What is the average velocity of the object between 14 and 22 seconds answer?

To determine if copper is harder than the plastic of a cup, a scratch test can be performed where copper is used to scratch the plastic. If the copper marks the plastic, it's harder; no mark indicates the plastic is harder.

To find out whether copper is harder or softer than the plastic used in a plastic cup, you can perform a scratch test. This involves trying to scratch the surface of the plastic cup with a piece of copper. If the copper leaves a mark, it is harder than the plastic. If not, then the plastic is the harder material. As copper is a metal with a relatively well-defined hardness on the Mohs scale, it's expected to be harder than most common plastics which are lower on the scale and tend to be softer. However, the scratch test results might vary based on the type of plastic used in the cup.

It's important to consider the physical and chemical properties of both materials to understand their relative hardness. Unlike measuring thermal conductivity, where a metal spoon heats faster than a plastic spoon, a scratch test directly assesses hardness.

The Gold foil experiment by Rutherford discovered the atomic nucleus and protons. Protons are positively charged particles and will pass to the negative end. Hence, the alpha particles pass through electron cloud.

Gold foil experiment conducted by Rutherford was leading to the discovery  of positively charged particles later called protons and the core of the atom called the nucleus in which protons are located.

Rutherford forwarded an atomic model known as nuclear model. In his experiment, the alpha particles was deviating due to repulsion  from the the metal foil and they passed through the negative charged electron cloud.

Rutherford later called this positively charged particles as protons and he found that they are located in the inner core of the atom called nucleus. Therefore, option C is correct.

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The guy  below me is wrong the correct answer is intrusive igneous rock

A moving walkway at an airport has a speed [tex]v_1[/tex] and a length l, time taken by the woman to travel I on the moving walkway: [tex]\(\dfrac{l}{v_1}\)[/tex], time taken by the man to travel I on the moving walkway: [tex]\(\dfrac{l}{v_2 + v_1}\)[/tex]

(a) The time it takes for the woman to travel the distance I on the moving walkway can be calculated using the formula:

[tex]\[ \text{Time} = \dfrac{\text{Distance}}{\text{Speed}} \][/tex]

Given that the woman is standing on the walkway, her speed relative to the walkway ([tex]\(v_{\text{rel,woman}}\)[/tex]) is the same as the walkway's speed ([tex]\(v_1\)[/tex]):

[tex]\[ v_{\text{rel,woman}} = v_1 \][/tex]

Thus, the time taken by the woman is:

[tex]\[ \text{Time}_{\text{woman}} = \frac{l}{v_1} \][/tex]

(b) The time it takes for the man to travel the distance I on the moving walkway can be calculated in a similar manner.

His speed relative to the walkway ([tex]\(v_{\text{rel,man}}\)[/tex]) is the sum of his walking speed ([tex]\(v_2\)[/tex]) and the walkway's speed ([tex]\(v_1\)[/tex]):

[tex]\[ v_{\text{rel,man}} = v_2 + v_1 \][/tex]

The time taken by the man is:

[tex]\[ \text{Time}_{\text{man}} = \dfrac{l}{v_{\text{rel,man}}} \][/tex]

Thus, time taken by the woman to travel I on the moving walkway: [tex]\(\dfrac{l}{v_1}\)[/tex].

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The woman will take l/v1 time units to travel the distance l on the moving walkway, while the man will take l/(v1+v2) time units.

To determine how long it takes for the woman to travel the distance l on the moving walkway, we need to consider her relative speed. The woman's speed is equal to the speed of the walkway (v1) since she is stationary on it. Therefore, she will take l/v1 time units to travel the distance l.

For the man, his speed is the sum of his walking speed (v2) and the speed of the walkway (v1) since he is walking on it. Therefore, he will take l/(v1+v2) time units to travel the distance l.

The acceleration of air when you sneeze, accelerating from rest to approximately 44.44 m/s (160 km/hr) in about 0.55 seconds, is 80.8 m/s².

