A 70-kg base runner begins his slide into second base when he is moving at a speed of 4. 0 m/s. The coefficient of friction between his clothes and earth is 0. 70. He slides so that his speed is zero just as he reaches the base. (a) how much mechanical energy is lost due to friction acting on the runner? (b) how far does he slide?.

The focal length image distance is dependant on the convex surface of the lens and if the curvature of the lens changes, the focal length also changes.

As the object distance gets very large, (compared to focal length) the distance of the image reaches focal length.

For example, if the object is a mile away, the image distance equals the focal length.

The focal length image distance is dependant on the convex surface of the lens and if the curvature of the lens changes, the focal length also changes.

From the axis of the curved lens,

The key equation is the lens equation:

1/p + 1/q =  1/f  

where p is the object distance,

q is the image distance

f is focal length.

If, we assume, the image distance is equal to the object distance we can write

2/p  =   1/f

so  f =  p/2

Hence this is how we can describe the relationship between focal length and convex lens.

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The frequency of a wave that propagates with speed 12m/s and wavelength 3m is 4Hz

y=3m

s=12m/s

s/y=F

12/3 =4Hz

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The light molecules will have the greater speed, as their mass is much lower than that of the massive molecules. This means that they will have a higher kinetic energy per unit mass, which leads to a higher speed.

The speed of a molecule is determined by its kinetic energy, which is a measure of the energy of its motion. The kinetic energy of a molecule is proportional to its mass and the square of its velocity. Since the average kinetic energy (KE) of the two types of molecules in the mixture is the same, the lighter molecules will have a higher velocity than the massive molecules.

This is because they have less mass and the same amount of kinetic energy, so their velocity is higher in order to compensate for the lower mass. This means that the light molecules will have a greater speed than the massive molecules in the mixture.

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Constructive interference caused the wave's amplitude to grow significantly in comparison to the oscillator's amplitude.

A wave superimposes itself on another when two or more waves arrive at the same location. The interference of waves, more particularly, is superimposed when they meet. This is called superposition.

when two identical waves with a perfect phase match arrive at the same location. Both the crests and troughs of the two waves are identically aligned. This superposition results in only constructive interference. Pure constructive interference creates a wave with double the amplitude of the constituent waves but the same wavelength since the disturbances add up.

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The basic specifications for conductors rated up to and including 2000 volts are covered in this article  310 of NEC, together with information on their types, insulations, markings, mechanical strengths, ampacity ratings, and uses.

The removal of all references to medium voltage (Type MV) wires and cables from Article 310 in favor of a new Article 311 was one of the more important revisions. The Type MV cable specifications have also been moved out of the former Article 328 and that article has been completely deleted in the new article. The use, installation, construction requirements, and capacities for medium voltage conductors and cables will all be covered in this article. By removing all but the general criteria for wires rated up to and including 2000 volts, this was an attempt to, in part, make Article 310 more usable. As a result of this effort, the requirements for medium voltage conductors and cables have been divided into two categories: those for 0 to 2000 volts (Article 311) and those for medium voltage (Article 3110).

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An algorithm that calculates the time a train needs to arrive at a destination given speed and distance [tex]Time=\frac{Distance}{Speed}[/tex].

The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.

The maximum speed that can be maintained when a period grows closer to zero is the starting speed.

By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.

The algorithm to calculate the time required will be,

Let the distance covered by the train is D and the speed of the train be S.

Then, the time taken by the train will be,

T = D/S

Here, D is the distance and S is the speed.

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My weight on the new planet is  1400N if my weight is 700N on Earth an my mass is double to the mass on Earth.

First, we need to find my mass on earth. We know that if we have weight then mass can be easily found by using the formula

W=mg where m is the mass and g is the acceleration due to gravity

=>700=m×9.8

=>m=700/9.8

=>m=71.36Kg

Now, I have my mass on earth. It is given that my mass is just double to the mass on that planet.

