A block of substance has a width of 4.9 cm, a length of 5.1 cm, and height of 1.9 cm . Its mass is 0.54 kg. Calculate the density of the substance.

Answers

Answer 1

The  4.7 g/cm3 is  the density of the substance.

What is density ?

How tightly something is packed can be used to gauge a material's density. Formally, it is defined as the mass per unit of volume. Formula for Density or Density Symbol: D D = m/V, where m is mass and V is volume, stands for density.

What is mass ?

The most basic characteristic of matter, it is one of the fundamental quantities in physics. As a way to gauge how much matter is there in a body, we might use the term mass. Kilograms are the SI unit of mass (kg).

density = mass of sample/ volume of sample

mass = 1.5 kg = 1500 g

volume = W*L*H

Vol = 3.2*17.1*5.8 cm3 = 317.376 cm3

Now,

D = mass/V = 1500/317.376

D = 4.726255 g/cm3

=4.7 g/cm3

Therefore, 4.7 g/cm3 is  the density of the substance.

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Related Questions

The amplitude of pulse A is 20 cm and that of pulse B is 10 Cm what is the minimum amplitude of the resultant pulse

Answers

The minimum amplitude of the resultant pulse is 10 cm.

What is amplitude of a pulse?

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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1/lambda = R (1/m^2 - 1/n^2) If m =1, in what range are the wavelengths calculated from the generalized formula shown above? and if m =3, in what range are the wavelengths calculated from the generalized formula shown above? microwave (1 to 10^-4m) infrared ( 10^-3 to 7*10^-7m) visible (7*10^-7 to 4*10^-7m) ultraviolet (4*10^-7 to 10^-8m) X rays (10^-8 to 10^-13m)

Answers

The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).

The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)

Rydberg constant, R = 1.097 x 107 m-1

1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107

Wavelength, λ = 1.215 x 10-7 m

When m = 1 and n = ∞

, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107

Wavelength, λ = 0.911 x 10-7 m

The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)

2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107

Wavelength, λ = 18.7 x 10-7 m

When m = 3 and n = ∞

1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107

Wavelength, λ = 8.20 x 10-7 m

The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)

In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.

Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.

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what is the equation linking current, potential difference and voltage

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Put your finger over P to compute power; this leaves I and V; hence, P = I x V.

What connection exists between voltage and potential difference?

The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.

What is a potential difference?

Difference that might exist at all between the two points The amount of work required to move a unit positive charge along any path through one point to another without accelerating is referred to as the electric field.

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The Jendrassik maneuver is sometimes used when a subject needs to be distracted, and usually results in a larger reflex test response. Was this true for you? Explain what happened

Answers

he JM will heighten (exaggerate) lower limb tendon reflexes by countering some of the normal descending inhibition the brain sends to the reflex arc.

What happens during the Jendrassik maneuver?

A medical technique called the Jendrassik manoeuvre involves the patient clenching their teeth, flexing both sets of fingers into a hook-like shape, and interlocking those sets of fingers. The patellar reflex is then induced by striking the tendon below the patient's knee with a reflex hammer.

When the technique is not being used, the reflex outcome of the same movement is compared to the induced reaction. When a patient is focused on the technique, a bigger reflex reaction is frequently seen: "Afferent activity brought on by such muscle tension may activate a weak or seemingly absent reflex.

This is the actual justification for the procedure, not that it is intended to divert the patient's attention, a common misperception that persists to this day." This result

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A long string is stretched and its left end is oscillated upward and downward. Two points on the string are labeled A and B. Points A and B are indicated on the string. Orient the two vectors, vA-> and vB-> to correctly represent the direction of the wave velocity at points A and B. rotate the given vectors to indicate the direction of the wave velocity at the indicated points. (Please draw a picture of the end result)

Answers

A lengthy string is simple to stretch. The string's two designated spots, A and B, should be at an angle of 90 degrees with the same magnitude, and B should be at an angle of 270 degrees with the same magnitude.

Angle magnitude definition

This is referred to as the amount of rotation that is believed to have been applied to one of the arms' vertex in order to produce a specific position for the other.

It is well known that equal vectors have the same magnitude and direction. When the magnitude and direction of two vectors are the same, they are said to be equal.

|v|=a2+b2 yields the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis.

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What is the hypothesis of thermal energy transfer?

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The heat transfer theory attempts to anticipate the energy transfer that may occur between material bodies as a result of temperature differential. Conduction, convection, and radiation are the three processes through which heat may be moved from one location to another.

