Tammy and Trish are both helping organize the library. They each take 150 books and line them on the new shelves 10m away. Tammy finishes her stack task in 3.5 hours while Trish requires 2 hours to complete her part.
a. Who does more work, or do they both do the same amount?

b. Who has more power?

c. Explain

When the spring reaches its equilibrium length, or the point at which all the energy stored in the spring is transferred to kinetic energy, the block moves at its fastest speed. Since the object is at rest when it starts, Ki = 0. Due to a lack of friction, Wnc is equal to 0.

A mass oscillating about its equilibrium position can move at a maximum displacement of 0.2 meters and at a maximum speed of 1.2 meters per second.

Currently, the top speed limit for automobiles on expressways is 120 kph, and the top speed limit for cars on national highways is 100 kph.

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The car will not drive off the cliff.

Motion is the phenomenon in which an object changes its position. Motion is represented in terms of displacement, distance, velocity, acceleration, speed, and time.

We know that [tex]v^{2} - u^{2} = 2aS[/tex] where,

v= final velocity

u = initial velocity

a = acceleration/deacceleration

S = distance

Given , v = 32m/s , u =0 and a = 8 m/s^2

Putting these values in above equation we get,

                               S = 64m

Given cliff is at a distance of 65m.

So the car will not fall off the cliff.

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The average pressure does this wave exert on a totally reflecting surface is 5.13*10^-12 pa.

As a result of the momentum transfer between the electromagnetic field and the object, the idea of radiation pressure is created. Since electromagnetic waves carry transport momentum, this force can be observed.

The mechanical pressure that is applied to any surface as a result of the electromagnetic field and the object exchanging momentum is known as radiation pressure. When photons hit the object's surface in this instance, momentum is transferred.

The composition of the surface and the level of light intensity employed determine the radiation pressure on any given surface.

Given,

power=777Kw

r=4.50 Km

According to the condition given, we get

I = Pav/ A

I = 777000 w/2π(4000m)^2

I = 7.7 *10^-3 w/m²

Average pressure is given by

PaV = 2I/c

Pav = 2* 7.7 x 10^-3/3*10^8

Pav = 5.13*10^-12 pa.

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According to the young's double-slit experiment, the spacing of the slits is 1.54 mm.

Young's double-slit experiment uses two coherent light sources placed a short distance apart.

Wavelength of the light used = λ = 575 nm

Distance between the slits and the screen = D =  2.00 m

The  minimum tenth interference = 7.10 mm

As we know the tenth minimum interference can be calculated by the formula: (19/2) (λD/d)

here 'd' is the spacing between the slits.

7.10 * [tex]10^{-3}[/tex] = (19/2) (575 * [tex]10^{-9}[/tex] * 2/d)

7.10 = (9.5) (1154 * [tex]10^{-6}[/tex] / d)

7.10 = 10963 * [tex]10^{-6}[/tex] /d

d = 1544.0 * [tex]10^{-6}[/tex] m

d = 1.54  [tex]10^{-3}[/tex] m

d = 1.54 mm

The spacing of the slits is 1.54 mm.

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Answer: Attached JPG

Explanation:

FBD shows the forces acting on an object. If you where given no values (mass, acceleration, μ, etc...) then simply label the various vectors. Vectors show direction and magnitude as in how big the force is.

If you where given the mass you can find the weight and normal force (not inclined plane) by multiplying mass times gravity. Fg=Fn because its not moving in the y dimension (up and down).

If given acceleration and told no friction then the force applied would be mass times acceleration.

If given friction force you have to set up the equation m*a=Fa-Ff and then plug in variables.

It gets more complicated when you are given μ. To find these force then you have to set up the equation Ff=μFn. Plug in variables to find Ff, then set up previously listed equation.

Hope this helps

Because A and B have maximum speeds of 5.024 m/s and 5.024 m/s, respectively, and because their two masses, a and b, are attached to different springs, both A and B have the same speed.

The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. The distance travelled by an object in a time interval divided by the length of the interval gives the average speed of the object during that interval.

Vmax for A is 2 * pi * (10) * (0.08) = 5.024 m/s.

Vmax for B = 2*pi*(16)(0.05), which equals 5.024 m/s

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Each of the descriptions should be matched to the processes as follows;

Sublimation → Fog is created by using dry ice.

Deposition → Frost forms on trees on a very cold day.

Condensation → The mirror gets fogged up when you breathe on it.

