how high (in m) a hill can a car coast up (engine disengaged) if friction is negligible and its initial speed is 108 km/h?

Answers

Answer 1

High (in m) a hill can a car coast up is  45.92m, if friction is negligible and its initial speed is 108 km/h

Initial velocity V = 108 Km/hr

V = 30m/s

Let mass of car m

Kinetic energy = 1/2 m[tex]v^{2}[/tex]

potential energy = mgh

by energy conservation,

h = [tex]v^{2}[/tex]/2g  = 45.92m

Friction is the force preventing moving in the same direction between moving components of solid surfaces, fluid layers, and sliding materials. There are numerous types of friction:

Dry friction prevents the relative lateral motion of two in touch solid surfaces. Static friction (also known as "stiction") occurs between stationary surfaces and is further subdivided into kinetic friction (also known as "stiction") between moving surfaces. Except for atomic or molecule friction, the interaction of surface features known as asperities is the main cause of dry friction (see Figure 1).

Fluid friction can occur when layers of a viscous fluid move in close proximity to one another. Lubricated friction is the friction between two solid surfaces that is caused by a lubricating fluid.

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Related Questions

When a wave is reflected on a plane, the
angle of incidence is which of the following?
The angle between the incoming light
and the normal
The angle between the outgoing light and
the plane
The angle between the outgoing light and
the normal
/ 1
The angle between the incoming light
and the plane

Answers

Answer:

1

Explanation:

Answer:

The angle between the incoming light

and the normal

a person with a black belt in karate has a fist that has a mass of 0.70 kg. starting from rest, this fist attains a velocity of 8.0 m/s in 0.15 s. what is the magnitude of the average net force applied to the fist to achieve this level of performance?

Answers

Magnitude of the average net force applied to the fist is 37.3 W.

a= DV/DT

= 8 / 0.15

= 53 m/s2

EF = (0.7)(53) = 37.3 W

Velocity is described as a vector measurement of the charge and path of motion. Placed truly, speed is the velocity at which something moves in one course. The velocity of an automobile travelling north on a chief parkway and the velocity of a rocket launching into the area can each be measured using speed.

Uniform velocity: A body is stated to be shifting with uniform speed if its average pace among any two factors along its course is equal in importance as well as path.

The SI unit of velocity is metre per/sec (m/s).

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which of the following ideas is not a consequence of the quantum revolution? all tiny particles, like photons, have a dual wave-particle nature. particles of matter and antimatter completely annihilate each other, producing energy, when they meet. the force of gravity is a result of the curvature of spacetime. particles belong to two categories: fermions and bosons. quantum degeneracy pressure can prevent the core of a star from collapsing.

Answers

The idea that is not consequence of quantum revolution is particles of matter and antimatter completely annihilate each other, producing energy, when they meet.

Matter and antimatter meet in a process called annihilation. Both particles disappear after meeting. The mass of both particles is immediately converted into energy in this reaction. The resulting energy is usually a photon, which is a single particle of light. The annihilation process is also reversible. In the presence of a sufficiently large amount of energy, both matter and antimatter can be created. This is part of the big bang theory. A large enough amount of energy produced the matter that created the universe. All the antimatter produced during the Big Bang was destroyed in the presence of matter. However, this does not explain why the universe has so much matter and why everything we know about it is made of matter and not antimatter. It was theoretically possible that everything known could have been formed from antimatter instead, and scientists aren't sure why matter forms a galaxy instead of antimatter.

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a student pushes a 51.5 kilogram bookshelf across a smooth floor with a net force of 67 n. what is the approximate acceleration of the bookshelf?

Answers

The acceleration of the bookshelf is equal to 1.30 [tex]m/s^{2}[/tex] when student is trying to push.

Acceleration, rate or speed at which speed adjustments with time, in phrases of each velocity and direction. A factor or an item transferring in a instantly line is elevated if it accelerates or slows down. Acceleration (a) is the extrade in speed (Δv) over the extrade in time (Δt), is referred with the aid of using the equation a = Δv/Δt.

This lets in you to degree how rapid speed adjustments in meters in line with 2d squared. Mainly, Uniform acceleration, non-uniform acceleration, and common acceleration are the 3 styles of elevated motions. The time period uniform acceleration refers to a movement in which an item travels in a instantly line with an growth in speed at same durations of time.