Heat transfer is a thermal engineering subject that deals with the creation, consumption, conversion, and exchange of thermal energy (heat) across physical systems.

Heat transmission techniques include thermal conduction, thermal convection, thermal radiation, and energy transfer via phase shifts. To achieve heat transfer, engineers also address the transfer of mass of different chemical species (mass transfer in the form of advection), either cold or hot. While these processes have separate properties, they frequently occur in the same system at the same time.

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2. An airboat with mass 3.50 x 102 kg, including the passenger, has an engine that produces a net horizontal force of 7.70 x 102 N, after accounting for forces resistance. a. Find the acceleration of the airboat b. Starting from rest, how long does it take the airboat to reach a speed of 12.0 m/s2

Answers

The acceleration of the airboat which has a mass of 350 kg is 2.2 m/s²

The time the airboat takes to reach the speed of 12 m/s is 5.45 seconds

The mass of the airboat = 350 kg

The net horizontal force of the airboat = 770 N

The acceleration of the airboat can be found using the formula,

         F = ma

where F is the force

           m is the mass

           a is the acceleration

Let us rearrange the above equation, we get

          a = F/m

Let us substitute the known values in the above equation, we get

           a = 770 / 350

              = 2.2 m/s²

The time taken to reach the speed of 12 m/s is

               a = v/t

where a is the acceleration

           v is the velocity

           t is the time taken

Let us rearrange the equation, we get

          t = v/a

Let us substitute the known values in the above equation, we get

          t = 12 / 2.2

           = 5.45 seconds

           

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The Sun's path, as viewed from the equator, is highest in the sky on _____. A) the spring and fall equinoxes B) the winter solstice. C) the summer solstice D) the day when Earth is closest to the Sun

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The correct option is A, the Sun's path, as viewed from the equator, is highest in the sky on the spring and fall equinoxes.

Fall equinox is an astronomical event that marks the transition from summer to autumn in the Northern Hemisphere and from winter to spring in the Southern Hemisphere. On the day of the fall equinox, the sun rises directly in the east and sets directly in the west. This marks the end of the summer season and the beginning of the autumn season. During the fall equinox, all areas of the Earth experience nearly the same amount of daylight and darkness.  

The fall equinox occurs in the middle of September in the Northern Hemisphere and in the middle of March in the Southern Hemisphere. It is the first day of autumn and the last day of summer in the Northern Hemisphere and the first day of spring and the last day of winter in the Southern Hemisphere.

The fall equinox marks the return of balance after the summer solstice, during which the days are the longest and the nights are the shortest. During the fall equinox, the day and night are of equal length and the sun is directly over the equator. After the fall equinox, the days become gradually shorter and the nights become gradually longer.

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ANSWER NOW 100 POINTS!!
Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?

Answers

Answer:

a = v2/r, for an object moving with a constant speed, v, around a circle of radius, r. We will also verify that the direction of the acceleration vector is toward the center of the circle.

substitute your numbers into the formula

5.0 = v2/45.0

then cross multiply to get your final answer

a person who believes that nothing is known or can be known of the existence or nature of God or of anything beyond material phenomena; a person who claims neither faith nor disbelief in God.

Answers

a person who is neutral (neither believes nor disbelieves in God) is agnostic

In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.

Answers

the following blanks are gravitational potential energy and kinetic energy

Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.

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A grocery shopper tosses a(n) 9.0 kg bag of rice into a stationary 19.1 kg grocery cart. The bag hits the cart with a horizontal speed of 6.7 m/s toward the front of the cart. What is the final speed of the cart and bag

Answers

The speed with which the cart and bag move after the collision is equal to 2.14 m/s.

Given the following data:

   Mass of bag = 9.0 kg

   Speed of bag = 6.7 m/s

   Mass of cart = 19.1 kg

  Speed of cart = 0 m/s (since it is initially at rest or stationary).

To calculate the final speed with which the cart and bag move after the collision:

Applying the law of conservation of momentum, the collision between the cart and bag is given by the formula:

Where:

M is the mass.

V is the velocity.

Substituting the given parameters into the formula, we have;

9.0 × 6.7 + 19.1 × 0 = Vf  (9+19.1)

60.3 =  vf (28.1)

vf = 60.3/28.1

vf = 2.14 m / s

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how many electrons are on the move in a circuit where a current of 2.0 A flows for 2.0 minutes?

Answers

The number of electrons that move in a circuit where a current of 2.0 A flows for 2.0 minutes will be [tex]1.5X10^2^2[/tex]. The correct option is C.

