setting a world record in a 100-m race, maggie and judy cross the finish line in a dead heat, both taking 10.2 s. accelerating uniformly, maggie took 2.00 s and judy took 3.00 s to attain maximum speed, which they maintained for the rest of the race. (a) what was the acceleration of each sprinter? (b) what were their respective maximum speeds? (c) which sprinter was ahead at the 6.00-s mark, and by how much?

Answer: 12.5 m/s.

v = d/t

(60 s/1 min)*(4 min) = 240 s

v = 3000 m/240 s  

v = 12.5 m/s  

The closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.

The wavelength of sound emitted by speakers

= velocity / frequency

= 344 / 172

= 2 m

For destructive interference , path difference is equal to odd multiple of  half the wavelength .

path difference = 2 / 2 = 1 m

d₂ - d₁ = 1 m

d₂ = d₁ + 1 m

d₂ = .008 m + 1

 d₂ = 1.008 m

So, the closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.

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The complete question is:

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172 HzHz. You are 8.00 mm from speaker A. Take the speed of sound in air to be 344 m/sm/s. What is the closest you can be to speaker B and be at a point of perfectly destructive interference?

(a)The maximum uncertainty in the horizontal position is 1.75 m / 2 = 0.875 m.(b)The minimum uncertainty in the horizontal velocity of the marble is approximately 2.38 x 10^-33 m/s.(c)it does not provide information about the actual velocity of the marble. (d)the longest time the marble could remain on the table is 7.35 x 10^32 seconds.

The Heisenberg uncertainty principle states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle, such as position and momentum, can be known simultaneously. Let's address the questions based on this principle:

(a) To determine the maximum uncertainty in the horizontal position of the marble, we need to consider the width of the tabletop. The maximum uncertainty in position can be estimated as half the width of the tabletop, since the marble can be anywhere within that range. Therefore, the maximum uncertainty in the horizontal position is 1.75 m / 2 = 0.875 m.

(b) According to the Heisenberg uncertainty principle, the product of the uncertainties in position and momentum is greater than or equal to a certain minimum value. Mathematically, it is expressed as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is the reduced Planck's constant (approximately 6.626 x 10^-34 J·s). In this case, we're interested in the uncertainty in the horizontal velocity, which is related to momentum.

The mass of the marble is given as 10.0 g, which is equivalent to 0.01 kg. Since the marble is gently placed on the tabletop, we can assume a negligible initial momentum. Therefore, we can estimate the minimum uncertainty in horizontal velocity (Δv) as follows:

Δx * Δp ≥ h/4π

Δx * m * Δv ≥ h/4π

Δv ≥ h/4π(m * Δx)

Substituting the values, Δx = 0.875 m and m = 0.01 kg, we can calculate the minimum uncertainty in horizontal velocity:

Δv ≥ (6.626 x 10^-34 J.s) / (4π * (0.01 kg) * (0.875 m))

Δv ≥ 2.38 x 10^-33 m/s

Therefore, the minimum uncertainty in the horizontal velocity of the marble is approximately 2.38 x 10^-33 m/s.

(c) The uncertainty principle tells us that the product of the uncertainties in position and momentum (or velocity) has a lower limit. Since the minimum uncertainty in the horizontal velocity is non-zero, it implies that the marble cannot have an exactly zero horizontal velocity. However, it does not provide information about the actual velocity of the marble.

(d)To estimate the longest time the marble could remain on the table, we can calculate the time it would take for the marble to traverse the entire width of the tabletop with its minimum uncertainty velocity. Assuming a constant velocity, we can use the equation:

Time = Distance / Velocity

Time = 1.75 m / (2.38 x 10^-33 m/s)

Time ≈ 7.35 x 10^32 seconds

Comparing this time to the age of the universe (approximately 14 billion years), we find that the time it would take for the marble to traverse the tabletop is incredibly long. In fact, it is many orders of magnitude larger than the age of the universe, indicating that the marble could essentially remain on the table indefinitely from a practical perspective.

