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The final temperature of the coin is determined as 25.76 ⁰C.

P.E = mgh

where;

P.E = 0.003 x 9.8 x 50

P.E = 1.47 J

Q = 60% of 1.47 J

Q = 0.6 x 1.47 J

Q = 0.882 J

Final temperature of the coin

Q = mcΔθ

Q = mc (T - 25)

where;

0.882 = 0.003 x 389(T - 25)

0.756 = T - 25

T = 25.76 ⁰C

Thus, the final temperature of the coin is determined as 25.76 ⁰C.

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Answer:On a bicycle trail, the city is painting arrows like the one shown below:

Explanation:Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters.

The drift velocity v will give us the answer.

\(v = (5 V) / ((2x10^20 electrons/m³) * (2x10^-6 m²) * (1.6x10^-19 C))\)

To find the drift velocity of charges in the wire, we can use Ohm's Law, which states that the current flowing through a conductor is directly proportional to the applied voltage and inversely proportional to the resistance. The equation for Ohm's Law is:

I = V / R

Where:

I is the current flowing through the wire,

V is the applied voltage (in this case, 5 Volts),

R is the resistance of the wire (given as 10^2 Ohms).

Now, we need to calculate the current flowing through the wire using Ohm's Law. The current is the rate at which charges (electrons) move through the wire. The equation for current is:

I = n * A * v * q

Where:

n is the number of charges per unit volume (given as 2x10^20 electrons),

A is the cross-sectional area of the wire (given as 2 mm² or 2x10^-6 m²),

v is the drift velocity of the charges (what we need to find),

q is the charge of each electron (1.6x10^-19 C).

Rearranging the equation and solving for v, we have:

v = I / (n * A * q)

Substituting the given values:

v = (5 V) / ((2x10^20 electrons/m³) * (2x10^-6 m²) * (1.6x10^-19 C))

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This question is incomplete because the options are missing; here is the complete question:

A runner starts at point A, runs around a 1-mile track, and finishes the run back at point A. Which of the following statements is true?

A. The runner's displacement is 1 mile.

B. The runner's displacement is zero.

C. The distance the runner covered is zero.

D. The runner's speed was zero.

The answer to this question is B. The runner's displacement is zero

Explanation:

Displacement always implies a change of position; this means an object or individual moves from point A to point B, and therefore the original position is different from the final position. Additionally, in displacement, other related factors such as the total distance the body moved and the direction of movement. In the case presented, it can be concluded there was no displacement or the displacement is zero because even when the runner moved and ran two miles, he returned to the initial position, and without a change in the position, there is no displacement.

The following is a legitimate radioactive decay because both charge and mass number are conserved:

²¹²/₈₄Po = ²⁰⁸/₈₂Pb + ⁴/₂He.

Radioactivity, also known as radioactive decay, is a phenomenon in which certain atomic nuclei are spontaneously transformed into other atomic nuclei. Radioactive decay is a type of spontaneous decomposition that occurs when an unstable atomic nucleus emits particles, energy, or electromagnetic waves as a result of nuclear rearrangement.

Radioactivity is an extremely essential phenomenon in nuclear physics and is used in a variety of applications, including medicine, energy generation, and industrial processing. Gamma rays, beta particles, and alpha particles are examples of radiation that are released by radioactive materials.

In general, radioactive decay happens when an atomic nucleus emits alpha particles, beta particles, or gamma rays, resulting in the transformation of one nucleus into another. The equation is used to represent the process. Both the mass number and the charge must be conserved in radioactive decay. Alpha decay, beta decay, and gamma decay are the three forms of radioactive decay. Alpha decay, beta decay, and gamma decay are examples of radioactive decay that are common.

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Given,

The velocity of the spaceship in as observed by an observer at the earth, v=0.75c

The time interval as observed by the observer on the earth, t₁=2.5 s

The time elapsed in the ship's frame of reference is given by,

On substituting the known values,

Thus the time elapsed for an observer in the spaceship is 3.79 s

As the car accelerates from 10.0 m/s to 20.0 m/s, its kinetic energy increases, indicating that it has more energy due to its motion. Therefore, the initial kinetic energy of the car is 25,000 J and the final kinetic energy is 100,000 J .

The initial and final kinetic energies of the car can be determined using the formula KE = 0.5 x m x \(v^2\), where KE is the kinetic energy, m is the mass of the car, and v is the velocity.

