A pipe of constant radius carried water at 3.25 m/s. Please answer in PA.

A Pipe Of Constant Radius Carried Water At 3.25 M/s. Please Answer In PA.

Answers

Answer 1

Pipe of constant radius, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at two points in a flow system.the pressure of water in the pipe is approximately 105,142 Pa.

What is a system?

System refers to a collection of related components or parts that work together to achieve a specific goal or purpose. The concept of a system can be applied to a wide range of fields and disciplines, including science, engineering, economics, and social sciences.

In science, a system is often defined as a portion of the universe that is being studied or analyzed. This can include anything from a single atom or molecule to an entire ecosystem or planet. By defining the boundaries of a system, scientists can focus their attention on understanding the interactions and relationships between the various components within that system.

In engineering, a system refers to a collection of components that are designed to work together to perform a specific function or task. This can include everything from simple mechanical systems like gears and pulleys to complex electrical or computer systems.

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Related Questions

As you sit in a fishing boat, you notice that 12 waves pass the boat every 45 s. If the distance from one crest to the next is 9.0 m what is the speed of these waves?
Express your answer to two significant figures and include the appropriate units.

Answers

The frequency of the waves can be calculated as the number of waves passing a given point per unit of time. In this case, the frequency is:

f = (number of waves) / (time)

f = 12 waves / 45 s

f = 0.267 Hz

The wavelength is the distance between two adjacent wave crests, which is given as 9.0 m in the problem.

What is the speed of these waves?

The speed of the wave can be calculated using the formula:

v = f × λ

where v is the wave speed, f is the frequency, and λ is the wavelength.

Substituting the values given, we get:

v = 0.267 Hz × 9.0 m

v = 2.40 m/s

Therefore, the speed of the waves is 2.40 m/s (to two significant figures).

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An experiment is performed to determine the specific heat of a 110.0 g metal sphere. The metal sphere is frozen in 40.0 g of ice and cooled to -10.0 °C. An insulated container is filled with 400.0 g of water at 42.0 °C. The ice containing the metal is added to the insulated container and the system comes to thermal equilibrium. At thermal equilibrium, the temperature of the water is now 30.0 °C. Determine the specific heat capacity of the metal sample.

Answers

When the temperature of the combination hits 0°C, 20g of ice remains unmelted. The quantity of ice added to the water was approximately (Specific heat of water =4.2J/gC)

Specific heat of ice =2.1J/gC,

Heat of fusion of water at 0C=334J/g.

ΔT=Tfinal−Tinitial=40.6°C−173°C=−132.4°C

What exactly is thermal equilibrium, and how does it occur?

Thermal equilibrium is reached when two bodies come into thermal contact with each other, allowing heat transfer (i.e., the transfer of energy through heat) to occur. Thermal equilibrium cannot be achieved if two systems cannot freely exchange energy.

Thermal equilibrium happens after a length of time when the engine temperature equals the air temperature.

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Calculate the density of each ball. Use the formula D = m/V

where D is the density, m is the mass, and V is the volume. Record your calculations in Table A of your Student Guide.


What is the density of the table tennis ball? Record your answer to the nearest hundredth.

___ g/cm3


What is the density of the golf ball? Record your answer to the nearest hundredth.

___g/cm3

Answers

table tennis ball: 0.07 density of the table tennis ball

golf ball: 1.37 density of the golf ball

A golf ball or a table tennis ball, which has the higher density?

Because a golf ball has more material in a comparable volume than a table tennis ball, it is denser.

The tennis ball floats because, in general, it is positively buoyant (less dense than water) and hence floats on the sea.

When the force of gravity, which pulls the ping pong ball downward, equals the force of the air stream from the hair drier, the ball "floats" in the air at a position where they are both equal. (which is pushing the ping pong ball up). Bernoulli's Principle is what is meant by this.

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Two positively charged spheres are in deep space where gravity is negligible. The spheres are held in place near each other and then released from rest. What happens to the electric potential energy of the two-sphere system, and in what direction do the spheres move, after they are released?

Answers

The electric potential energy of the two-sphere system will be converted into kinetic energy as the spheres move away from each other. The direction of the spheres' movement will be away from each other, in opposite directions.

This is because the two positively charged spheres repel each other due to their like charges. As they move away from each other, the electric potential energy of the system decreases, while the kinetic energy of the spheres increases.

The law of conservation of energy dictates that the total energy of the system remains constant, but the energy is converted from potential to kinetic energy as the spheres move away from each other.

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WILL MARK BRAIN THING HURRY PLS
Imagine that you are an extraterrestrial creature who lives in the extrasolar planetary system where Proxima-b resides. You are studying the Sun, which to you appears to be an exceptionally bright star. You do not know it, but your optical technology is almost identical to humanity’s optical technology. What evidence might indicate to you that (a) planets orbit that star (the Sun) and (b) that at least one of those planets appears to lie within the habitable zone and would thus be a potentially habitable planetary body?

