An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the nearest tenth of a meter per second. ) 0. 9 m/s 1. 2 m/s 8. 7 m/s 10. 1 m/s.

Electrons, are responsible for the negative charge of an atom. Protons, on the other hand, have a positive charge and are responsible for the positive charge of an atom.  So option: 4 is correct.

Electric charge is a fundamental property of matter that determines how particles interact with each other. There are two types of electric charges: positive and negative. Particles that have the same type of charge repel each other, while particles with opposite charges attract each other. The electric charge of a particle is a conserved quantity, meaning it cannot be created or destroyed, only transferred from one particle to another.  Therefore, the Option:  4, is fundamental concept in understanding the behavior of electric charges and their sources.

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--The complete Question is, Some properties of the particles that are sources of electric charge include group of answer choices

1. electric charge comes in bundles of any size.

2. electrons usually move freely within a solid material

3. protons carry a negative charge, electrons carry a positive charge.

4. electrons carry a negative charge, protons carry a positive charge. --

The features the scientist is likely to see are:

Based on the fact that a coral reef is an underwater ecosystem that contains different animals and species, they contain a colony of coral polyps.

This refers to the underwater ecosystem that contains different animals and species.

Hence, we can see that based on the fact that a scientist is studying the outer reef section of a coral reef, he would see the distinct characteristics of the coral and these are the:

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Answer:

0.675

Explanation:

hope you get it right

Answer:

\(0.675\:\mathrm{s}\)

Explanation:

Displacement can be given as \(\Delta x=v_x\cdot t\)

Substituting given values, we have:

\(27=40t,\\t=\frac{27}{40}=\boxed{0.675\:\mathrm{s}}\)

The first immediate step in treating clients in crisis is to assess their safety and stabilize their situation.

When a client is in crisis, it is important to assess the situation and provide immediate support. Be sure to remain calm and provide emotional support while listening to the client and understanding their needs. It is also important to assess any risks to safety and help the client access any resources they may need.

Making sure the clients are in a safe environment and providing any immediate medical attention if needed. Once the client is stabilized, the next steps can include providing emotional support, helping them develop coping skills, and connecting them with resources for long-term support. It is important to remember that each client's situation is unique and may require different types of support and intervention.

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The general (implicit) solution to Stefan's equation is given by:

ln((M^2 + T^2)/(M^2 - T^2)) = 2σt + 2C, where C is the constant of integration.

To solve Stefan's equation, we can separate the variables and integrate both sides. Let's proceed with the steps:

First, rewrite the equation as follows:

(1/(M^4 - T^4)) * dT/dt = σ

Now, we integrate both sides with respect to t:

∫(1/(M^4 - T^4)) * dT = ∫σ * dt

The left side of the equation requires integration by partial fractions. The integral can be expressed as:

1/(M^4 - T^4) = A/(M^2 + T^2) + B/(M^2 - T^2)

To determine the constants A and B, we can use the method of partial fractions. Multiply through by (M^4 - T^4) and then equate the numerators:

1 = A(M^2 - T^2) + B(M^2 + T^2)

Expanding and rearranging, we have:

1 = (A + B)M^2 + (A - B)T^2

Equating the coefficients of the powers of T, we get:

A + B = 0 (coefficient of T^2)

A - B = 1 (constant term)

Solving these equations simultaneously, we find A = 1/2 and B = -1/2.

Substituting the partial fraction decomposition back into the integral, we have:

∫(1/(M^4 - T^4)) * dT = ∫(1/2)*((1/(M^2 + T^2)) - (1/(M^2 - T^2))) * dT

Integrating both sides, we obtain:

(1/2) * (ln(M^2 + T^2) - ln(M^2 - T^2)) = σt + C

where C is the constant of integration.

Finally, solving for T, we can write the general (implicit) solution to Stefan's equation as:

ln((M^2 + T^2)/(M^2 - T^2)) = 2σt + 2C

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Answer:

yes kinetic energy will be affected it will get increased 16 times.

Explanation:

Answer:

When the net force on an object decreases, the object's acceleration decreases.

Explanation:

i know

To find the distance traveled using the equation d=1/2at^2, the value you should use for "a" is the acceleration.

Acceleration is the rate at which an object changes its velocity over time.

Mathematically, acceleration is defined as the change in velocity (Δv) divided by the time interval (Δt) over which the change occurs. It can be expressed using the following equation:

a = (Δv) / (Δt)

where "a" represents acceleration.

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In the distance equation d=1/2at^2, 'a' stands for acceleration, which could be given directly or calculated from provided data using the formula a = (vf - vo) / t. Its value would depend largely on the specifics of the problem.

In the distance equation d=1/2at2, 'a' stands for acceleration. This equation is utilized when the acceleration is constant and it corresponds to physics' laws of motion. The exact value that should be used for 'a' will rely mainly on the details provided in the problem. The acceleration value might be given directly, or it may be deduced from other information.