Data: Mass of bookshelf = 51.5 kilogram

Net pressure =  67 Newton

To decide the acceleration of the bookshelf, we'd observe Newton's Second Law of Motion:

Newton's Second Law states that the acceleration of an item is at once proportional to the internet pressure appearing at the item even as being inversely proportional to its mass.

Mathematically, Newton's Second Law of Motion is given via way of means of this formula:

a = f/a

Substituting the given parameters into the formula, we have:

a = 67/51.5

Acceleration = 1.30 [tex]m/s^{2}[/tex].

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Which of the following field is used by the EM waves?
a) Solar field
b) Polarized field
c) Electric field
d) Micro field

Answers

Answer:

d

Explanation:

In an electromagnetic field, the electric and magnetic fields are present in the form of waves in horizontal and vertical patterns. In order to be present in that pattern, it is necessary to have maximum amplitude.

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if column a gets heated what happens to the ball

Answers

Answer:-A metal ball is made up of atoms having minimum interatomic distance, so when we heat the metal its atoms actually vibrate about their mean position and thus colliding with neighboring atoms and making them to vibrate, due to this continuation process metals size increases or metal expands on heating.

When heat is added to a substance, the molecules and atoms vibrate faster. As atoms vibrate faster, the space between atoms increases. The motion and spacing of the particles determines the state of matter of the substance. The end result of increased molecular motion is that the object expands and takes up more space                                                                         “Steel will expand from 0.06 percent to 0.07 percent in length for each 100oF rise in temperature. The expansion rate increases as the temperature rises. Heated to 1,000oF, a steel member will expand 9½ inches over 100 feet of length When a metal ring is heated both inner and outer radii increase. This can be understood better by visualizing that the ring in reality is a rod bent into a circle. That rod will expand upon heating. The same bar bent into a ring thus also expands.

Which of the following is the process of making a new product to be sold by a business or enterprise to its customers? a.product analysis
b.product conceptualization
c.product development
d.product implementation

Answers

Answer: option (c)

Explanation:

Product development is also known as new product operation.

The main ideal is to satisfy the consumer demand.

There are some stages of product development process. They're idea generation, webbing, conception development and testing, request strategy, developing the new product, request testing, request commercialization.

The process of developing a product is managed by product inventor.

Product development can be done in two ways, the new product is introduced or the being products can be bettered according to the client satisfaction.

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a spotlight on the ground is shining on a wall 12m away. if a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 2m from the building?

Answers

0.133 m/sec speed is the length of her shadow on the building decreasing when she is 2m from the building

What is speed?

The quantity of anything that happens or changes in a unit of time is referred to as its rate. You can determine an object's speed if you know how far it moves in a specific length of time. The distance an object travels in a given amount of time is its speed.

Let, x be the distance of the women from the spotlight.

s be the length of the woman on wall / building

these two variables changes when time changes.

Now, consider a triangle,

tan θ = 2/x

tan θ = s/12

As the θ is same, so

or, 2/x = s/12

or, sx = 24

or, s = 24/x .......... (i)

Differentiating w.r.t "t"

or, ds/dt = -24/x² dx/dt .......... (ii)

we want rate of change of length of shadow w.r.t time.

or, 12-x = 4

or, x = 8m

we know, dx/dt = (0.8) m/sec

Substitute this in equation (ii)

ds/dt = [(-24) /(12)²] × (0.8)

ds/dt = - 0.133 m/sec

At rate  - 0.133 m/sec, the length of shadow of women on the building decreasing when she is 2 m from the building.

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a current of 27.0 ma is maintained in a single circular loop of 3.90 m circumference. a magnetic field of 0.710 t is directed parallel to the plane of the loop.

Answers

The magnetic moment of the loop is 8.37 * 10⁻³ Am²

The torque exerted on the loop by the magnetic field is 5.94 * 10⁻³ Nm.

What is the magnetic moment of the loop?

The magnetic moment of the loop is calculated as follows:

M = IA

where;

M is the magnetic momentA is the area of the loop in m²I is the current in amperes

The Area of the loop, A = πr²

where r is the radius

r = Circumference / 2π

r = 3.9 / 2π

Area = π * (3.9/2π)²

A = 0.31 m²

Moment of the loop = 27 * 10⁻³ * 0.31

Moment of the loop = 8.37 * 10⁻³ Am²

The torque exerted on the loop by the magnetic field is given as follows:

T = MB

where;

T is the torque

B is the magnetic field.