However, it's important to note that this analysis is based on the fundamental principles of quantum mechanics and the uncertainty principle. In classical physics, the marble would come to rest due to friction and other factors. The uncertainty principle is primarily applicable to microscopic particles and not macroscopic objects like marbles in everyday scenarios.

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Answer: Integrate a=vdv/ds [ from v to u and distance from 0 to s]

Explanation:

As we know a=vdv/ds

a.ds = v.dv

now integrate left side from u to v and at right  side from 0 to S

it will result (v^2-u^2)/2 = as

(v^2-u^2)=2as

v^2= u^2+2as
Hence proved

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Answer:

Below

Explanation:

F = m a

F/a = m

350 N / 9.81 m/s^2 = 35.7 kg

if An object has a weight of 350N on Earth Then the mass of the object is approximately 35.67 kg.

The weight of an object is the force exerted on it due to gravity. The weight is given by the formula:

Weight = mass × acceleration due to gravity

On Earth, the acceleration due to gravity is approximately 9.81 m/s^2. Therefore, we can calculate the mass of the object by rearranging the formula:

mass = weight/acceleration due to gravity

Substituting the given weight of 350N, we get:

mass = 350 N / 9.81 m/s²

mass ≈ 35.67 kg

Therefore, the mass of the object is  35.67 kg.

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The term that describes waves bending around obstacles and openings is diffraction. Diffraction is defined as the bending of waves around obstacles or through openings.

When waves encounter an obstacle or opening, they tend to bend around it and produce a characteristic pattern of wave interference. The amount of bending depends on the size of the obstacle or opening relative to the wavelength of the wave. If the size of the obstacle or opening is smaller than the wavelength of the wave, the bending effect will be more pronounced.

If the size of the obstacle or opening is larger than the wavelength of the wave, the bending effect will be less noticeable. Diffraction is a fundamental principle that explains how waves behave when they encounter obstacles or openings. It is important in many areas of physics, including optics, acoustics, and radio transmission.

Understanding diffraction allows scientists and engineers to design devices that use wave interference to their advantage. For example, diffraction gratings are used in spectrometers to split light into its component wavelengths, and radio antennas use diffraction to focus radio waves in a particular direction.

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calcium (ca) is most likely to be shiny

Among all the options, the element which is most likely to be shiny is calcium. Hence, option C is correct.

A pure material made entirely of one species of atoms, or a chemical element, has a specific number of protons in its nucleus. Chemical elements, in contrast to compounds, can indeed be subdivided into less complex molecules through any chemical process.

The distinguishing characteristic of an element is the number of protons in the nucleus, which is known as its atomic number; all atoms with the same atomic number are the same element's atoms.

The majority of the universe's baryons mass is made up of chemical components (among rare exceptions are neutron stars). Atoms are reorganized into new compounds, bound together through chemical bonds during chemical reactions between various elements.

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Answer:

The angle will be 0 . The angle between the incident ray and the mirror is called angle of incidence while the angle between reflected ray and the normal is called angle of reflection. Here, the a ray of light is incident normally on a plane mirror.

Explanation:

saitama is the strongest

Answer:

A

A fox and hawk can be both a predator and prey

In workplaces with continuous noise, such as mines, the use of protective gear like ear muffs is encouraged to reduce the amount of noise entering workers' ears. This not only protects their hearing but also helps decrease compensation costs associated with hearing-related injuries.

However, it is important to recognize that these protective gears have limitations. Over time and with extensive use, they can become damaged and less effective at reducing noise exposure. Despite the importance of wearing protective gear, some workers may choose to remove their ear muffs due to discomfort or the desire to hear their colleagues more clearly. This poses a challenge as it increases their risk of being exposed to excessive noise levels, which can lead to hearing damage or loss.

To address this issue, employers should focus on providing comfortable and properly fitting protective gear that minimizes discomfort. Additionally, regular training and awareness programs can emphasize the importance of consistent use of protective gear and educate workers about the potential long-term consequences of noise exposure. Encouraging an open dialogue between workers and management can also help address any concerns or misconceptions related to the use of protective gear.