For the initial kinetic energy, we can plug in the given values of m = 500 kg and v = 10.0 m/s into the formula:

KE(initial) = 0.5 x 500 kg x\((10.0 m/s)^2\)
KE(initial) = 25,000 J

This means that the car had a kinetic energy of 25,000 J before it started accelerating.

For the final kinetic energy, we can use the same formula but with the final velocity of 20.0 m/s:

KE(final) = 0.5 x 500 kg x \((20.0 m/s)^2\)
KE(final) = 100,000 J

This means that the car had a kinetic energy of 100,000 J after it finished accelerating.

The difference between the initial and final kinetic energies is 75,000 J. This difference represents the work done on the car by the engine to accelerate it from 10.0 m/s to 20.0 m/s.

It's important to note that kinetic energy is a scalar quantity, meaning it has magnitude but no direction. It's also a form of energy that an object possesses due to its motion. Therefore, as the car accelerates from 10.0 m/s to 20.0 m/s, its kinetic energy increases, indicating that it has more energy due to its motion.

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Explanation:

When the speed of sound near the ground is reduced, (such as on a cold day when the layer of air nearest ground is colder than the air above) the higher speed of the wavefronts above cause a bending of sound toward the ground.

Answer:

\( \sqrt[?]{?} \)

Answer:

1a) 857143 m

1b) 414 m

2a)

2b)

3) the medium of air has a wavelength of 0.334 m, the medium of water has a wavelength of 1.493 m, and the medium of 5.130 m.

Explanation:

Question 1a)

Given the velocity/speed, and frequency of the wave, the length can be calculated using these two quantites.

[ λ = v / f ] wavelength = velocity of the wave / frequency of the wave in Hz.

Since 3 × 10^8 × ms^-1 is the velocity, and 350Hz is the frequency.

Anything to the negative power is reciprocated. i.e ms^-1 = m/s.

The wavelength is 300000000m/350Hz = 857142.8571428..... m ≈ 857143 m

Question 1b) Given that the frequency of the second wave in water is 1% of the first wave, and the speed of the second wave is 1450ms^-1

Therefore the second wave has a frequency of 1% of 3.5 = 350/100 Hz = 3.5 Hz

The wavelength is found using the same

formula: wavelength = 1450m/3.5Hz = 414.2857142857.... m ≈ 414 m

Question 2a)

Question 2b)

Question 3) Remember, the speed of sound of the medium = frequency of the medium × wavelength of the medium.

Therefore the wavelength of the medium = speed of sound of the medium / frequency of the medium. This has a similar correlation to the wavelength formula. We are given that all these mediums have a frequency of 1KHz = 1000Hz, where So the wavelength of each medium =

Question 4)

Answer:

The object would continue to move upwards at the same angle.

Explanation:

Gravity is (generally) the only force acting on an object. To take this away, you would have no forces acting on the object.

According to Newton's 1st Law, it would therefore continue moving indefinitely.

I hope this helps!

Answer:

The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.

Explanation:

Hope it is helpful....

Answer:

constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.

Answer:

the higher up an object is, the more potential energy it has

Explanation:

The t-value to use in this case, at a 95% confidence level, is approximately 2.262.

To construct a 95% confidence interval for the population mean of tread remaining on the tires, we need to determine the t-value to use in this case.

Given a sample of 10 tires driven 50,000 miles, with a sample mean of 0.32 inches and a sample standard deviation of 0.09 inches, we can calculate the t-value.

Using the t-table for a 95% confidence level and degrees of freedom (df) equal to n - 1, where n is the sample size (10), we find that the critical t-value is approximately 2.262.

This t-value is used to determine the margin of error in constructing the confidence interval. With the provided data, the 95% confidence interval for the population mean of tread remaining on the tires is estimated to be between 0.296 inches and 0.374 inches.

Therefore, we can be 95% confident that the true mean tread remaining on the tires falls within this interval.

Confidence intervals, hypothesis testing, and statistical analysis to gain a deeper understanding of data interpretation and decision-making processes. Statistical tools and concepts provide valuable insights into various fields of study and research.

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Answer:

Electron, proton and neutron

Explanation:

In each and every atom they are consist of electron, proton and neutron.

The body's response to a cold involves various immune cells and processes. Here is a simplified flow chart depicting the step-by-step response:

This flow chart demonstrates the coordinated response of B cells, helper T cells, macrophages, mucus production, lymph, cytokines, receptor proteins, antibodies, memory cells, and plasma cells in combating a cold virus and eventually eliminating it from the body.