Melting → Ice cream starts dripping down the sides of an ice cream cone.

Evaporation → Your wet hair dries after a few minutes.

Freezing → Liquid glass cools and hardens.

In Science, a phase change can be defined as the change in the state (phase) of matter of a given chemical compound or substance. Additionally, some examples of a phase change include the following;

Generally speaking, a change in the state (phase) of matter that results in the release of energy is known as an exothermic reaction and they include the following:

In conclusion, other processes that are associated with a change in the state (phase) of matter are sublimation, melting, and evaporation.

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The force of the bridge on the camel is given as - (W + w) N.

According to Newton's third law of motion, for every force, there is an equal but oppositely-directed force.

The force of gravity acting on the camel produces a downward force that acts perpendicular to the plane of the surface of the bridge.

According to Newton's law of motion, a balancing force acts on the camel in the opposite direction of the weight of the camel. This is the force of the bridge in the camel.

The total downward force acting on the bridge = (W + w) N

The total upward force acting on the camel = - (W + w) N

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Answer:

magnetic force F = q

Explanation:

The reason why Saturn's rings appear bright is because sunlight reflects off the ring material.

Because the ice particles in Saturn's rings scatter and reflect sunlight, the rings appear dazzling. Astronomers have long known that when Earth is directly between Saturn and the sun, Saturn's rings reflect sunlight with the greatest intensity. When light reflects off flat, polished surfaces (like a mirror or a pond) in a specific direction, it might appear exceptionally bright. The rings' actual nature becomes clear upon closer inspection. A mix of factors, such as gravity and collisions between the ring particles themselves, account for the rings' appearance of uniformity. Although the planets appear to be perfectly spherical, their spin causes them all to slightly bulge around the equator. The Saturnian ring system is the largest ring system in the Solar System. They are made up of innumerable tiny particles that orbit Saturn and range in size from micrometres to meters. With the exception of a small amount of stony material, the ring particles are virtually exclusively comprised of water ice.

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I drew the first picture myself, and the second one is the image

The centripetal acceleration of the runner is 1.44m/sec²  if he is moving at a speed of 7.20m/sec while bending a radius of 36m.

Centripetal acceleration increase is characterized as the property of the movement of an item, crossing a roundabout way. Any item that is moving all around and has a speed increase vector pointed towards the focal point of that circle is known as Centripetal speed increase.

You probably seen different instances of centripetal speed increase in your regular daily existence. In the event that you drive a vehicle around a circle, your vehicle is going through centripetal speed increase and a satellite circling the earth likewise follows a centripetal speed increase. Centripetal means towards the middle.

Centripetal acceleration increase can be estimated in meters each second as it is the quantity of meters each second by which your speed changes consistently. At the point when an item is moving in a round movement, it very well may be estimated by utilizing the accompanying condition

[tex]a_c[/tex]=(v²)/r

Where,

[tex]a_c[/tex]   is the centripetal acceleration increase in m/sec²

v is the speed in m/sec

r is the sweep in m.

So, we have v=7.20m/sec, r=36m.

So,[tex]a_c[/tex]=(7.20)²/36

=>[tex]a_c[/tex]=(51.84)/36

=>[tex]a_c[/tex]=1.44m/sec²

Hence, centripetal acceleration is 1.44m/sec².

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The wavelength of the light has beam 355 nm.

What is a wavelength?
A wavelength is the measure of a wave's distance from one peak to the next. It is the physical distance between two successive wave crests or troughs, and is usually measured in meters, nanometers, or micrometers. Wavelengths are an important aspect of light, sound, and other types of waves. Wavelengths are often used to describe the properties of these waves such as their color, pitch, and intensity. Wavelengths are also related to the frequency of a wave, with shorter wavelengths associated with higher frequencies and longer wavelengths associated with lower frequencies.

The wavelength of the light beam can be calculated using the equation λ = h/eV, where h is Planck's constant, e is the charge of an electron, and V is the potential difference in volts.
For this question, the wavelength of the light beam is therefore λ = (6.626 x 10-34 Js)/(1.602 x 10-19 C x 1 V) = 4.13 x 10-7 m or 355 nm.

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The ratio of the newly allowed intensity to the previously allowed intensity is 3.1623 x 10⁻³.

Banks says a leaf blower makes 64 to 78 decibels at 50 feet. To the operator's ear, the noise is 95-115 decibels. According to Dangerous Decibels, a public-private partnership aimed at reducing hearing loss, typical speech is around 60 decibels, washing machines 75 decibels, and chainsaws 115 decibels.