So my mass on that planet=2 × 71.36Kg=142.71 kg

Now, It is given that gravitational acceleration is same on that planet as compared to gravitational acceleration on earth.

So, value of g=9.8m/sec²

Therefore, weight on new planet=142.71 kg×9.8m/sec²

                                     =>Weight=1400N

Hence, my weight on new planet is 1400N.

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At the bottom of the ramp, the box is moving at a speed of 4.24 m/s.

given:

The box weighs 5 kg in total.

The ramp's incident angle is 30 degrees.

10 Newtons of friction force

Net force is calculated using the following equation: net force = mgsin - friction force ma = mgsin - friction force a (5x5 - 10)

a = 3 m/s2 for acceleration of 5,

The motion's equation v^2 = u^2 + 2as v = 4.24 m/s is the result of the formula v2 = 0 = 2x3x3.

Friction is the force that stops motion when the surfaces of two things come into contact. In other words, friction reduces the mechanical advantage of a machine and lowers the output to input ratio. One-fourth of the energy used by a car is used to reduce friction.

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The beat frequency from two speakers is as follows:

[tex]fbeat =586 Hz-560 Hz[/tex]

[tex]=26 Hz[/tex]

Thus, the average frequency is as follows:

[tex](586 Hz+560 Hz )/2= 573 Hz[/tex]

The average frequency lies between the frequencies of the speaker, thus, the answer is No.

And, if the speakers are misaligned then, the answer can be Yes.

Beat is the pulsing that two waves with slightly differing frequencies combine to create in physics. On a piano, press a white note and the neighboring black key at the bass end of the keyboard to explain the idea of beats for sound waves. The resulting sound alternates between being mild and loud, with distinctive pulsations or throbs known as beats. Because the difference in frequency between consecutive keys is bigger at the treble end of the keyboard than it is at the lower end, the beat frequency is higher there.

The beat frequency N is the difference between the two waves' respective frequencies, which in the figure are 24 and 30 vibrations per second (Hz).

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The total rate of radiative transmission from of the roof to the rink is q 21=36881.89W.

Radiative transfer is a physical phenomena that occurs when energy is transferred through electromagnetic radiation. Absorption, emission, or scattering processes all have an impact on how radiation travels through a medium. Mathematically, these interactions are described by the radiative transfer equation.

In our numerical models, we describe solar and infrared radiation as well as how it interacts with clouds. There are several radiative processes at work in the atmosphere, including the absorption and emission of thermal radiation by gases, aerosols, cloud droplets, and ice crystals.

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Maria determines that the wavelength of a legitimate wave is 2.50 meters and that the wave is travelling at 340 m/s the frequency is mu = 136hz.

SO, the frequency of the sound wave is 136hz.Sound waves fall into 3 categories: longitudinal waves, mechanical waves, and strain waves. Keep studying to discover what qualifies them as such. Longitudinal Sound Waves - A longitudinal wave is a wave wherein the movement of the medium's debris is parallel to the path of the strength.

Here We have:

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The radial acceleration is 80.27 m/s2.

The angular acceleration of the wheel is 3.00 rad/s2. In order for the wheel to complete two revolutions, it must have an angular displacement of 2π radians. Using the equation a = ω²r, we can calculate the radial acceleration of the wheel. Here, ω is the angular velocity, which is equal to the product of angular acceleration and time, 3.00 rad/s2 × t. Since the wheel has completed two revolutions, the total time elapsed is 2π/3.00 s. Plugging in these values, we get a = 3.00 × (2π/3.00)2 × (40.0/2) = 80.27 m/s2. Therefore, the radial acceleration of the wheel is 80.27 m/s2.

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If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Gigabase pairs (GBP), 205.00 cm (cm) long, and 6.41 picograms in weight (pg). Female measurements are 6.37 GBP, 208.23 cm, and 6.51 pg.