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Answer:

Explanation:

anyways

B) The nuclei of the atoms involved stay the same .

Nuclear Reactions are processes in which one or more nuclides are produced from a collision between two nuclei or one nucleus and a subatomic particle.

In a nuclear reactions the elements can change from one to another. Nuclei can break apart to form smaller elements. Nuclei can fuse together to make heavier elements. Neutrons can turn into protons and protons into neutrons. But this does not happen in a chemical reaction only composition of elements changes and  rearrangement of the molecular or ionic structure of a substance take place in a chemical reaction

hence , correct answer is B) The nuclei of the atoms involved stay the same .

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From the calculation, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude

VELOCITY AND ACCELERATION

The rate of change of displacement is called Velocity. While acceleration is the rate of change of velocity.

Given that  a race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds.

Since acceleration = \(\frac{Change in velocity}{time taken} \)

a = 1000(100 - 0)/6

a = 100000/6

a = 16666.67 m/\(s^{2} \)

And race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds.

acceleration =  \(\frac{Change in velocity}{time taken} \)

a = 1000(100 - 0)/5

a = 100000/5

a = 20000 m/\(s^{2} \)

From the calculation above, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude.

Race car A accelerates at 16666.67 m/\(s^{2} \), while race car B accelerates at 20000 m/\(s^{2} \)

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Answer:

Positive work is said to be done when the force acting on a body produces a displacement in the direction of the force. Negative work is said to be done when the force acting on a body produces a displacement opposite to the direction of the force

Explanation:

When the displacement of the body the in the direction of the force then the work done is positive. For example :- a man pushing a car in a straight path.

When the displacement is in a direction opposite to the direction of the force then the work done is said to be negative. For example :- work done by the friction.

Answer:

A

kinetic energy=(mv²)/2

(1/2)(mv²)

(mv²)*0.5

where m=mass and v=velocity/speed

Answer:

\(\Huge \boxed{\mathrm{13.5 \ Joules}}\)

Explanation:

\(\sf Kinetic \ energy \ (J)=\frac{1}{2} \cdot mass \ (kg) \cdot (velocity \ (m/s)) ^2\)

\(\mathrm{KE=\frac{1}{2} mv^2}\)

The mass of the ball is 3 kg.

The velocity of the ball rolling is 3 m/s.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 3^2}\)

Evaluating and solving for kinetic energy.

\(\mathrm{KE=\frac{1}{2} \cdot 3 \cdot 9}\)

\(\mathrm{KE=\frac{1}{2} \cdot 27}\)

\(\mathrm{KE} =13.5\)

The kinetic energy of the ball is 13.5 Joules.

Answer:

Kinetic energy =1/2mv^2.

1/2×3×3^2.

1/2×27=13.5 or 13 whole number 1/2.

Taking into account the definition of density, the volume of the sample of gold is 0.0646998 L.

Density is defined as the property that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

In this case, you know that:

Replacing in the definition of density:

19.32 g/cm³= 1250 g÷ volume

Solving:

19.32 g/cm³× volume= 1250 g

volume= 1250 g÷ 19.32 g/cm³

volume= 64.6998 cm³= 0.0646998 L (1 cm³= 0.001 L)

In summary, the volume of the sample of gold is 0.0646998 L.

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The fundamental frequency and harmonics of an instrument determine its timbre, with each instrument producing a unique combination of frequencies. The Fourier spectrum represents these frequencies and helps in understanding the differences in timbre among instruments.


1. Fundamental frequency: This is the lowest frequency produced by an instrument and is responsible for the pitch we perceive.
2. Harmonics: These are higher frequencies produced by the instrument, which are integer multiples of the fundamental frequency. They contribute to the overall sound or timbre of the instrument.
3. Timbre: It is the unique quality of a sound that distinguishes one instrument from another, even when they play the same pitch. Timbre is affected by the balance and mixture of fundamental frequency and harmonics.

Each instrument has a different way of producing sound, which results in varying harmonics and fundamentals. For example, a violin produces rich harmonics due to its string vibrations, while a flute has fewer harmonics due to its air column vibrations. This difference in fundamentals and harmonics leads to distinct timbres for each instrument.

The Fourier spectrum is a graphical representation of the frequency components in a sound wave. It shows the amplitude of each frequency component (fundamental and harmonics) and helps in understanding the different timbres of instruments. By analyzing the Fourier spectrum, we can identify the unique combination of frequencies that create the characteristic sound of each instrument.