T = 8.37 * 10⁻³ * 0.71

T = 5.94 * 10⁻³ Nm

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Complete question:

A current of 27.0 mA is maintained in a single circular loop with a circumference of 3.90 m. A magnetic field of 0.710 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop.  (b) What is the magnitude of the torque exerted on the loop by the magnetic field?

which terms is eaqual to velocity change per second? A. acceleration B. speed C. velocity D. gravity​

Answers

Answer: A. acceleration

Explanation: Acceleration is the term that is equal to velocity change per second. Acceleration refers to the rate at which an object's velocity changes over time. It measures how quickly an object's speed or direction changes. When an object speeds up, slows down, or changes direction, its velocity is changing, and this change per unit of time is known as acceleration.

To calculate acceleration, you divide the change in velocity by the time it takes for that change to occur. The unit of acceleration is meters per second squared (m/s²) in the metric system. For example, if an object's velocity changes from 10 m/s to 20 m/s in 2 seconds, the acceleration would be (20 m/s - 10 m/s) / 2 s = 5 m/s².

a mass is attached to a spring. it oscillates at a frequency of 1.27 hz when displaced a distance of 2.0 cm from equilibrium and released. what is the maximum velocity attained by the mass?

Answers

The maximum velocity attained by the mass is given by the equation v(max) is  0.80 m/s

Step 1: Calculate the spring constant

The frequency of a mass on a spring is given by the equation:

f = (1/2π)√(k/m)

where f is the frequency, k is the spring constant, and m is the mass.

Given:

f = 1.27 Hz

x = 2.0 cm = 0.02 m

Therefore:

k = (2πf)2m

k = (2π*1.27 Hz)2*0.02 m

k = 2.02 N/m

Step 2: Calculate the maximum velocity

The maximum velocity of an oscillating mass on a spring is given by the equation:

vmax = (2πfx)√(k/m)

where vmax is the maximum velocity, f is the frequency, x is the displacement, k is the spring constant, and m is the mass.

Given:

f = 1.27 Hz

x = 0.02 m

k = 2.02 N/m

Therefore:

vmax = (2π*1.27 Hz*0.02 m)√(2.02 N/m/0.02 m)

vmax = 0.80 m/s

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if there is going to be a total lunar eclipse tonight, then you know that:

Answers

If there is going to be a total lunar eclipse tonight, then you know that the Moon's phase is full.

What is a lunar eclipse?

The full moon phase is when lunar eclipses take place. When the Moon and Sun are exactly lined up, Earth's shadow falls on the Moon's surface, darkening it and occasionally turning it a brilliant red over the course of a few hours. Every lunar eclipse can be seen from half of the planet.

Total lunar eclipses occur when the moon is entirely submerged in the umbra of the earth's shadow. Hence, total lunar eclipse occurs when the Moon's phase is full.

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a metal bar magnet has a magnetic field in the region of space around it. the magnetic field is due to * 1 point captionless image a) magnetic monopoles embedded in the metal. b) a hidden voltage source in the metal. c) the motion of charged particles in the atom d)an electric current that runs along the length of the magnet

Answers

A metal bar magnet has a magnetic field in the region of space around it. The magnetic field is due to an electric current that runs along the length of the magnet.

The lines of magnetic field from a bar magnet form closed lines. By convention, the field direction is taken to be outward from the North pole and in to the South pole of the magnet. Permanent magnets can be made from ferromagnetic materials.

This region is called the magnetic field. If an iron object is near a magnet, but is not within the magnetic field, the object will not be attracted to the magnet. When the object enters the magnetic field, the force of the magnet acts, and the object is attracted.

Inside a bar magnet, since magnetic field are continous, they point from the south pole to the north pole as the magnetic enters from south pole from the outside and emerge from the north pole.

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Why is impulse a vector?

Answers

Answer:

Impulse is defined as, It is defined as the product of net force and the length of time it was applied. As we know that momentum and force are both vectors, therefore impulse is also a vector.

explanation:

Since force is a vector quantity, impulse is also a vector quantity. Impulse applied to an object produces an equivalent vector change in its linear momentum, also in the resultant direction.

the graph on the next page shows the displacement of the block as a function of time

Answers

Answer:

brokies+99+00+00=00

Explanation:

how strong is the electric field between two parallel plates 6.8 mm apart if the potential difference between them is 220 v?

Answers

That amounts battery to 220 volts divided by 6.8 times 10 and three less meters between them. That is 6.8 millimeters electric 3.2 times 10 to the four Newtons per Coulomb gives us 32,352 Newtons per Coulomb.

