}.v_{p} + m_{\alpha}.v_{\alpha } = m_{\alpha } . v_{0} ......(i)[/tex]

Similarly, for elastic collision:

Additionally conserved is kinetic energy:[tex]KE_{f}[/tex][tex]=KE_{I}[/tex]

                                       =1/2 [tex]m_{p}[/tex][tex]v_{p} ^{2}[/tex]+[tex]1/2 m_{\alpha }.v_{\alpha } ^{2}[/tex]=[tex]1/2m_{\alpha } v_{0} ^{2}[/tex]

For head on collision: ([tex]v_{0} -v_{p0}[/tex])=[tex](v_{\alpha } - v_{p} )[/tex]

                                     [tex]v_{\alpha } +v^{0} =v_{p}[/tex].......(ii)

and,[tex]m_{\alpha } =4m_{p}[/tex].....(iii)

therefore equation(i) becomes.

                     [tex]5v_{\alpha } =3v_{0} \\v_{\alpha } =\frac{3}{5} v_{0} \\[/tex].......(iv)

From equation (ii) and (iv)   [tex]v_{p} = \frac{3}{5} v_{0} +v_{0} =\frac{8}{5} v_{0}[/tex].......(v)

From equation (iv) and (v)    [tex]\frac{v_{p} }{v_{\alpha } } =\frac{8}{3}[/tex]

Since, [tex]r=\frac{mv}{qB}[/tex]

R(proton)=[tex]\frac{m_{p} v_{p} }{eB}[/tex]

[tex]r_{\alpha } =\frac{3}{4} (\frac{m_{p}v_{p} }{eB } )[/tex]

[tex]r_{\alpha } =\frac{3}{4} (R(proton))[/tex]

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The car has a constant acceleration of 1.95m/s2 and reaches a top speed of 41.0m/s. The boat has a constant acceleration of 6.50m/s2 .

When it comes to mechanics, acceleration refers to how quickly an object's velocity changes over time. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of the net force acting on an item determines its acceleration.

According to Newton's Second Law, an object's acceleration is a sum of two factors:

The size of the net balance of all external forces acting on that thing is directly proportional to the net resultant force; the magnitude of the object's mass, depending on the materials from which it was created, is inversely related to the mass.

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When chromium is added to colorless corundum, a red ruby is born, and a green emerald emerges when chromium is added to colorless beryl.

Chromium is a chemical element with the atomic number 24 and the symbol Cr. It is the initial component of group 6. It is a transition metal that is glossy, steely-grey, tough, and brittle.

Because of its high level of corrosion resistance and hardness, chromium metal is prized. The discovery that steel could be transformed into stainless steel, which is extremely resistant to corrosion and discoloration, was a significant advancement in the manufacture of steel. Together, stainless steel and chrome plating (chromium electroplating) account for 85% of commercial use. Chromium is highly prized as a metal that can be thoroughly polished while retaining its shine. Over 90% of infrared light and nearly 70% of the visible spectrum are reflected by polished chrome.

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The equation perpendicular to the line is y=3.

The slope of the line [tex]$3 x+y=3$[/tex] is [tex]$m=-3$[/tex]

Hence slope of the perpendicular line is [tex]$\mathrm{m}^{\prime}=\frac{1}{3}$[/tex]

Therefore the equation of a perpendicular line is

Therefore the equation of a perpendicular line is

[tex]$(\mathrm{y}+1)=\frac{1}{3}(\mathrm{x}-3) $[/tex]

[tex](y+3)=\frac{1}{3}(x-1)[/tex]

Switch sides

[tex]\frac{1}{3}(x-1)=(y+3)[/tex]

[tex]$\frac{1}{3}(x-1)=y+3$[/tex]

Multiply both sides by 3

[tex]$3 \cdot \frac{1}{3}(x-1)=3 y+3 \cdot 3$[/tex]

Simplify

[tex]$x-1=3 y+9$[/tex]

Add 1 to both sides

[tex]$$x-1+1=3 y+9+1$$[/tex]

Simplify

[tex]$$x=3 y+10$$[/tex]

y= 3.33 (Approx 3)

The two different lines that cross each other at a 90° angle are called perpendicular lines. Have you observed any similarities between the walls' intersecting corners, such as the letter "L"? They are parallel lines, which are straight lines that cross each other at the proper angle.

If two lines cross at a 90° angle, we say that they are perpendicular to one another.

the vertex's matching angle is a right angle. All crossing lines are not necessarily perpendicular to one another, but perpendicular lines always cross each other. Perpendicular lines have two key characteristics.

In every case, perpendicular lines cross or intersect.

Any two perpendicular lines will always intersect at an angle of 90 degrees.

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According to a signal velocity, the cable length is 9.45 inches.

We need to know about the velocity to solve this problem. The velocity can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is velocity, d is distance and t is time.

From the question above, we know that

v = 80%c = 0.8c = 2.4 x 10⁸ m/s

t = 1 ns = 1 x 10¯⁹ s

The length of cable can be represented by the distance

v = d / t

d = v . t

d = 2.4 x 10⁸ . 1 x 10¯⁹

d = 0.24 m

Convert to inches (1m = 39.37 inches)

d = 0.24 m

d = 0.24 x 39.37 inches

d = 9.45 inches

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