What is current?

Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current.

A current of 2A passes through a wire for 20 minutes. The number of electrons that crossed the cross-section in this period is

Given that,

Current =2A

Time t= 20min = 20×60s

Let,

n and e be the number and charge of electrons in time t.

So,

The total charge, q(say) in the wire is

q = ne

Hence, the current flowing in time t is

I = q/t

I = ne/t

n = It/e

[tex]n=\frac{2(20X60)}{1.6X10^{-19}} \\\\n=\frac{2400}{1.6X10^{-19}}\\\\n=1.5X10^{22}[/tex]

Thus, the answer is [tex]1.5X10^2^2[/tex], means the correct option is C.

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Your question seems incomplete, the missing options are:

[tex]1.5X10^{21}\\\\1.5X10^{20}\\\\1.5X10^{22}\\\\1.5X10^{21}\\\\1.5X10^{23}[/tex]

the force exerted on the rope by the ceiling is in the _____ direction.

Answers

The force exerted on the rope by the ceiling is in the vertical direction. This means that the force is pushing straight down on the rope and is perpendicular to the plane of the ceiling.

The force exerted on the rope by the ceiling is the result of the gravity of the rope itself and the weight of any objects or materials that are attached to the rope.

In order for the force to remain in the vertical direction, the rope must be secured at the top of the ceiling and not allowed to move in any other direction. If the rope were to move in any other direction, the force exerted on the rope by the ceiling would no longer be in the vertical direction and the rope would no longer remain secure.

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A car at rest with respect to a building can be in motion with respect to another observer. True/False. Please explain your answer

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The given statement is true because an object at rest with respect to one object can be in motion with respect to another motion

If you pound a feather with a hammer, which one feels a greater force? a. always the hammer both feather moves, then it felt the greater force. b. therwise the force the same on both. c. always the feather d. The size of the force is always exactly the same on both of them.

Answers

If you pound a feather with a hammer, which one feels a greater force always the hammer both feather moves, then it felt the greater force.

What is the force?
Force is an influence that produces a change in the motion of an object. It is measured in units of mass times acceleration, or newtons (N). Force is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, remain in motion, change direction, or alter shape. Examples of forces include gravity, friction, tension, and magnetism. Forces can also be generated by electrical, thermal, and nuclear energy. All forces are generated by the interaction of two objects and can be balanced or unbalanced. Unbalanced forces will cause an object to move or accelerate and balanced forces will cause an object to remain stationary or in motion at a constant speed.

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he cars mass was only 111 kg. Suppose two of these cars are used in a stunt crash for an action film. If one car's initial velocity is 9.00 m/s to the right and the other car's velocity is 5.00 m/s to the left, how much kinetic energy is discinated in the crash

Answers

In the crash 5883 Joule kinetic energy is discinated when two of these cars are used in a stunt crash for an action film.

How do you use start kinetic energy to calculate end kinetic energy?

Final kinetic energy (KE) is equal to 1/2 m1v'12 + 1/2 m2v'22 , or joules. The end kinetic energy for common things will be lower than the starting point. The only way you can increase kinetic energy is if the impact causes an energy release of some type.

How can total kinetic energy be calculated?

As a result, the kinetic energy equation states that it is equal to 1/2 the object's mass times the magnitude of its velocity squared, or speed squared.

Initial kinetic energy KE,

[tex]KE=1/2 m_1v_1^2 + 1/2 m_2v_2^2[/tex]

[tex]KE=1/2 (111)(9.00)^2 + 1/2 (111)(5.00)^2[/tex]

[tex]KE= 4495.5+1387.5[/tex]

[tex]KE= 5883J[/tex]

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Body of an earthworm is divided into rings/ metamers. It moves with the help of two muscles: longitudinal and circular muscles. Which of the following activity is done by earthworm during its movement?

(OPTIONs)

→ Swallow the soil it moves

→ Grip the soil firmly at one end

→ Make the soil moist and slippery

→ Break the soil into smaller particles

Answers

Swallow the soil it moves and Break the soil into smaller particles.

What is movement in earthworm?

They don't have bones or other fixed features that might restrict their movement. The body of an earthworm is segmented. Earthworms use the setae, or tiny bristles, that are present on each segment, to assist them hold the dirt as they travel.

An earthworm uses two distinct sets of muscles to move. Longitudinal muscles run the length of the body, while circular muscles loop around each segment. The earthworm extends as a result of the circular muscles contracting, growing longer and thinner.