A battery is a device that converts chemical energy into electrical energy by storing it. During chemical reactions in batteries, electrons flow from one material (electrode) to another through an external circuit. The movement of electrons results in an effective electric current.

Electric field due to battery = potential/separation = 220v / 6.8mm = 220v / 0.0068m = 32,352 volts per meter, according to the question.

If there is a battery, two parallel plates spaced 6.8 mm apart will create an electric field.

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if he is listening to the radio at the frequency of 660 khz , how many wavelengths fit in the distance from the station to his house?if he is listening to the radio at the frequency of 660 , how many wavelengths fit in the distance from the station to his house?111322233

Answers

If he were to listen to the radio at a frequency of 660 kHz, the distance between the station and his dwelling could be covered by 11 wavelengths. A good illustration of a wavelength is the length of light.

"The space between the light wave's two subsequent crests or troughs." The Visible Spectrum is Simply said, the visible spectrum is the portion of an electromagnetic wave that can be observed by human eyes. The frequency of an event is its repetitions per unit of time. For clarification, it is sometimes referred to as temporal frequency and is separate from angular frequency. One event occurs every second, or one hertz (Hz), when measuring frequency.

(660*103*5*103)/3*108 is the wavelength number.

11 wavelengths are present.

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The complete question is -

if he is listening to the radio at the frequency of 660 khz , how many wavelengths fit in the distance from the station to his house?

Help please I need help fassttttt

Answers

The distance -time graph of object D shows a linear relationship. Thus it moves with a constant speed. Whereas, object C shows a non-linear relation of distance and time thus, it moves with a changing speed.

What is velocity?

Velocity is a physical quantity that measures the distance covered per unit time. Velocity is a vector quantity and is having both magnitude and direction.

Velocity is the ratio of distance to the time. Thus, if the change in distance is linear with the change in time, there will be no change in velocity and the object is said to be moving with constant velocity.

If the distance and time are non-linear thus, thus, change in distance is not coinciding with change in time, then the velocity changes each time.

Therefore, object C has a changing speed and object D has a constant speed.

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what is the minimum power that the engine of a 560kg car has to deliver to accelerate the car from rest to 100km/he in 6.0second

Answers

Answer:

what is the minimum power that the engine of a 560kg has to deliver to accelerate the car from the rest to 100 kilometers/he in 6.0 seconds per feet

Explanation:

the car's weight kilometeresseconds the car is going acceleration of the speed it is going at of

For a wave pulse on a string to travel twice as fast, the string tension must be

1-Decreased to one fourth its initial value.
2-Increased by a factor of 4.
3-Not possible. The pulse speed is always the same.
4-Increased by a factor of 2.
5-Decreased to one half its initial value.

choose the corecct answer.

Answers

Option B;  A wave pulse on a string to travel twice as fast, the string tension must be 2-Increased by a factor of 4.

wave velocity is given by

v =2v.

T = 4T

As the pulling force transmitted axially by a string, rope, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object, tension is defined; it can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. Compression's opposite, tension, might exist.

When molecules or atoms are forced apart at the atomic level and accumulate potential energy while a restoring force is still present, the restoring force may produce what is also known as tension. Under such stress, each end of a string or rod might pull on the thing to which it is linked, releasing the tension and allowing the string or rod to return to its relaxed length.

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For a planet with a roughly circular orbit, how does the planet's velocity change when the orbital radius increases or
decreases?

Answers

Answer: increases

Explanation:

how much energy is required to heat 40.7 g of water (h2o) from −10∘c to 70∘c?

Answers

The amount of energy that is required was found to be 4.184 J

define energy ?

In physics, energy (from Ancient Greek: v, enérgeia, "activity") is a quantitative quality that is transmitted to a body or a physical system and is observable in the execution of work as well as in the form of heat and light. The law of conservation of energy holds that energy can be transformed in form but cannot be generated or destroyed. The joule is the International System of Units (SI) unit of measurement for energy (J).

The kinetic energy of a moving object, the potential energy stored by an object (for example, due to its position in a field), the elastic energy stored in a solid object, chemical energy associated with chemical reactions, radiant energy carried by electromagnetic radiation, and internal energy contained within a thermodynamic system are all examples of common forms of energy. All living creatures continually absorb and expel energy.