When you sneeze, the air in your lungs accelerates from rest to approximately 160 km/hr, which is equal to ≈ 44.44 m/s (since 1 km/hr is equivalent to ≈ 0.27778 m/s). To find the acceleration of the air, we use the formula:

a = (v - u) / t

Where a is acceleration, v is final velocity, u is initial velocity (which is 0 m/s in this case, as the air starts from rest), and t is the time over which acceleration occurs. Plugging in the values gives us:

a = (44.44 m/s - 0 m/s) / 0.55 s = 80.8 m/s²

Therefore, the acceleration of the air in m/s² when you sneeze is 80.8 m/s².

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Final answer:

The density of a marble block with a mass of 824 g and volume of 236 cm³ is calculated by dividing mass by volume, resulting in approximately 3.4915 g/cm³.

Explanation:

The density of an object can be calculated using the formula density = mass/volume. In this case, we are given that the mass of the block of marble is 824 grams and it occupies a volume of 236 cm³. To find the density in units of grams per cubic centimeter (g/cm³), we simply divide the mass by the volume.
Using the formula:

Density = mass / volume

Density = 824 g / 236 cm³

Density = 3.4915 g/cm³ (rounded to four decimal places)

Therefore, the density of the marble block is approximately 3.4915 g/cm³.

The critical value of the coefficient of static friction (μs) is calculated by dividing the maximum static friction force by the normal force. This critical value represents the point at which a person is unable to exert enough force to overcome the maximum static friction and initiate movement of the object.

To calculate the critical value of

, we need to understand the relationship between the maximum static frictional force (fs(max)) and the normal force (N). The maximum static friction can be represented as

fs(max) =  N.

This means that static friction increases to match the applied force until it reaches a maximum value, beyond which the object will move. In the provided scenario, the maximum static frictional force required to move the crate is 440 N, with a given normal force due to gravity of 980 N. The coefficient of static friction was given as 0.45. From this, we have the equation 440 N = 0.45 * 980 N.

The critical value  occurs when a person is unable to exert a force greater than the maximum force of static friction. If, for example, a person can only exert a force less than 440 N, the critical coefficient  would have to be such that the maximum static friction force (N) equals the maximum force the person can exert, thus preventing the initiation of motion.

To determine this critical value, we would set the person's maximum possible force to equal fs(max), solving for

as follows: fs(max) =  N. If the maximum possible force exerted by the person is less than 440 N, say 400 N, the critical

would be 400 N / 980 N, which yields a critical value greater than the original  of 0.45.

The metric system base units for mass, volume, time, length, and temperature would be kilograms ,meter³,second, meter, and Kelvin respectively.

A recognized and accepted standard for measuring other amounts of the same sort is referred to as a unit of measurement. It is predetermined by custom or law.

The metric system base unit for mass would be kilogram.

The metric system base unit for volume would be meter³.

The metric system base unit for time would be second.

The metric system base unit for length would be a meter.

The metric system base unit for temperature would be Kelvin.

Kilograms, meters3, seconds, meters, and Kelvin are the corresponding basic units for mass, volume, time, length, and temperature in the metric system.

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If the applied force on the pulley is 120 N and if the force applied by the pulley is 800 N then the mechanical advantage will be equal to 6.67 N.

The force amplified by utilizing a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the desired output force amplification, the gadget trades off input pressures against movement.

The law of lever serves as a paradigm for this. Mechanisms are machine parts made to control forces and motion in this way.

An ideal transmission system does not increase or decrease power. Consequently, the ideal machine is devoid of a power source, frictionless, and built from inflexible materials that do not flex or wear.

As per the given information in the question,

Use the formula of mechanical advantage,

[tex]M.A =\frac{F_o}{F_i}[/tex]

Substitute the values in the above formula,

M.A = 800/120

M.A = 6.67 N.

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Final answer:

The universe is vast and complex with billions of galaxies and stars. It displays an astonishing degree of order with regular laws governing planetary motion and precise arrangements in living organisms. Dark matter, a mysterious form of matter that does not emit light, is also present in the universe.