For instance, if you are given data on the initial and final velocity, and the time it took for this change (let’s say vo is your initial velocity, vf is your final velocity, and t is the time taken), you could calculate acceleration using the formula a = (vf - vo) / t. Whatever value you find or is given would be 'a' in the distance equation.

The unit of acceleration is meters per second squared (m/s2) in the International System of Units (SI). A positive value for 'a' indicates speeding up or accelerating, while a negative value would represent slowing down or decelerating.

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Answer

c. repels magnet

Answer:

2.8

Explanation:

power=work done/time

so, to calculate time

we know,

time(s)=work done(j)/power(w)

=350/125

=2.8

The change in height of the mercury column for a temperature change of 26 °C is 0.000175 cm.

Mercury is the smallest and innermost planet in the Solar System. It is about one-third the size of the Earth and has no moons. It has a very thin atmosphere consisting almost entirely of a small amount of helium and sodium. Mercury's surface is heavily cratered and is similar in appearance to Earth's Moon. It has a very large iron core that makes up most of its mass.

The change in height of the mercury column is given by the equation:
Δh = V * β * ΔT
Where V is the volume of the mercury, β is the volume expansion coefficient of mercury, and ΔT is the change in temperature.
The volume of the mercury can be calculated as follows:
V = π * r² * h
Where r is the radius of the bulb and h is the height of the mercury column.
Substituting these values into the equation, we get:
Δh = π * (0.37/2)² * 0.0057 * 0.000182 * 26
Δh = 0.000175 cm
Therefore, the change in height of the mercury column for a temperature change of 26 °C is 0.000175 cm.

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Answer:

A

Explanation:

Correct option is A)

We know that pressure of a gas is inversely proportional to its volume (Boyle's Law). So, one of the gas equations can be written as-

P  1 V  1  =P  2 V  2  , where P  1  and V  1 are the initial conditions of pressure and v olume of a gas. And P  2  and V  2  are the final conditions of pressure and volume of the gas. In the question given, P 1  is 5atm. The value of V  1 IS 25L. The final pressure is unknown and let it be P  2 , whereas, the final volume is reduced to 5L. Putting all these values in the above mentioned equation we get, P  1  V  1 =P  2  V  2  Or, 5×5=P 2 ×5  Or P  2  =  5 125 P  2 = 25 atm.

Answer:

Electrical energy is caused by moving electric charges called electrons. The faster the charges move, the more electrical energy they carry. As the charges that cause the energy are moving, electrical energy is a form of kinetic energy. Lightning, batteries and even electric eels are examples of electrical energy in action!

Explanation:

Answer:

2 to 4 hours

Explanation:

Given that,

Microbial food infections

We know that,

Food infection :

When we eat old food, uncooked, fermented food, more junk food and contaminated food then 2 to 4 hours after eating we started vomiting, headache then we affected by food infections.

So, we can say that microbial food infections are usually not seen until 2 to 4 hours after eating contaminated food.

Answer:

C

Explanation:

Prevents further damage to the network cable.

Answer:

The actual height of the tree is 28 m

Explanation:

The given information are;

The length of the shadow of an upright meter rule = 25 cm

The actual height of the meter rule = 100 cm

The length of the shadow of the tree = 7 m

The actual  height of the tree  = h

We have

\(\dfrac{The \ length \ of \ the \ shadow \ of \ an \ upright \ metre \ rule}{The \ actual \ height \ of \ the \ metre \ rule} = \dfrac{The \ length \ of \ the \ shadow \ of \ the \ tree}{The \ actual \ height \ of \ the \ tree}\)Which gives;

\(\dfrac{25 \ cm}{100 \ cm} = \dfrac{7 \ m}{The \ actual \ height \ of \ the \ tree}\)

Therefore;

\(The \ actual \ height \ of \ the \ tree = 7 \ m \times \dfrac{100 \ cm}{25\ cm} = 7 \ m \times 4 = 28 \ m\)

That is the actual height of the tree = 28 m.

Answer:

Mass is the amount of matter in a substance.

Explanation:

The basic SI unit for mass is the kilogram (kg).

Should a 40-kg youngster sit for a 60-kg uniform board's scale to read zero at x = 0.61 m from the left end Support for the 2.4 m long piece comes from a pivot 80 cm from the left end and a scale at the right end.