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the number of genes contained in the genome, in this case, 40,000.

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The speed of wave is 1m/sec  if the wavelength of wave is 0.5 meters and the frequency of the wave is 2Hz.

Right when a wave goes through reflection, it essentially remains in the medium and simply switches its going of development. The smooth wave has traveled twofold its distance. This reflection characteristic of waves is consistently found in sound waves.

Right when you let out an uproarious cry inside a gorge, you regularly hear the resonation of the holler. The sound waves travel through the medium; for this present circumstance, the air and skip off the ravine wall and return to the start of the sound (you). The result is that you hear the resonation of your holler.

We know that when a electromagnetic wave is travelling through speed v passing in a medium, it contains certain speed and wavelength which is given by the formula

c=ν × λ

where c is defined as the speed of light in vacuum,

ν is  defined as the frequency of the wave and

λ is defined as the  wavelength of the wave.

Now, we have frequency(ν) = 2Hz, and wavelength(λ)=0.5meters.

So, using the above formula, we get

c=0.5×2

=>c=1m-Hz

or c=1m/sec as 1Hz=1 /sec

Hence, wave speed is 1m/sec.

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The fraction of the iceberg that is above the surface of the water is 8.3 %.

The specific gravity of any material is defined as the ratio of the density of the material to the density of water.

Mathematically, the formula for specific gravity of materials is given as;

S.G = density of the material / density of water

The given parameters include the following;

the specific gravity of the iceberg = 0.917

the specific gravity of the seawater = 1.025

The fraction of the iceberg submerged in the seawater is given as ;

= 0.917 = 0.917 x 100 %

= 91.7 %

The fraction of the iceberg that is above the surface of the water is calculated as;

= 1 - 0.917

= 0.083

= 0.083 x 100 %

= 8.3 %

Thus, the fraction of the iceberg submerged in the water is a function of the specific gravity of the iceberg.

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The magnitude of the electric field is  379.4 N/C

The magnitude of the electric field,

I = P/A

Ie = 1/2 εoc[tex]E^{2}[/tex]

Ie = 1/2 I  = 1/2 × 382.165

Ie = 191.8 w/m²

191.8 = 1/2 × 8.85 × [tex]10^{-12}[/tex] × 3 × [tex]10^{8}[/tex] × [tex]E^{2}[/tex]

E = 379.4 N/C

An electric field, often known as an E-field[1], is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to any other charged particles in the vicinity. [2] A system of charged particles' physical field is also referred to in this phrase. [3] Charges and time-varying currents in electric systems give rise to electric fields. A manifestation of the electromagnetic field, one of the four fundamental interactions (sometimes known as forces) of nature, is electromagnetic fields, which also include electric and magnetic fields.

Many branches of physics place a premium on electric fields, which are also used to great effect in modern electrical engineering. The attractive force holding the atomic nucleus and electrons together in an atom, for example, is the electric field in atomic physics and chemistry. The force that causes atoms to connect chemically is another function of it.

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Mechanical power that the engine deliver if it absorbs 1.60 ✕ 105 J of energy each second from the hot reservoir is calculated as  6.72 kW.

The Carnot engine is a theoretical thermodynamic cycle that estimates maximum possible efficiency that heat engine during the conversion process of heat into work and working between two reservoirs can possess.

As we know that, E c = 1 - Tc/ Th

=1− (2143.15/703.15)

​=0.672

=67.2%

(b) The output power of engine is given as : P= W Eng./ Δt

So, P= c ∣Qh∣ / Δt

= 0.42 * 1.60 ✕ 10⁵/1

Therefore, Mechanical power that the engine delivers = 6.72 * 10³W

= 6.72 kW

​

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The part of body detects infrared radiation is skin.

Infrared radiation is an integral part of the electromagnetic spectrum. The light we see is part of the same spectrum.

Rays such as gamma rays, alpha rays, and x-rays are also part of the spectrum.