Performance that fits your needs. Setting the motor to a low speed makes less noise. According to the American Green Zone Alliance, an organization dedicated to zero-emission landscaping, the average fan produces about 65 dB of noise. Compare this to the average noise level of a traditional gas backpack blower.

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After  a material with a dielectric constant of 4.80 is inserted between the plates,  energy remains same and it be 8.09 joule now stored in the capacitor.

Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form.

The total energy of an isolated system is constant when all sources of energy are taken into account.

As the energy of 8.09 joule stored in a capacitor, which is isolated, when   a material with a dielectric constant of 4.80 is inserted between the plates,  energy remains same due to conservation of energy and it be 8.09 joule now stored in the capacitor.

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His apparent weight will be the greatest when the elevator accelerating upward.

acceleration is the rate of to the  change of the velocity of an object with respect by  time.

When a person stand in an elevator moving upwards, he feels heavier because the elevator's floor presses harder on his feet, and the scale will show a higher reading than when the elevator is at rest.

According to Newton's second law

R = mg + ma

where;

R is the reading of the scale = apparent weight of the person

mg is the normal weight of the person

ma is the upward force acting on the person

Therefore, his apparent weight will be the greatest when the elevator is accelerating upward

(c) is accelerating upward

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Minimizing static friction coefficient to prevent slipping if the turntable had experienced radius of gyration continuous angular acceleration when it was at rest.

In general, the radius of gyration is the distance from a body's center of mass at which the entire mass could be concentrated without changing the body's moment of rotational inertia about the axis through the center of mass.

Equation for Radius of Gyration

The following is the formula for moment inertia in terms of gyroscope radius: I is the moment of inertia and m is the body's mass, and I = mk2 (1). The radius of gyration is given as follows as a result. k = I m ( 2 ) ( 2 ).

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The first law of thermodynamics, which states that you cannot produce or destroy matter or energy, is broken by this. Critics assert that the big bang theory implies the universe didn't exist before the big bang.

According to a theoretical hypothesis known as the Big Bang theory, the cosmos first existed in a state of extreme density and heat. The evolution of the observable universe from the earliest known times through its later large-scale form is explained by a variety of cosmological models of the Big Bang. These models provide a thorough justification for a wide variety of known phenomena, including the abundance of light elements, cosmic microwave background (CMB) radiation, and large-scale structure. Cosmic inflation, or the abrupt and extremely rapid expansion of space during the Universe's early moments, provides an explanation for the flatness problem, or the appearance of uniformity over the whole cosmos. The initial conditions of the Big Bang, however, are not currently well modeled by any commonly accepted quantum gravity theory.

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The greatest amount of time is going to be achieved when the volleyball is hit with its maximum velocity and that's his maximum vertical component.

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220-dc motor powered by a 5.3 ohm armature whose resistance is running at its operating speed the series resistance would be necessary to keep the initial current under 20 A

Distance travelled in a unit of time is referred to as speed. It is the rate of movement of an object. Speed is a scalar quantity and the velocity vector's magnitude. There is no clear direction to it. An object is travelling more quickly if its speed is higher. Slower motion is indicated by a lower speed. In simple words, we define speed or velocity as the distance travelled in a specific amount of time. If an automobile is driving faster if its speed is higher. A slow vehicle has less speed, as we say. if an object moves quickly.

Req = R + r = 2 + r

Req = V/I2 + 2 + r = 220/30 60 + 30 r = 220 30 r = 160 r = 5.3 ohm

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The relationship between image distances and object distances for a lens is given by the lens formula: 1/I = 1/f - 1/u, where I is the image distance, f is the focal length of the lens, and u is the object distance.

In the given scenario, the object is kept at the same distance from both lenses A and B, which is between F and 2F of each lens. The image distances I1 and I2 will be different for the two lenses because the focal lengths of the lenses are different, as represented by the different powers P1 and P2.

We can use the lens formula to find the relationship between the image distances of the two lenses.

For lens A: 1/I1 = 1/f1 - 1/u

For lens B: 1/I2 = 1/f2 - 1/u

Where f1 and f2 are the focal length of lenses A and B respectively.

As we know that the object distance is same for both lenses, we can subtract these two equations to get the relationship between I1 and I2.

1/I1 - 1/I2 = 1/f1 - 1/f2

This equation shows that the relationship between the image distances of the two lenses is determined by the difference between the focal lengths of the lenses. If the focal lengths of the lenses are equal, the image distances will also be equal. But if the focal lengths are different, the image distances will also be different.