Given the information that M = 60 kg and m = 40 kg, Force is viewed as a reading. The provided pivot point's torque, N, is equal to Force*(2.4 - 0.80) = 1.6 Force. (counterclockwise)

0.4*60*9.8 = 235.2 N-m is the torque of magnesium about the specified pivot point (clockwise)  

Mass m should be positioned to the left scale of the pivot, and its torque should be calculated as follows:

mg*(0.80 - x) = 40*9.8*(0.80 - x) = 392

when Force = 100 N

note 1.6Force = 160 235.2 (0.80 -x)

160 + 392(0.8 - x) = 235.2

x = 0.61 m

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Answer:

-10°C = 263 Kelvin

Explanation:

Given the following data;

To convert the value of the temperature to Kelvin;

Temperature can be defined as a measure of the degree of coldness or hotness of a physical object. It is measured with a thermometer and its units are Celsius (°C), Kelvin (K) and Fahrenheit (°F).

Next, we would convert the temperature in degree Celsius to Kelvin by using the following mathematical expression;

Kelvin = 273 + °C

Substituting into the formula, we have;

Kelvin = 273 + (-10)

Kelvin = 273 - 10

Kelvin = 263 K

A decigram and a dekagram are both units of mass in the metric system, but they differ in magnitude. A decigram is a smaller unit of mass, while a dekagram is a larger unit of mass.

The decigram (dg) is equal to one-tenth of a gram (1 dg = 0.1 g). It is commonly used for measuring small amounts of substances or for precise measurements in laboratory settings. For example, a typical paperclip has a mass of approximately 1 gram, which is equivalent to 10 decigrams.

On the other hand, the dekagram (dag) is equal to ten grams (1 dag = 10 g). It is a larger unit of mass and is often used to measure quantities of food or ingredients in cooking. For instance, a typical serving of meat may weigh around 100 grams, which is equivalent to 10 dekagrams.

Therefore, the relationship between a decigram and a dekagram is that a dekagram is ten times larger than a decigram. They represent different magnitudes of mass within the metric system, with the decigram being smaller and the dekagram being larger.

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Answer:

Solution,

Displacement(s)=200 m

Initial velocity (u)=?

Final velocity(v)=0 m/s^2

acceleration due to gravity(g)=-9.8 m/s^2

now,

\( {v}^{2} = {u}^{2} + 2as \\ {(0)}^{2} = {u}^{2} + 2 \times ( - 9.8) \times 200 \\ {u}^{2} = 2 \times 9.8 \times 200 \\ {u}^{2} = 3920 \\ u = \sqrt{3920} \\ u = \sqrt{ {62.6}^{2} } \\ u = 62.6 \: metre \: per \: second\)

Again,

Finding time taken,

\(v = u + at \\ t = \frac{v - u}{a} \\ = \frac{0 - 62.6}{ - 9.8} \\ = \frac{ - 62.6}{ - 9.8} \\ = 6.39 \: seconds\)

Hope this helps...

Good luck on your assignment...

The right end of the conductor will be positive.

What is charging by conduction ?

The charging by induction process is where the charged particle is held near an uncharged conductive material that is grounded on a neutrally charged material. The charge flows between two objects and the uncharged conductive material develop a charge with opposite polarity.

When an uncharged object is placed very close to a charged conductor without touching, the nearer end acquires a charge opposite to the charge on the charged conductors and the two bodies attract. This is called charging by induction. The net charge on the bodies remains the same and body is charged until they are kept close or brought in contact.  

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To solve this problem, we can use the equations of motion and Newton's second law of motion. The equation of motion for an object moving at constant speed is:

x = x0 + v0t + (1/2)at^2

where x is the final position, x0 is the initial position, v0 is the initial velocity, t is the time, and a is the acceleration.

In this case, the initial position is 0 m (since the crate starts at the beginning of the 12 m distance), the initial velocity is 0 m/s (since the crate starts at rest), and the time is 12 s (since the crate moves at a constant speed of 1.50 m/s).

We can use these values to solve for the acceleration:

12 m = (1/2)(a)(12 s)^2

a = 0.5 m/s^2

Now that we know the acceleration, we can use Newton's second law of motion to find the normal force:

F = ma

N = (20 kg)(0.5 m/s^2)

N = 10 N

This is the magnitude of the normal force on the crate. Note that this is the normal force exerted by the floor on the crate, not the force of tension in the rope. To find the force of tension in the rope, we would need to consider the angle of the rope and the direction of the force.

The wheels on a bicycle have a 10 inch radius. If the bike must travel exactly 2000 inches, the number of revolutions the wheel would make will be 31.85 revolutions.

The perimeter of the circle is called the circumference of circle.

Given, radius of the wheel = 10 inches

Diameter of the wheel = 20 inches

Length required to cover = 2000 inches

For one revolution, distance equal to the circumference moved.

1 rev = π D

1 rev = π * 20

1 rev = 62.8 inches

Number of revolutions to travel 2000 inches is 2000/62.8 = 31.85 rev

Thus, the number of revolutions required are 31.85 rev.