It has direct source of sunlight.

It is invisible but experienced by sense of hotness. It is used for drying of chemical crystals and also has wide application in photography where atmospheric conditions like sunlight , rainfall  or adverse climate conditions are neglected and providing a good result for geospatial and geoinformatics.

[tex]Eo/Bo=c[/tex]

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In the absence of air resistance, an angle of 15 degrees is required for a ball to be thrown to go the same distance as one thrown at an angle of 75 degrees.

A projectile is an object that is launched into the air and then moves only in response to the acceleration of gravity. The trajectory of the object is referred to as the projectile's trajectory.

As is common knowledge, the projectile's motion range is determined by;

  R = v²sin(2θ)/g

Here, we know that the range for two different angles will be the same.

Consequently, we can state that the two angles must be complementary.

hence, the two angles must be

θ, 90 - θ

In light of the fact that one projection angle is 75 degrees

Therefore, the second angle over the same range must be 90 - 75 = 15 degrees.

hence another projection angle of 15 degrees is required.

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There will be two possibilities for this answer-

A) The sunken lead displaces a volume of water equal to the lead's own volume.

C) The sunken lead displaces a volume of water whose weight equals the lead's weight.

To understand the phenomenon, we should first know that the above concept is based on the principle of Archimedes.

⇒ Archimedes Principle states -

Now according to the condition given in the question, we could say that firstly the lead was sunken in water completely then the lead was placed in a boat of negligible mass to float on the water. When the lead along with the boat is placed in the water it displaces the water or exerts pressure on the water due to its weight and in turn the water also exerts the same pressure on the lead to counter the force.

The boat along with the lead on it follows the Archimedes principle and therefore, we can say that the sunken lead displaces a volume of water equal to the lead's own volume and at the same time the part of the lead that is submerged in water also displaces a volume of water whose weight equals the lead's weight.

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The floating lead moves a water volume with a weight equivalent to the lead's weight, whereas the submerged lead moves a water volume with a volume equal to a lead's own volume.

As a fundamental property of all matter, inertia can be quantified in physics as mass.In its simplest form, it describes a body of object's resistance to altering its speed or position in reaction to the load exerted to it.

mass.[măs] A measurement of the volume of matter in or making up a physical body.In classical mechanics, an object's mass is crucial to Newton's motion laws because it influences the force needed to accelerate it and, consequently, how much inertia it has.

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The cost to leave the bulb on for the whole month $3.46 is

When the voltage rises while the current stays the same, the resistance also rises. Alternately, if the voltage is held constant while the current increases, the resistance will decrease.

Energy is characterized as having the "ability to do work, which is the capacity to exert a force sufficient to move an object." Despite this unclear definition, the meaning is actually quite straightforward: energy is simply the force that moves things.

Energy = power × time

Energy = 60w × 1month × 30days/1month×24hrs/1day ×1kw/1000w

Energy = 43.2kw.h

Cost = energy × rate

Cost = 43.2×$0.8kw/h

Cost = $3.46.

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V rms (in m/s) for helium atoms at 4.85 k, less than one degree above helium's liquefaction temperature is calculated as 173.84 m/s.

Speed of the molecules in a gas is directly proportional to the temperature and inversely proportional to molar mass of the gas. We can also say that, as the temperature of a sample of gas is increased, molecules speed up then the root mean square molecular speed also increases.

As we know that, V rms = √3 KT/M he

Given T= 4.85 K, K= 1.38 *10^-23 and M he is 6.644 *10^-27.

=√ 3 * 1.38 *10^-23 * 4.85 / 6.644 *10^-27

V rms for helium atoms = 173.84 m/s

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The Second Law of Thermodynamics states that no heat engine can operate at 100% thermal efficiency (). This is impractical because heat engines always produce some waste heat, as depicted in Figure 1 by the word.

Which of the following engines operates at its optimal efficiency?