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the induced emf in the loop is 5.445×10^-3 V.

The induced emf (ε) in the loop can be calculated using the formula:

ε = - dΦ/dt

where dΦ/dt is the rate of change of magnetic flux through the loop.

The magnetic flux through a circular loop of area A placed perpendicular to a uniform magnetic field B is given by:

Φ = BAcosθ

where θ is the angle between the magnetic field and the normal to the plane of the loop.

In this case, the area of the loop decreases at a rate of dA/dt = -7.26×10^-3 m^2/s. Assuming the loop is initially perpendicular to the magnetic field, the angle between the field and the normal to the loop is θ = 0. Therefore, the rate of change of magnetic flux through the loop is:

dΦ/dt = BdA/dtcosθ = (-0.75 T)(7.26×10^-3 m^2/s)(cos 0) = -5.445×10^-3 V

Thus, the induced emf in the loop is:

ε = - dΦ/dt = 5.445×10^-3 V

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Gas pressure is caused by gas molecules colliding with surfaces.

When gas molecules move and collide with the walls of a container, they exert a force on the walls, which causes the pressure of the gas in the container.

This is why gas pressure is often measured in units of force per unit area, such as pounds per square inch (psi) or pascals (Pa). While barometers can be used to measure gas pressure indirectly by measuring atmospheric pressure, the underlying cause of gas pressure is the collision of gas molecules with surfaces.

Thus, we can say that gas pressure is caused by gas molecules colliding with surfaces.

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Answer:

D Hookworm

Explanation:

The force exerted by the puppy on the right. When the puppy pulled the toy violently, it applied a significant force to overcome the resistance from the puppy on the left and ultimately caused the toy to break. The energy required to break the toy came from the work done by the puppy on the right as it pulled on its end of the toy.

In this scenario, energy is transferred from the puppy's muscles to the toy through the pulling action. The puppy's muscles convert chemical energy stored in food into mechanical energy, which is then used to exert a force on the toy. This force, applied over a distance, does work on the toy and transfers energy to it.

It's important to note that the toy breaking is a result of the forces and energy involved in the interaction between the two puppies. The violent pull from the puppy on the right exceeded the strength of the toy, causing it to break.

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Answer:

brush

Explanation:

its correct

Answer:

B. Brush

Explanation:

Edg 2021

The particle passes through the region between the plates in zero seconds, and its vertical displacement from its entry height is zero millimeters.

To solve this problem, we can use the equations of motion and the electric force experienced by a charged particle in an electric field.

a) First, we need to find the vertical acceleration of the particle due to the electric field. The electric force experienced by the particle is given by F = qE, where q is the charge and E is the electric field. Substituting the given values, we have F = (5e)(43 kN/C) = 215 keN.

The vertical acceleration can be found using Newton's second law, F = ma, where m is the mass of the particle and a is the acceleration. Rearranging the equation, we have a = F/m = (215 keN) / (6.1 × 10⁽⁻²⁶⁾ kg) = 3.52 × 10²⁹ m/s².

Since the initial vertical velocity of the particle is zero, we can use the equation of motion y = y0 + v0t + (1/2)at² to find the time it takes for the particle to pass through the region between the plates.

Here, y0 is the initial vertical position, v0 is the initial vertical velocity, and y is the final vertical position. Since the particle is injected midway between the plates, y0 = 0 and y = 0. Therefore, we have 0 = 0 + 0 + (1/2)(3.52 × 10²⁹ m/s²)t². Solving for t, we get t = 0.

b) Since the particle is injected midway between the plates and exits at the same height, the magnitude of its vertical displacement from its entry height is zero.

In conclusion, the particle passes through the region between the plates in zero seconds, and its vertical displacement from its entry height is zero millimeters.

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The average acceleration of the bike is 2.2 m/s²

Acceleration, rate at which velocity changes with time, in terms of both speed and direction.

A point or an object moving in a straight line is accelerated if it speeds up or slows down.

According to the question,

Given, initial velocity, u=3.0m/s and final velocity v=8.5 m/s

Time = 2.5 seconds

If a be the acceleration.

a = \(\frac{v-u}{t}\)

a = \(\frac{8.5 - 3.0}{2.5s}\)

⟹ a=2.2 m/s²

So, The average acceleration of the bike is 2.2 m/s²

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