Answers

a.) The evidence for planets orbiting the Sun might be :

Periodic variations in the brightness of the SunChanges in the position of the star

b.  Evidence for potentially habitable planets might come in the form of

Transit observationsSpectral observations

What is meant by planets?

A planet is described as a celestial body that is in orbit around the Sun, has sufficient mass for its self-gravity to overcome rigid body forces so that it assumes a hydrostatic equilibrium (nearly round) shape, and  has cleared the neighborhood around its orbit.

There is a slight decrease in the brightness of the star as planets pass in front of it, blocking a fraction of its light.

The extraterrestrial being might notice periodic fluctuations that are consistent with a planet's orbital period if it can track the Sun's brightness over time.

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Which is more dense, a cubic meter of water at 2 degrees Celsius or a cubic meter of water at 3 degrees Celsius?

A. 2 Degrees
B. 3 Degrees
C. The Density is the same

Answers

A cubic meter of water at 2 degrees Celsius is more dense than a cubic meter of water at 3 degrees Celsius.
celsius 3 degrees is the answer…

The element of an electric fire with an output of 1.5kw is a cylinder 0.3m long and 0.04 in radius calculate temperature if it behave as black body

Answers

The temperature of the electric fire element is 18.3 K

How do we calculate?

We use the formula at:

P = σAT^4

where P=  power radiated,

A = surface area of the black body,

σ =Stefan-Boltzmann constant (5.67 × 10^-8 W/m^2K^4),

T = temperature in Kelvin.

P = 1500 W

The surface area of a cylinder is gotten by:

A = 2πrh + 2πr^2

A = 2π(0.04 m)(0.3 m) + 2π(0.04 m)^2

A = 0.0902 m^2

Substituting the values into the Stefan-Boltzmann law, we have:

1500 W = (5.67 × 10^-8 W/m^2K^4)(0.0902 m^2)T^4

T^4 = 4196.9

T = 18.3 K

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5) A Brachiosaurus moves with a momentum of 134,052 kgm / s What is the Brachiosaurus' mass it is moving at 3.9m / s ?

Answers

The mass of Brachiosaurus moves with a momentum of 134,054 kgm/s  and the velocity is 3.9 m/s, which is 34.37 kg.

The momentum is the product of mass and velocity. The momentum is the vector quantity and the unit of momentum is Kgm/s.

Momentum = mass × velocity

 mass    = momentum/velocity

momentum =  134,052 kgm / s

velocity = 3.9 m/s

mass = 134052 / 3.9

         = 34.37 kg

Thus, the mass of Brachiosaurus is 34.37 kg.

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Question 15 of 32
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 30 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 10 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
A. 7330 N
B. 9200 N
C. 10,200 N
D. 8605 N

Answers

C. 10,200 N is how much energy was lost due to air resistance while she was bouncing

How much energy was lost

The energy lost due to air resistance while the bungee jumper was bouncing can be calculated by finding the total mechanical energy of the system at the beginning of the jump and comparing it to the total mechanical energy at the end of the jump.

At the beginning of the jump, the total mechanical energy is given by:

Ei = mgh

where m is the mass of the bungee jumper, g is the acceleration due to gravity, and h is the height of the bridge. Therefore, at the beginning of the jump:

50 x 30 x 10 - 1/2 x 30^2 x 10

= 15000 - 4500

= 10,200 N

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Can anyone solve this?

Answers

The magnitudes of u and v, in terms of n, are:

|u| = √(2² + 4² + (-1)²) = √21

|v| = √(3² + (-1)² + n²) = √(n² + 10)

How do we calculate?

The given vectors are:

u = 2î + 4j - k

v = 3î - j + nk

The vectors u and v are already given in terms of i, j, and k, which are the standard basis vectors of the three-dimensional Cartesian coordinate system.

Therefore, the magnitudes of u and v, in terms of n, are:

|u| = √(2² + 4² + (-1)²) = √21

|v| = √(3² + (-1)² + n²) = √(n² + 10)

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Water flows through a pipe of
radius 0.0250 m at 1.50 m/s.
What is the Volume Flow Rate?
(Keep 3 sig figs.)
(Unit=m^3/s)

Help please

Answers

The volume flow rate (Q) of water through a pipe can be calculated using the formula:

Q = A * v

where A is the cross-sectional area of the pipe and v is the velocity of water.

The cross-sectional area of the pipe can be calculated using the formula for the area of a circle:

A = πr^2

where r is the radius of the pipe.