The earthworm embeds the front of its body in the dirt using its setae. The earthworm now contracts its longitudinal muscles, either making it shorter and wider.

Therefore, Swallow the soil it moves and Break the soil into smaller particles.

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If the material fails when the average normal stress reaches 120 psi, determine the largest centrally applied vertical load p the block can support

Answers

Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.

What is meant by material?Objects are made of material, which is a substance or combination of substances. Material can be either pure or impure, made of living things or inanimate objects. Materials can be categorized based on their chemical and physical makeup, as well as their geological or biological origin.The term "material" describes a substance used to create another object. Cloth or other things made of matter that are real-world objects are likewise considered to be materials. The adjective and noun material can be used in a wide variety of contexts.Students can choose to specialize in materials physics as part of their physics degree, which prepares them for high-tech jobs in fields including optical fibers, alternative energy sources, communications, transportation, electronics, and medicine.

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A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13. 6 mm and the potential difference between electrodes is 264 V.


(a) Determine the value of C. C = V/m4/3

(b) Obtain a formula for the electric field between the electrodes as a function of x. (Use your result from part(a). Use the following as necessary: x. ) Ex =_________.

(c) Determine the force on an electron when the electron is halfway between the electrodes. F = N

Answers

To determine the value of C, we can use the equation provided: V(x) = Cx^4/3, where x is the distance from the cathode. V(x) = C(13.6 mm)^4/3 = 264V. So, C = 264V / (13.6mm)^4/3

How do you obtain a formula for the electric field between the electrodes as a function of x?

To obtain a formula for the electric field between the electrodes as a function of x, we can use the equation: Ex = -dV/dx

Substituting the equation for V(x) and the value of C obtained in part (a) into the equation:

Ex = -dV/dx = -(d/dx)(Cx^4/3) = -(4/3)Cx^(4/3)

How do you Determine the force on an electron?

To determine the force on an electron when the electron is halfway between the electrodes, we can use the equation: F = qE

where q is the charge of the electron and E is the electric field at that point. Since the force on an electron is equal to the electric field multiplied by the charge of the electron, we can substitute the value of E obtained in part (b) and the charge of the electron, 1.6 x 10^-19 C, into the equation

F = qE = (1.6 x 10^-19 C) * (-(4/3)C

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Which of the following statements regarding heat is accurate? NEED ASAP

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Heat is a form of energy

two students are sitting next to each other on chairs with wheels. They push each other and separate in opposite directions. The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s. How fast and in what direction does the other student with a 59-kg mass move?

Answers

The student with a 59-kg mass moves to the right with a velocity of 1.46 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.

The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s.

Let the student with a mass of 59 kg moves to the left with a velocity of v m/s.

As no external force applied,

48 kg × 1.8 m/s + 59 kg × v = 0

v = - 1.8 × (48/59) m/s

= - 1.46 m/s.

Hence, the velocity of the second bay is 1.46 m/s in right direct.

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The power needed to accelerate a projectile from rest to its launch speed v in a time t is 39.4 W. How much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of

Answers

The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.

Calculation-

power P = work/time

= ½mv² / t

P' = ½m(2v)²/t

= 4 * ½mv² / t

= 4 * P

so

P' = 4 * 54.9W

= 219.6 W  (or 220 W rounded off)

What is the projectile's acceleration at the pinnacle of its trajectory?

As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.

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Margy is trying to improve her cardio endurance by performing an exercise in which she alternates walking and running 100.0 m each. If Margy is walking at 1.4 m/s and accelerates at 0.20 m/s2 during one of the running portions, what is her final velocity at the end of the 100.0 m

Answers

She moves at 6.5 m/s as her final speed after running 100 meters.

Acceleration or velocity, according to m/s 2?

The velocity change of an object per unit of time is known as acceleration. Amounts of acceleration are measured in meters per second squared (m/s2), the SI unit of acceleration. For instance, due to Earth's gravity, a falling object accelerates at a rate of 9.8 m/s2.

A straight-line motion issue looks something like this. These formulas are used to determine the final velocity:

s = Vo*t + (1/2)*a*at2, and Vf = Vo + at

Where:

Vf = = final speed =?

1.4 m/s is the initial velocity, and 0.20 m/s is the acceleration.

100m displacement in 2 seconds.

the first equation is changed by:

100 = 1.4t + (1/2)*0.2*t^2\st = 25.388s

Vf = 1.4 + 0.2 can be used as a replacement in the second equation.