Ultimately, striking a balance between comfort and safety is crucial. Employers should strive to provide effective and comfortable protective gear, while workers need to understand the importance of consistent usage to safeguard their hearing health in noisy work environments.

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Pieces of burning vegetation that are spread by air currents and spread downwind are known as "brands."

When a wildfire occurs, burning vegetation can release embers or pieces of burning material into the air. These embers, often called "brands," can be carried by air currents and spread downwind, potentially igniting new fires and causing the fire to spread rapidly.

Brands are a significant concern during wildfires as they can travel long distances and start spot fires ahead of the main fire front. Factors such as wind speed, direction, and the flammability of surrounding vegetation determine how far brands can travel and how quickly they can ignite new fires.

Firefighters and fire management personnel closely monitor and address brands during firefighting operations to prevent the further spread of the fire. Controlling and extinguishing spot fires caused by brands is crucial in minimizing the overall impact and size of a wildfire.

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Although though a person may not immediately notice it, when a candle is lit, the air in the room will start to feel a little warmer. This is so that the air around the candle can become warmer while it burns, which releases energy in the form of heat.

Some of the wax (paraffin) disintegrates into minute carbon particles known as soot when exposed to heat. The high temperature causes these particles to heat up and shine brightly yellow. As a result, candlelight is yellow.

If you had only one match stick , and entered a dark room containing an oil lamp , some newspaper, and some kindling wood, which one would you light first? Laylow Zimbeva and 53 others like this. The classic answer to this riddle is the match.

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Encontramos que la distancia recorrida en los primeros 9 segundos es 288 metros.

Los datos dados son:

El cuerpo tiene una rapidez inicial de 5 m/s

El cuerpo tiene una aceleración de 6 m/s^2

Queremos calcular la distancia recorrida durante los primeros 9 segundos de movimiento.

Lamentablemente no contamos con los gráficos ni las tablas, así que se procede a obtener las ecuaciones de movimiento.

La aceleración será:

a(t) =  6m/s^2

Para la ecuación de la velocidad tenemos que integrar la ecuación de arriba, obteniendo:

v(t) = (6m/s^2)*t  + v0

Donde v0 es la rapidez inicial, que conocemos es igual a 5 m/s, así tenemos:

v(t) = (6m/s^2)*t  + 5m/s

Para la ecuación de la posición debemos integrar nuevamente, así obtendremos:

p(t) = (1/2)*(6m/s^2)*t^2  + (5m/s)*t + p0

Donde la p0 es la posición inicial, la cual podemos definir como p0 = 0m

p(t) = (3m/s^2)*t^2  + (5m/s)*t

Para encontrar la distancia recorrida en los primeros 9 segundos, simplemente debemos remplazar t por 9s en la ecuación de posición:

p(9s) =  (3m/s^2)*(9s)^2  + (5m/s)*9s = 288 m

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We automatically process space time frequency by how events occur and how they interact with each other.

Space refers to the amount of physical space between objects or events. Time is the measurement of the duration of events or processes. Frequency is a measure of how often a particular event or process occurs. By understanding these three components, we can accurately process the space, time, and frequency of events.

We automatically process space, time, and frequency through our brain's ability to quickly analyze and interpret sensory information. Our perception of space, or the distance between objects, is determined by our brain's ability to analyze visual cues such as size, depth, and perspective.

Our perception of time, or the duration of events, is determined by our brain's ability to track the passage of time through internal and external cues. Our perception of frequency, or the rate at which events occur, is determined by our brain's ability to analyze the number of occurrences of an event within a given period of time. All of these processes occur automatically and unconsciously, allowing us to quickly and accurately perceive our environment.

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Answer:

Explanation:

Answer:

c. hope this helped

Explanation:

The amount of heat needed to raise the temperature of 1 gram of water by 1 degree Celsius is known as the specific heat capacity of water, which is approximately 4.184 joules per gram per degree Celsius. This means that it takes 4.184 joules of energy to raise the temperature of 1 gram of water by 1 degree Celsius.