Substituting the given values, we get:

r = 0.0250 m
A = π(0.0250 m)^2 = 0.0019635 m^2
v = 1.50 m/s

Now, we can calculate the volume flow rate:

Q = A * v = 0.0019635 m^2 * 1.50 m/s = 0.002944 m^3/s

Rounding off to 3 significant figures, the volume flow rate is 0.00294 m^3/s.

which statement about magnets is correct

Answers

what are the options???????????

I need help please thank you .:)

Answers

Protons, neutrons, and electrons are the three main subatomic particles that make up atoms.

What is mass number and what is the mass number, number of protons, neutrons, and electrons of the given elements?

An oxygen atom has 8 protons, 8 electrons, and its number of neutrons may vary depending on the isotope of oxygen. The more frequently encountered isotope of oxygen is oxygen-16, with 8 neutrons.

The element with 13 protons is aluminum (Al). To find the mass number, we add the number of protons and neutrons in the nucleus. Therefore, the mass number of this aluminum isotope would be 13 + 14 = 27.

If an atom has 7 electrons, it must be nitrogen (N), which has an atomic number of 7.

Number of neutrons = Mass number - Atomic number

Thus, we obtain the number of neutrons by the equation: 14 - 7 = 7

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101. A propeller is accelerated from rest to an angular velocity of 1000 rev/min over a period of 6.0 seconds by a constant torque of 2.0×103N⋅m . (a) What is the moment of inertia of the propeller? (b) What power is being provided to the propeller 3.0 s after it starts rotating?

Answers

The power being provided to the propeller 3.0 seconds after it starts rotating is approximately 21.8 MW and the moment of inertia of the propeller is approximately 0.55 kg⋅m².

What kind of forces do hydraulic systems produce?

In hydraulic systems, forces are transferred from one area to another inside an incompressible fluid, such as water or oil. Most aircraft's landing gear and braking systems are hydraulic. In order to function, pneumatic systems need a compressible fluid like air.

I = (τt²) / (2πΔθ)

Substituting the given values, we get:

I = (2.0×10³ N⋅m × (6.0 s)²) / (2π × (1000 rev/min) × (1 min/60 s) × 2π)

I ≈ 0.55 kg⋅m²

P = τω

ω = ω₀ + αt

where ω₀ is the initial angular velocity (0 in this case), α is the angular acceleration, and t is the time.

ω = 0 + (τ/I)t

ω = (2.0×10³ N⋅m) / (0.55 kg⋅m²) × (3.0 s)

ω ≈ 10,909 rad/s

P = (2.0×10³ N⋅m) × (10,909 rad/s)

P ≈ 2.18×10⁷ W

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What would be the intensity of a sound wave produced by a 150 Watt speaker from a distance of 5.8 meters? (write your answer to two digits)

Answers

The relationship between a sound wave's intensity and pressure amplitude (also known as pressure variation p) is. I is equal to (p) 2 2 v w, where is the thickness of the substance that the sound is contained in.

Describe a sound wave.

Hence, a sound wave is made up of periodically occurring compressions and compression and rarefaction, or areas of high and low pressure, that are travelling at a specific pace. In other words, it consists of a regular (i.e., oscillating or vibrating) change in pressure that takes place around the optimum pressure that is present at a specific time and location.

A sound wave is created by a speaker in what way?

A speaker creates a sound by vibrating a cone, which causes air molecules to vibrate. A speaker in Figure 17.2. 2 vibrates with a consistent frequency and amplitude, causing motions in the molecules of the surrounding air. The speaker transfers power to the air as it vibrates back and forth, primarily as thermal energy.

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A 6.5kg ball with radius 8 cm rolls without Stopping down a Lone at 5m/s. calculate its kenetic energy (I= ² / 3 MR²)​

Answers

The kinetic energy of a rolling ball can be calculated as the sum of its translational and rotational kinetic energies:

KE = 1/2 mv^2 + 1/2 Iω^2

where KE is the total kinetic energy, m is the mass of the ball, v is its velocity, I is the moment of inertia of the ball, and ω is its angular velocity.

To calculate the moment of inertia I of the ball, we can use the formula you provided:

I = (2/3)MR^2

where M is the mass of the ball and R is its radius.

Substituting the given values, we have:

M = 6.5 kg
R = 0.08 m

So, the moment of inertia of the ball is:

I = (2/3)(6.5 kg)(0.08 m)^2 ≈ 0.027 kg m^2

Now we can calculate the translational kinetic energy of the ball:

KE_trans = 1/2 mv^2 = 1/2 (6.5 kg)(5 m/s)^2 = 81.25 J

Next, we need to calculate the angular velocity ω of the ball. For a rolling ball without slipping, the tangential velocity v and the angular velocity ω are related by:

v = Rω

So, we have:

ω = v/R = 5 m/s / 0.08 m = 62.5 rad/s

Finally, we can calculate the rotational kinetic energy of the ball:

KE_rot = 1/2 Iω^2 = 1/2 (0.027 kg m^2)(62.5 rad/s)^2 ≈ 52 J

Therefore, the total kinetic energy of the rolling ball is:

KE = KE_trans + KE_rot = 81.25 J + 52 J ≈ 133.25 J

So, the kinetic energy of the rolling ball is approximately 133.25 J.