Explanation:

The major characteristics of the universe in terms of time, distance, and organization are as follows:

The universe is vast and complex, consisting of approximately 10¹¹ galaxies in the observable part. An average galaxy contains more than 10¹¹ stars, with our Milky Way galaxy being larger than average.

The universe displays an astonishing degree of order, with regular laws governing the motion of planets around the sun and the precise arrangement of animals' parts to serve their purposes.

There is evidence of a large amount of additional matter in galaxies called dark matter, which does not produce light and is still being studied.

These characteristics provide insights into the vastness, orderliness, and complexity of our universe.

Answer;

B. Bourdon gage—indicate steam pressure in a furnace

Explanation;

-Bourdon gauge is an instrument for measuring the pressure of gases or liquids, consisting of a semicircular or coiled, flexible metal tube attached to a gauge that records the degree to which the tube is straightened by the pressure of the gas or liquid inside.

-The Bourdon pressure gauge operates on the principle that, when pressurized, a flattened tube tends to straighten or regain its circular form in cross-section.

-When a gauge is pressurized, the Bourdon creates the dial tip travel to enable pressure measurement. The higher the pressure requirement of the application, the stiffer the Bourdon tube needs to be, which means Bourdon wall thickness and diameter are key considerations for enabling the required tip travel to traverse the necessary movement and, thus, facilitate pressure measurement accuracy.

C. +Q, +W

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Final answer:

The correct signs of heat and work when a balloon expands due to heating are +Q for heat absorbed by the gas and -W for work done by the gas on the surroundings, making the correct option A. +Q, -W.

Explanation:

When the gas in a balloon is heated, it expands and does work on its surroundings. According to thermodynamic conventions, when a system (like the gas in a balloon) does work on its surroundings, this work is assigned a negative sign (W < 0). Simultaneously, as the gas is heated, it absorbs heat (Q > 0), which is indicated by a positive sign. Therefore, the correct signs for heat and work for the expanding balloon are +Q for heat absorbed and -W for work done by the gas on its surroundings. The answer that correctly represents these signs is A. +Q, -W.

The acceleration of an object is not inversely proportional to the net force; it is directly proportional to the net force and inversely proportional to the mass of the object.

The statement that the acceleration of an object is inversely proportional to the net force acting on it is false. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This law is often expressed with the formula a = F/m, where a is acceleration, F is the net force, and m is the mass of the object.

Answer:

Explanation:

For anyone in UsaTestPrep it is D) appoint church positions The "investiture struggle" of the 11th and 12th centuries that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the church and state over who had the power to appoint church positions. Pope Gregory VII later excommunicated King Henry IV over this issue and it led to a weakening in the Holy Roman Empire therefore it is D.  

Answering the question, the "investiture struggle" that took place between Pope Gregory VII and King Henry IV symbolized the struggle between the secular and religious power over who had the power to appoint church positions.

The investiture struggle was a conflict between religious and secular powers in the middle ages. The conflict started as a disagreement between Pope Gregory VII and King Henry IV over who should appoint church positions.

The controversy resulted in many years of conflict in Germany. The conflict between Gregory VII and King Henry started when the latter became the pope in 1703. At the time Gregory VII was elected as the pope, some of the rank and file officials of the German clergy were not on the page with him, they hate each other.

Therefore, because of the enormity between them, King Henry declares Gregory was not fit to be the pope and therefore ask Roman to elect a new pope.

When the news got to Gregory, he excommunicated King Henry, he announced the removal of Henry as the emperor and asked his subjects no to comply with the order of King Henry.

The conflict led to many years of hatred and caused a civil war that lasted for over fifty years in Germany.

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Final answer:

Temperature affects the evaporation rate of water as higher temperatures provide more energy for evaporation. This phenomenon is exemplified by perspiration from the skin which requires more heat input than the latent heat of vaporization at 100 °C, showcasing an effective cooling mechanism in hot weather.

Explanation:

Temperature affects the evaporation rate of water. The higher the temperature, the faster the water molecules move, and the more likely they are to escape and evaporate. This is because the kinetic energy of water molecules increases with temperature, providing more energy for evaporation.