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The resistance of the filament which carries the current of 2 A and has a potential difference of 10 V is b) 5 ohms

The current passing through the filament = 2A

The potential difference in the filament = 10 V

The resistance of the filament can be found using the formula,

                  R = V/I

where R is the resistance of the filament

           V is the potential difference between the filament

           I is the current passing through the filament

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

               R = 10 / 2

                  = 5 ohms

Therefore, the resistance of the filament is 5 ohms

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you used 4,320 mg of table salt on your food.

To solve the problem, we need to use the density of table salt and the volume used to calculate the mass of salt used in grams. The density of table salt is given as 2.16 g/ml, and the volume used is 2.00 ml. We can use the formula Density = Mass / Volume to find the mass of salt used. Rearranging the formula to solve for mass, we get Mass = Density × Volume.Substituting the given values into the formula, we get Mass = 2.16 g/ml × 2.00 ml = 4.32 g. However, the question asks for the mass in milligrams, so we need to convert the answer from grams to milligrams. We know that 1 g is equal to 1,000 mg, so we can multiply the answer by 1,000 to convert it to milligrams.Multiplying 4.32 g by 1,000 mg/g, we get 4,320 mg. Therefore, you used 4,320 mg of table salt on your food.

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If a negatively charged object, initially at rest, feels a force in the +x direction, the object will move in the x direction (option c).

This is because the object is negatively charged, and the force is in the +x direction, which means that the direction of the force is opposite to the direction of the electric field. Since the object is negatively charged, it will move in the direction of the electric field, which is in the opposite direction to the force. Therefore, the object will move in the opposite direction to the force, which is in the x direction.
It's important to note that if the object was positively charged, it would move in the +x direction (option b) because the direction of the force and electric field would be the same. However, since the object is negatively charged, the force and electric field are opposite in direction, and thus the object moves in the opposite direction to the force.
Option a is incorrect because the object will move, not remain stationary. Option d is incorrect because the object will only move in the opposite direction to the force. Option e is also incorrect because there is no force acting in the y direction.

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Given the data from the question, the heat gained by the water, the rate of energy transfer and the initial temperature of the iron are:

A. The energy gained by the water is 37656 J

B. The average rate of energy transfer from

the iron sphere to the water is 125.52 J/s (Watts)

C. The initial temperature of the iron

sphere is 65.4° C

Q = MCΔT

Q = 3000 × 4.184 × 3

Q = 37656 J

Power = energy / time

Power = 37656 / 300

Power = 125.52 J/s (Watts)

Q = CT

37656 = 576 × T

Divide both side by 576

T = 37656 / 576

T = 65.4° C

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The given problem can be solved using the following free-body diagram:

The diagram is the free-body diagram for the pulley that is holding the weight. Where:

Now we add the forces in the vertical direction:

Adding like terms:

Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:

Now we solve for "T" by adding "mg" from both sides:

Now we divide both sides by 2:

Now we substitute the values and we get:

Solving the operations:

Now we use the free body diagram for the second pulley:

Now we add the forces in the vertical direction:

The forces add up to zero because the velocity is constant and the acceleration is zero:

Solving for the force:

Therefore, the pulling force is equal to the tension we determined previously and therefore is:

we get (a) Central limit theorem ; (b) expected value of T = 1403; (c) Standard deviation = 400;

(d) Probability of T greater than 1400 is 0.5038 ;(e) 98th percentile is 1803 ; (f) standard deviation of M = 0.2 (g) Probability of M = 0.5793 (h) Variance of 93M = 345.96

In brief :

a) Central Limit Theorem (CLT) is a theorem that will let us treat T and M as approximately normal random variables.

CLT establishes that the mean of a sufficiently large sample from any population has an approximately normal distribution, regardless of the population's shape.

b) The expected value of T is given by μT = 100 * μ = 100 * 14.03 = 1403.

c) The standard deviation of T is given by σT = √(100 * σ²) = √(100 * 2²) = 400.

d) The z-score is given by (1400 - 1403)/400 = -0.0075. Using the z-table, we find the area to the right of the z-score as 0.5038.

Therefore, the approximate probability that T is greater than 1400 is 0.5038.

e) To find the 98th percentile of the approximate distribution of T, we need to find the z-score corresponding to the area of 0.98 in the standard normal distribution. Using the z-table, we find this z-score to be 2.05.

Therefore, the 98th percentile of the approximate distribution of T is 1403 + 2.05 * 400 = 1803.

f) The standard deviation of M is given by σM = σ/√n = 2/√100 = 0.2.

g) The z-score is given by (13.99 - 14.03)/0.2 = -0.2.

Using the z-table, we find the area to the right of the z-score as 0.5793. Therefore, the approximate probability that M is greater than 13.99 is 0.5793.

h) The variance of 93M is given by (93)² * Var(M) = (93)² * (σ²/n) = (93)² * (2²/100) = 345.96.

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