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Temperature rise will be there in cylinder B more than in cylinder A because of internal energy.

what is internal energy?

The sum of the kinetic and chemical potential energies of all the particles in the system is the internal energy. Particles accelerate and pick up kinetic energy when energy is applied to increase the temperature.

Briefing:

Cylinder A uses the heat it absorbs to both work while expanding and to increase internal energy (or temperature).

While cylinder B solely uses the heat it absorbs to increase its internal energy 

As a result, cylinder B's temperature rise is greater than cylinder A's.

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The speed of the bullet is 721m/s as it leaves

The speed of the bullet is 937m/s as it enters block 1 .

From the question, we have

+x direction is to the right (so all velocities are positive valued).

(a) Applying momentum conservation,

(0.0035kg)ν=(1.8035kg)(1.4m/s)  

⇒ν=721m/s .

(b) We use momentum conservation to connect the moment the bullet initially contacts the first block to the moment it has passed through it (using the speed v from section (a)).

(0.0035kg)V  =(1.20kg)(0.630m/s)+(0.00350kg)(721m/s)

V =937m/s .

Linear Momentum:

The product of an object's mass, m, and its velocity, v, is the vector quantity known as linear momentum. It is represented by the letter "p," which is also used to denote momentum. Please be aware that the body's momentum always points in the same direction as its vector of velocity. Because it is a conserved quantity, a system's overall momentum is always constant. kg/s is the unit of linear momentum.

Complete question:

a 3.50g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block  1  (mass 1.20kg ) and embeds itself in block 2 (mass 1.80kg ). The blocks end up with speeds ν 1=0.630m/s  and ν2 =1.40m/s (Fig.9-58b). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1 .

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The resistivity, in ohm meters, of the wire is 0.001228 Ωm.

Resistivity is a measure of a material's resistance to electric current. It is the inverse of electrical conductivity and is usually expressed in ohm-meters (Ω⋅m). Resistivity is an intrinsic property of a material, meaning that it does not depend on the size or shape of the material.

Resistivity is typically measured using a four-point probe method. This involves attaching four electrodes to the material, and then measuring the voltage between the two inner electrodes while passing a known current through them. The resistivity can then be calculated using Ohm's law.

Resistivity = (Voltage x Length) / (Current x Area)

= (15.5 x 8.49) / (75.3 x (π x (0.852/2)^2))

= 0.001228 Ωm

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The femur, which is the thighbone, and the pelvis, which consists of the ilium, ischium, and pubis. The femoral head creates the ball of the hip joint, and the acetabulum creates the socket.

What tissues connect to the iliac crest?

Hip flexors, internal and external abdominal oblique muscles, erector spinae muscles, latissimus dorsi, transversus abdominis, and tensor fasciae latae are just a few of the significant abdominal and core muscles that are linked to the iliac crest.

What are the pelvis' four components?

The coccyx and sacrum make up the pelvic spine. The innominate bones are the pubic bone, ischial bone, and iliac bone that connect on either side.

Is the iliac crest the hip bone?

The largest of the three bones that make up the hip bone or bony pelvis, the ilium, has a conspicuous section called the iliac crest. A person will occasionally rest their hands on the curved section of the pelvis that creates the wing-like feature of the hip and lies close to the skin.

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The separation between the fifth maximum and seventh minimum from the central maximum is 2.457mm

Seperation between 5th and 7th minima

=2X(wavelength)x(Distance of screen) / (slit seperation)

=(2x 585x10^-9 x21x10^-2 )/ 0.1x10^-3 =2.457mm

The double-slit experiment shows that light and matter can exhibit properties of both classically defined waves and particles. Furthermore, it demonstrates the fundamental stochastic nature of quantum mechanical phenomena. This kind of experiment was first performed by Thomas Young in 1802 to demonstrate the wave behavior of visible light [1]. At the time, light was thought to consist of waves or particles. With the advent of modern physics about 100 years later, it was recognized that light can indeed exhibit behavior characteristic of both waves and particles. We have demonstrated that it exhibits the same behavior as extended to molecules . Thomas Young's light experiments were part of classical physics long before the concept of quantum mechanics and wave-particle duality was developed. He believes that this proves that the wave theory of light is correct, and his experiment is sometimes called Young's experiment  or Young's slit.