Vf = 6.5m/s

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What is the difference between the weight of an object and the mass of an object?

Answers

A body's mass is the total amount of its material. Gravitational pull on a body is represented by weight.

What is the difference between mass and weight?

The relationship between mass and weight Mass is a measure of inertia, whereas weight is a measure of force.

Both of these names are frequently used in the same sentence. Calculating how much matter a body contains requires knowing its mass.

Weight is a unit of measurement for the force that gravity's acceleration has on a mass.

Weight is a measurement of how the force of gravity works upon a mass, whereas mass is a measure of the amount of matter in a material.

In order to determine how much matter a body contains, we need to use its mass.

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Select the correct answer. if you have a heat engine with a hot reservoir of 515 k and a cold reservoir of 190 k, what is the maximum possible thermal efficiency of the system?
a. 63.1%
b. 75.2%
c. 52.1%
d. 67.9%

Answers

The maximum possible thermal efficiency of the system is d. 67.9%.

By utilizing the physics of heat engines and Second Law of Thermodynamics, we can calculate that the maximum achievable efficiency of a heat engine with a hot reservoir at 515 k and a cold reservoir at 190 k is 67.9%.

This result serves as an upper limit for all practical engines, regardless of the specifics of their design or engineering capabilities.

Making this maximum efficiency is possible through improvements in technology and increased knowledge on thermodynamics and energy production.

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Answer: A.

63.1%

Explanation: edmentum

Electricity travels in closed circuits, and its normal route is through a conductor. Electric shock occurs when:

Answers

Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.

What do you mean by "electric shock"?

Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit. This can happen when the person comes into contact with a live conductor, such as a wire carrying an electrical current, or when the person becomes part of the circuit, such as by touching both a live wire and a ground.

Electric shock can cause a range of symptoms depending on the severity and duration of the exposure, including muscle contractions, burns, internal injuries, and in severe cases, cardiac arrest or death. Electric shocks can also cause electrical burns which can be serious.

When a person comes into contact with a current, it can cause an electric shock, which can range in severity from a mild tingling sensation to severe injury or death. Factors that determine the severity of an electric shock include the amount of current flowing through the body, the duration of contact with the current, and the path the current takes through the body.

It is important to note that Electric shock can be prevented by following safety guidelines and by using proper safety equipment when working with electrical equipment and circuits.

Hence, Electric shock occurs when a person comes into contact with a current flowing through an electrical circuit.

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What additional kind of energy makes Cv larger for a diatomic gas than for a monatomic one?
O Charismatic energy
O Translational energy
O Heat energy
O Rotational energy
O Solar energy

Answers

Answer:

translational energy

Explanation:

because is diatomic

In 2009, there were 3,494 radio stations across the united states. Radio became a common device for transmitting and receiving signals?

Answers

In the United States, there were 3,494 radio broadcasting stations in 2009. Radio reaches approximately 68 percent of American customers aged 12 and older on average each day, and 236 million people listen to radio every week, according to records.

Since their beginnings at the turn of the 20th century, radio stations in the United States have changed. Following the establishment of 8MK in Detroit in 1920, thousands of private and public radio stations have operated across the country. There are several different ways to organise the lists of radio stations in the US.

The Federal Communications Commission oversees radio transmission in the US (FCC). Various broadcasting services, including the following, have been produced under the AM broadcast band, which runs from 540 to 1700 kHz, is where radio transmission initially gained popularity in the 1920s.

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Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2keQ / a2. What are the two possible values of the unknown charge?

I honestly have absolutely no idea where to begin solving this problem. I know the equation for the electric field (kQ/r2), but I have no idea how to work with the information given to get a net electric force. Can anyone show me where to start?

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Two charged particles are located on the x axis.

What are charged particles?

Charged particles are particles that have either a positive or negative electrical charge. These particles can be found in many forms in nature, such as electrons, protons, and ions. These particles are a key component of electricity, and can be used as a source of energy. Charged particles can be found in atoms and molecules, where they interact with other particles and affect their behavior. They can also be found in plasma, a state of matter that is made up of ions and electrons.

1. Start by writing out the equation for the electric field at the origin:

E = (kQ)/r^2

2. Substitute in the values for Q, k, and r, and solve for the unknown charge:

E = (2keQ)/a^2

E = (2k(+Q))/(3a)^2

+Q = (2kE)/(3a)^2

Since the electric field has a magnitude of 2keQ / a2, the unknown charge can be either positive or negative:

+Q = ±(2kE)/(3a)^2

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