The most effective heat engine between these two temperatures is a Carnot engine, which operates between these two temperatures.

Which heat engine is the most effective?

The Carnot engine operates between two temperatures with the highest efficiency of any heat engine.

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This is because the phenomenon of static electricity requires the separation of positive and negative charges. When two substances are in contact electrons are transferred from one to the other leaving one with an excess positive charge and the other with an equal negative charge.

There are equal numbers of positive and negative charges so an object is electrically neutral. Because the phenomenon of static electricity requires the separation of positive and negative charges. When two substances are in contact electrons are transferred from one to the other leaving one with an excess positive charge and the other with an equal negative charge.

The negative charge on the earth's surface is balanced by the same positive charge in the atmosphere. An atom has a net positive charge if the number of protons is greater than the number of electrons, and a net negative charge if the number of electrons is greater than the number of protons.

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5 Kg will have a greater acclaration thus it will strike before 1 kg ball.

There are two cases

(Assuming same shape of both objects)

Without air

With air

Without air, In this case they will fall on ground at same exact time.

Because earth will give an equal acclaration to both the masses.

With air

In this case they will have force of M×g ('M' is their respective mass of each)

but impulsive force is constant so it will give different acclaration to both masses that will be :-

M×a = M×g - I(n)

(Here 'a' is acclaration 'I(n)' is impulsive force by the normal of air particle as they collide with the masses)

Thus :-

a = g - (I÷M)

As mass increase acceleration will be less decreased so

5 Kg will have a greater acclaration thus it will strike before 1 kg ball.

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The frequency of a wave is B)20Hertz that has a speed of 0.4m/sec and a wavelength of 0.020meter.So,correct option is B.

Precisely when a wave goes through reflection, it basically stays in the medium and just switches its going of improvement. The smooth wave has voyaged twofold its distance. This reflection normal for waves is reliably tracked down in sound waves.

Precisely when you let out a riotous cry inside a crevasse, you constantly hear the resounding of the holler. The sound waves travel through the medium; for this current situation, the air and sway off the gorge wall and return to the beginning of the sound (you). The outcome is that you hear the reverberation of your holler.

We know that when an electromagnetic wave is going through speed v passing in a medium, it contains explicit speed and recurrence which is given by the articulation

c=ν × λ

where c is defined as the speed of light in vacuum,

ν is the defined as the frequency of the wave and

λ is the defined as the wavelength of the wave.

Now, we have c=0.4m/sec,λ=0.020meter,ν=?

So, putting the value in above formula, we get

=>0.4 = ν × 0.020

=> ν=0.4/0.020

=>ν=4000/20

=>v=20Hertz

Hence, option B is correct.

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The weight of the body on the surface of moon is 130 Newton.

If the mass of an object on the surface of earth is 80 kg.

Then the weight of the object on the moon will be given by the relation,

W = Mg

Where,

W is the weight on the moon,

M is the mass of the object on the surface of Earth,

g is the acceleration due to gravity on the surface of moon.

The acceleration due to gravity on the surface of moon is 1.65m/s².

Now assigning all the values to the respective terms,

W = 80×1.625

W = 130N.

So, the weight of the object on the surface of moon is 130 Newton.

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These oscillations are robust and the final outcome does not depend on the initial condition, as the system will move to the limit cycle attractor.

These oscillations are robust and the final outcome does not depend on the initial condition.

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The boy pushes a box across the floor by exerting a force of 140 N at an angle of 35° below the horizontal. The magnitude of vertical component of the applied force is 80.36 N.

In two dimensional system, a force can be resolved into two mutually perpendicular components whose vector sum will be equal to the applied force. The resolved components are usually taken to be parallel to x and y axes.

A single force can be broken down into two component forces at right angles to each other.

Given that, Force = 140 N

θ = 35°

The magnitude of vertical component of force is F sin θ = 140* sin 35° = 140* 0.574 = 80.36 N

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