This experiment belongs to the general class of "double-path" experiments, in which a wave is split into two separate waves (a wave usually consists of many photons and is better known as a wavefront). .The wave properties of a single photon ), which later combine into a single wave. Changes in the path length of both waves lead to phase shifts that create interference patterns. Another version is a Mach-Zehnder interferometer that splits the beam with a beam splitter.

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In other words, pH equals the negative log of the KW value given at 2.35 times 10 to the negative 14 -30H given at 4.75°C temprature. We also obtain 888.

The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.

A solution's pH is a significant indicator of its chemical composition. The pH can affect how readily available nutrients are, how biological processes work, how bacteria behave, and how chemicals behave.

If Kw = [H⁺][OH⁻] = 2.5 x 10⁻¹⁴, then

log₁₀ [H⁺] + log₁₀ [OH⁻] = log₁₀ (2.5 x 10⁻¹⁴), or

-log₁₀ [H⁺] - log₁₀ [OH⁻] = -log₁₀ (2.5 x 10⁻¹⁴), which is

pH + pOH = -log₁₀ (2.5 x 10⁻¹⁴) = 13.60

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The highlighted artery has two terminal branches are Basilic vein.

The basilic vein travels from the palm of your hand up your arm, passing by the side of your pinky and ulna (a long bone that runs from your elbow to your finger). Due to its proximity to the skin's surface, the basilic vein is regarded as superficial. The inner arm frequently exhibits it. The dorsal venous network's ulnar region is where the basilic vein first appears. The vena mediana cubiti connects to it at the anterior surface just below the elbow as it ascends the basilic vein of the forearm, which goes up the posterior surface of the ulnar side of the forearm.

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The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

A vector equation is a linear combination of vectors with possibly unknown coefficients.

Vectors are defined as quantities that have both magnitude and direction. Examples include weight, acceleration, force, displacement, and velocity. Scalar quantities are those that merely have magnitude and no direction.

According to the given information

r(u, v) =[tex]\langle u \cos v, u \sin v[/tex], [tex]v\rangle \quad 0 \leqslant u \leqslant 1[/tex]

[tex]0 \leqslant v \leqslant 6 \pi \\[/tex]

[tex]& \gamma_u=\langle\cos v, \sin v, 0\rangle \\[/tex]

[tex]& r_v=\langle-u \sin v, u \cos v, 1\rangle \\[/tex]

[tex]& r_u \times r_v[/tex] = [tex]\left|\begin{array}{ccc}\hat{i}_i & \hat{j} & \hat{k} \\\cos v & \sin v & 0 \\-u \sin v & u \cos v & 1\end{array}\right| \\[/tex]

= [tex]\hat{\imath}[\sin v-0]-\hat{\jmath}[\cos v]+\hat{k}\left[u \cos ^2 v+u \sin ^2 v\right] \\[/tex]

[tex]& =\langle\sin v,-\cos v, u\rangle \\& \left\|\gamma_u \times \gamma_v\right\|=\sqrt{\sin ^2 v+\cos ^2 v+u^2}=\sqrt{1+u^2} \\[/tex]

[tex]& A_{r e}=\iint\left\|r_u \times r_v\right\| d A \\& =\int_0^1 \int_0^{6 \pi} \sqrt{1+u^2} d v d u \quad=\int_0^1 \sqrt{1+u^2} d u[v]_0^{6 \pi} \\& =6 \pi \int_0^1 \sqrt{1+u^2} d u=\frac{6 \pi}{2^2}\left[\frac{1}{2}\left(x \sqrt{1+u^2}+\ln \left(\sqrt{1+u^2}+1\right)\right]_0^1\right. \\& ={ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

So

The area of Surface = [tex]{ }^3 k \pi\left[\frac{\ln (1+\sqrt{2})+\sqrt{2}}{x}\right]=3 \pi[\ln (\sqrt{2}+1)+\sqrt{2}] \\[/tex]

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The sequence of energy transformations from the moment the ball is dropped to the moment the board is bent to its maximum extent and the ball is at rest is as follows:

1. The ball has potential energy (gravitational potential energy) from being held above the board.

2. As the ball is dropped, it gains kinetic energy as it accelerates to the ground.

3. When the ball hits the board, the kinetic energy is converted into elastic potential energy as the board bends.

4. As the board continues to bend, the elastic potential energy is converted into thermal energy.

5. Finally, when the board reaches its maximum extent, the ball is at rest and its kinetic energy has been completely converted into thermal energy.

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