So, to do that, we'll set up our equation so that q equals 40.7, and then the specific heat of water is 4.184 joules per gramme, times degrees celsius, and since I'm keeping this in grammes, this is the correct value of c, and then our final temperature minus our initial temperature, so 70 degrees celsius minus negative 10 degrees celsius, and that gives us 40.7 times 4.184 times 80, which gives us the value of q

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how does the maximum static friction force that the surface exerts on the block depend on the surface area of the block?'

Answers

The maximum force of static friction is not dependent on the area of contact.

Static friction is a force that keeps an object at rest.The friction experienced when individuals try to move a stationary object on a surface, without actually triggering any relative motion between the body and the surface on which it is on.The static frictional force is self-regulating, i.e. static friction will at all times be equivalent and opposite to the force applied.The maximum force of static friction is not dependent on the area of contact.The maximum force of static friction is comparative to the normal force i.e., if the normal force increases, the maximum external force that the object can endure without moving, also increases.

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In 1966, a special research cannon built in Arizona shot a projectile to a height of 180 kmabove Earth’s surface. The potential energy associated with the projectile when its altitude was10 percentof the maximum height was14.8 MJ.What was the projectile’s mass?


a. 10.2 kg

b. 28.8kg

c. 9.70kg

d. 34.9kg

Answers

Answer:

b

Explanation:

28.8" (and any words after it) was ignored because we have restricted queries to 32 words.

what is the wavelength of radiation that has a frequency of 5.39 × 1014 s–1? (c = 2.9979 × 108 m/s)

Answers

556 nm is the wavelength of radiation that has a frequency of 5.39 × 10⁻¹⁴ s⁻¹.

What is radiation?

The energy that emanates from a source and moves through space at the speed of light is referred to as radiation. This energy has wave-like qualities and is accompanied by an electric field and a magnetic field.

Examples include solar heat or light, microwaves from an oven, X-rays from an X-ray tube, and gamma rays from radioactive materials. Atoms can be ionized, or removed from their electrons, by ionizing radiation.

Given that:

frequency (f) = 5.39 × 10⁻¹⁴ s⁻¹

Velocity of light (c) = 2.9979 × 10⁸ m/s

As we know,

   λ = c/f

or, λ =(2.9979 × 10⁸ m/s)/(5.39 × 10⁻¹⁴ s⁻¹)

or, λ = 5.56 × 10⁻⁷m

or, λ = 556 nm

Thus, the wavelength = 5.56 × 10⁻⁷m or 556 nm.

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how much mass of u is required to produce about 8 j oof eenergy assum the energy produced in a single fission reaction is 200 mev

Answers

Using the assumption that each fission process produces 200 Mev of energy, a mass of U(235) is needed to produce approximately 8 x10¹¹ J of energy is 9.754 grams.

Explain the term single fission reaction?A bigger atom undergoes fission when a neutron smashes into it, causing it to excite then divide into two smaller atoms, also referred to as fission products. A chain reaction may be started by other neutrons that are also released. An enormous quantity of energy is produced when each atom divides.

For the given single fission reaction-

Let the mass of U(235) required be m.Required energy =  8 x 10¹¹ J Produced energy = 200 Mev from one atom

Thus, convert energy required in Mev

 8 x 10¹¹ J  = 8 x 10¹¹ x 6.242 x 10¹² Mev
 8 x 10¹¹ J  = 49.9 x 10²³ Mev

Number of atoms required = Total energy / energy from 1 atom

Number of atoms required = 49.9 x 10²³ / 200

Number of atoms required =  0.24 x 10²³ atoms

Number of moles = 0.24 x 10²³ / NA = 0.041 mol

NA is Avogadro's number = 6.022 x 10²³

Number of moles = 0.041 mol

So, mass = 0.041 x 235

mass = 9.754 grams

Thus, using the assumption that each fission process produces 200 Mev of energy, a mass of U(235) is needed to produce approximately 8 x10¹¹ J of energy is 9.754 grams.

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The correct question is-

How much mass of U(235) is required to produce about 8 x 10¹¹ J of energy assuming the energy produced in a single fission reaction is 200 Mev.

a satellite s is in an elliptical orbit around a planet p, as shown above, with r1 and r2 being its closest and farthest distances, respectively, from the center of the planet. if the satellite has a speed v1 (a) at its closest distance, what is its speed at its farthest distance?

Answers

A satellite s is in an elliptical orbit around a planet p, as shown above, with r1 and r2 being its closest and farthest distances, respectively, from the center of the planet

(R1/R2)V1 is its speed at its farthest distance.