For example, at body temperature, perspiration from the skin requires more heat input than the latent heat of vaporization at 100 °C. This heat comes from the skin, resulting in an effective cooling mechanism in hot weather.

However, it's important to note that temperature is not the only factor that affects evaporation. Other factors like humidity and surface area of contact between air and water also play a role.

To control the momentum your car carries in a potential crash, get your car installed with good quality air bags.

Momentum is defined as the product of mass and velocity.

Given is to find how to control the momentum your car carries in a potential crash.

The one thing you can do is to get your car installed with good quality air bags. Air bags reduce the momentum of the body by a substantial level.

Therefore, to control the momentum your car carries in a potential crash, get your car installed with good quality air bags.

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Answer: B. magnetic field

Explanation:

Wind blows when there is difference in air pressure i.e. in the area having pressure gradient, wind blows from high pressure area to low pressure area. Force of friction slows the speed of the wind. Thus it is responsible for motion of air. Coriolis effect causes the circular motion of the air. The Coriolis effect changes the direction of the wind.

Thus, from the given options, only the magnetic field does not influence the wind. Magnetic field effects the charged particles or magnetic materials not the wind.  

The acceleration of a car moving along a straight-line path that increases its speed from zero to 100 km/hr in 10 seconds would be 2.77 m /s² .

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, we have to find  the acceleration of a car moving along a straight-line path that increases its speed from zero to 100 km/hr in 10 seconds,

100 km / hr = 100 × 1000 / 3600

                   = 27.77 m / s

By using the first equation of the motion,

v = u + at

27.77 = 0 + 10a

a = 2.77 m /s²

Thus, the acceleration would be 2.77 m /s².

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The required dosage of drugs for 115-lb person is 312.90 mg.

Given data:

The dosage of drug is, p = 6.00 mg/kg body mass.

The given problem is based on the concentration of drugs required for the given mass of body.

According to the question,

1 kg mass of body  = 6.00 mg of drug concentration

And we are given the weight of person as 115 lb.

So, convert this value of pound into kg as,

1 lb = 0.4535 kg

[tex]m = 115 \times 0.4535\\\\m = 52.15 \;\rm kg[/tex]

So, the dosage of drug required for the 52.15 kg of mass is,

[tex]p' = m \times p\\\\p' = 52.15 \times6.00\\\\p' = 312.90 \;\rm mg[/tex]

Thus, we can conclude that the required dosage of drugs for 115-lb person is 312.90 mg.

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The elixophyllin dose for a 115-lb person is 313 mg to avoid overdosing.

Total body mass = 6.00 mg/kg

To calculate the dose of elixophyllin for a 115-lb person, firstly, we need to convert the person's weight from pounds to kilograms.

Knowing that 1 pound is equivalent to 0.453592 kilograms, we do the following calculation:

115 lbs x 0.453592 kg/lb

= 52.16258 kg

Next, we use the recommended dose which is 6.00 mg of elixophyllin per kilogram of body mass:

6.00 mg/kg x 52.16258 kg

= 313.97548 mg

To ensure we provide a safe dose and avoid overdosing, we generally round down to the nearest whole number.

Thus, the appropriate dose for a 115-lb adult would be 313 mg of elixophyllin.

Answer:

3 × 10⁴

Explanation:

We are given two numbers, [tex]n_1=9\times 10^{-5}[/tex] and [tex]n_2=3\times 10^{-9}[/tex]

We have to divide n₁ by n₂. We know that,

[tex]\dfrac{10^n}{10^m}=10^{n-m}[/tex]

Here, n = -5 and m = -9

So on dividing we get :

[tex]\dfrac{9\times 10^{-5}}{3\times 10^{-9}}=3\times 10^{-5+9}=3\times 10^4[/tex]

Hence, on dividing n₁ by n₂ obtained number is 3 × 10⁴.

the problems that harnessing wind for energy is the expense of large tracts of land in populated areas.

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