The specific heat capacity of water is relatively high compared to other substances, which is why water is often used as a standard for measuring heat energy. It is also why water is able to absorb and retain large amounts of heat without experiencing significant changes in temperature. This property of water is important for many natural processes, such as the regulation of temperature in living organisms, the formation of clouds and precipitation, and the distribution of heat in the oceans.

Understanding the specific heat capacity of water is important for a variety of scientific and technological applications, such as in the design of heating and cooling systems, the calculation of energy requirements for chemical reactions, and the study of climate change and its impact on the Earth's water cycle.

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Answer:

a.one atom of fluorine and two atoms of oxygen

Explanation:

hope it help

The Force acts on the big piston is 1350000 N

"The force exerted on each piston of a hydraulic press is proportional to the surface area of the piston. If the area ratio of the two pistons is 1:300, this means that the larger piston has an area 300 times greater than the smaller piston.

Let A1 be the area of the smaller piston and A2 be the area of the larger piston. Then, we have:

A2 = 300 * A1

According to Pascal's law, the pressure in a closed system is transmitted equally throughout the system. Therefore, the pressure on both pistons is the same. Let P be the pressure on each piston.

The force on each piston can be calculated using the formula:

force = pressure * area

For the smaller piston, we have:

force1 = P * A1

For the larger piston, we have:

force2 = P * A2

Substituting A2 = 300 * A1, we get:

force2 = P * 300 * A1

We know that a force of 15 N acts on the smaller piston (force1 = 15 N). We can now set up an equation to solve for the force on the larger piston (force2):

force1 = force2

P * A1 = P * 300 * A1

Simplifying the equation, we get:

P = P * 300

Dividing both sides by P, we get:

300 = A1 / A2

Substituting A2 = 300 * A1, we get:

300 = A1 / (300 * A1)

Multiplying both sides by 300 * A1, we get:

90000 * A1 = A1

Dividing both sides by A1, we get:

A2 = 90000

Therefore, the area of the larger piston is 90000 times greater than the area of the smaller piston. Now we can use the formula for force:

force2 = P * A2

We know that the force on the smaller piston is 15 N, and the area ratio is 1:300. Therefore, the force on the larger piston can be calculated as follows:

force2 = P * A2

force2 = P * 90000 * A1

force2 = 15 N * 90000

force2 = 1,350,000N

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Answer:

No,ice will not float

Explanation:

A substance sinks in another if it has a greater density than the other substance. The density of ice is clearly greater here and so ice will sink

Answer: 50.2 m/s towars northeast, also travels at 5.71 degrees.

Explanation:

(50.0 m/s)^2 +(5.0 m/s)^2 =c^2

c= \(\sqrt[n]{2500 m^2/s^2 +25.0 m^2/s^2}\)

Metal elements are most likely found on the left side of the periodic table. Details about periodic table can be found below.

Periodic table is a tabular chart of the chemical elements according to their atomic numbers so that elements with similar properties are in the same group or column.

Metallic elements are one of the group of elements found on the periodic table and they include the following:

Metallic elements are located on the left hand side of the periodic table.

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Answer: (A) Along the stairstep line

Explanation:

Answer:

Ummmm Human's I don't understand your answer

Explanation:

Have a Nice Day

Answer:

Suppose the micrometeoroid weighed 1 g = .001 kg

Suppose also the spacecraft were moving at 18,000 mph (1.5 hrs per rev)

Usually, the smaller particle would be moving but for simplicity suppose that it were stationary wrt the ground

v = 18000 miles / hr * 1500 m/mile / 3600 sec/hr = 7500 m/s

KE = 1/2 * .001 kg * (7500 m)^2 = 28,125 Joules

One can see that 28000 Joules could be damaging amount of energy

Answer:

F = Q V X B

V = south

B = down

V X B = east

Answer:

A. 45 degrees

Explanation:

Answer:

A. 45 degrees

Explanation:

A projectile travels the farthest when it is launched at an angle of 45 degrees.

The maximum range is 45 degrees, ignoring air resistance.

sin(2θ) = 1

∴ 2θ = π/2.

(2θ)/2 = (π/2)/2

θ = π/4

π/4 or 45°