The rate of change in position of an object in any course.Speed is measured because the ratio of distance to the time wherein the distance became included. Speed is a scalar amount because it has handiest route and no significance.

Velocity can be notion of as the rate at which an object covers distance. A quick-moving object has a high speed and covers a notably big distance in a given amount of time, whilst a sluggish-shifting item covers a relatively small amount of distance in the same amount of time.

The primary unit or the S.I. unit of velocity is m/s or ms?¹.

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what is the average efficiency of an electric motor, compared to the 35 percent efficiency of an internal combustion engine

Answers

The direct answer to your question is that electric engines can be more than 80% efficient and even up to 90% efficient while combustion engines are 30 to 45% efficient.

Electric motors make vehicles substantially more efficient than internal combustion engines. Electric motors convert over 85 percent of electrical energy into mechanical energy, or motion, compared to less than 30 to 40 percent for a gas combustion engine.

These efficiencies are even lower after considering losses as heat in the drivetrain, which is the collection of components that translate the power created in an electric motor or combustion engine.

• Motor efficiency: 85..90%

• Battery load efficiency: 80..90 %

• Battery discharge efficiency: 80..90 %

• Power generation efficiency at power: 30..40 %

• Transfer efficiency from the powerplant to the reloading station: 90..95 %

• Energy conversion efficiency AC to DC: 90..95 %

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what is the sl unit for work

Answers

The SI unit for work is  joule (J).

What is  joule ?Joule is the SI unit of work (J). The work accomplished by a force of one newton creating a displacement of one meter is known as a joule. Work is sometimes measured in newton-metres (N-m). But because this unit is also used for torque, things can become a little complicated. As a result, the SI authority does not promote the usage of this unit.Work is the process of transferring energy to an object's motion by the application of a force; it is frequently depicted as the result of force and displacement. If a force has a component in the direction of the displacement of the site of application, it is said to have positive work.

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A steel cable has a cross sectional area 2.83x10^-3 m^2 and is kept under a tension of 1.00 x10^4 N. the density of steel is 7860 kg/ m^3 (note that this value is not the linear density of the cable). At what speed does a transverse wave move along the cable?

Answers

The velocity is 21.203 m/s

What is tension ?

Tension is the force that is sent through a rope, string, or wire when two opposing forces pull on it. Along the whole length of the wire, the tension force pulls energy equally on the bodies at the ends. Every physical object that comes into contact with another one exerts force on it.

According to the given information

Cross sectional Area, A = 2.83 [tex]\times 10^{-3} \mathrm{~m}^2$[/tex]

Tension on the string, T = 1 [tex]\times 10^4[/tex] N

Density of steel, [tex]$\rho[/tex] = 7860 [tex]\mathrm{~kg} / \mathrm{m}^3$[/tex]

let [tex]$\psi(x)$[/tex] be the equation of the wave on the cable.

then Net force on the cable, [tex]$F_{n e t}[/tex] = T [tex]\left[\psi^{\prime}(x+d x)-\psi^{\prime}(x)\right][/tex]

                                                          = [tex]T d x\left(d^2 \psi(x) / d^2 x\right)$[/tex]

where we have assumed that [tex]$d x$[/tex] is infinitesimal

Now mass density of cable per unit length can be calculated as following

[tex]& \mu=A \rho \\[/tex]

[tex]& \mu=2.83 \times 10^{-3} \times 7860=22.243 \mathrm{~kg} / \mathrm{m}[/tex]

Using equation 1 ,

[tex]& F_{\text {net }}[/tex] = [tex]T d x\left(d^2 \psi(x) / d^2 x\right)[/tex] = m a =[tex]\mu d x\left(d^2 \psi(x) / d^2 t\right) \text { where } m[/tex][tex]=\mu d x \\& d^2 \psi(x) / d^2 t=(T / \mu)\left(d^2 \psi(x) / d^2 x\right)[/tex]

Comparing with the above equation,

[tex]$d^2 \psi(x) / d^2t[/tex] = [tex]\left(v^2\right)\left(d^2 \psi(x) / d^2 x\right)$[/tex] where V is the speed of the wave. then

v = [tex]\sqrt{T / \mu}$[/tex]

Using equation 2 and given value of tension,

v = [tex]\sqrt{1 \times 10^4 / v}=\sqrt{1 \times 10^4 / 22.243}[/tex]

  = [tex]\sqrt{449.57}=21.203 \mathrm{~m} / \mathrm{s}[/tex]

The velocity is 21.203 m/s

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