40 POINTS!!!

A wave travels along a stretched horizontal rope. The vertical distance from crest to trough for this wave is 18 cm and the horizontal distance from crest to trough is 26cm.

Part A
What is the wavelength of this wave?
Express your answer using two significant figures

Part B
What is the amplitude of this wave?
Express your answer using two significant figures.

Answers

part a.  the wavelength of this wave  is 26 cm

part b. The amplitude (A) of a wave is 9 cm

What is wavelength?

The wavelength (λ) of a wave is described as the distance between two consecutive points on the wave that are in phase.

In this scenario, the distance between two corresponding points on the wave will be equal to the horizontal distance from crest to trough, which is 26 cm.

Hence, the wavelength of the wave is: λ = 26 cm

The amplitude (A) of a wave is described as the maximum displacement of a particle from its rest position as the wave passes through it.

In this scenario, the vertical distance from crest to trough is 18 cm, which is equal to twice the amplitude.

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a wave has a frequency of 60 hertz and a wave speed of 20 m/s . what is the wavelength

Answers

Answer

the wavelength of the wave is approximately 0.333 meters.

Explanation:

In the Roman soldier model for refraction, a muddy stream crosses the road they are on walking on at 45°. Will the soldiers in the front row all hit the water at the same time?
A. Sometimes
B. Yes
C. No
D. Not enough info

Answers

In the Roman soldier model for refraction, it is assumed that the soldiers in the front row will walk at a constant speed and in a straight line. However, if the stream they are crossing is muddy, it is likely that the water will slow down some of the soldiers more than others due to differences in depth and the resistance of the mud.

Therefore, even if the soldiers in the front row are lined up perfectly and walk at the same speed, they may not all hit the water at the same time due to the uneven terrain and the resistance of the mud. Additionally, if the stream is flowing, the soldiers may be pushed in different directions by the current, further increasing the likelihood that they will not hit the water at the same time.

Therefore, the answer is C: No, the soldiers in the front row are unlikely to hit the water at the same time due to the uneven terrain and resistance of the mud.

C. No.

The Roman soldier model for refraction assumes that light travels faster in air than in water. When light passes from a medium of lower refractive index (air) to a medium of higher refractive index (water), it bends towards the normal (a line perpendicular to the surface of the water at the point of incidence).

In the case of the muddy stream crossing the road at an angle of 45 degrees, the soldiers in the front row will hit the water first, and then the soldiers behind them will hit the water progressively later. This is because the light from the front of the stream reaches the soldiers' eyes first, while the light from the back of the stream takes a longer path and reaches their eyes later.

Therefore, the soldiers in the front row will not hit the water at the same time.

The radius of the earth is 6.4 x 10^6 m . Calculate the angular and linear velocity of a participle at the earth's surface.

Answers

Answer: the angular velocity of a particle at the Earth's surface is approximately 7.27 x 10^-5 rad/s, and the linear velocity of the particle is approximately 464.1 m/s.

Explanation:

Would you expect the smallest guitar string to produce waves in the glass of water at a higher or lower frequency?

Answers

Answer:

Explanation:

The frequency of the waves produced in the glass of water will depend on the frequency of the sound wave produced by the guitar string.

The frequency of a guitar string is inversely proportional to its length, thickness, and tension. Therefore, the thinnest string on a guitar will have the highest frequency, assuming that all other variables are kept constant.

Since the frequency of the sound wave produced by the thinnest guitar string is higher, we would expect the waves produced in the glass of water to also have a higher frequency than those produced by a thicker guitar string.

103. A uniform rod of length L and mass M is held vertically with one end resting on the floor as shown below. When the rod is released, it rotates around its lower end until it hits the floor. Assuming the lower end of the rod does not slip, what is the linear velocity of the upper end when it hits the floor?

Answers

When the rod is released, it begins to rotate around its lower end, and its potential energy is gradually converted into kinetic energy. At the instant just before it hits the floor.

What is  energy ?

Energy is the ability of a system to perform work. It is a scalar physical quantity that is associated with objects and systems and can come in many different forms, such as mechanical, thermal, electrical, chemical, and nuclear energy. Energy can be transferred from one object to another, or from one form to another, but it cannot be created or destroyed according to the law of conservation of energy. The SI unit of energy is the joule (J), but other common units include the calorie, kilowatt-hour, and electronvolt.

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What inductance must be put in series with a 100-kiloohm resistor at 1.0-MHz for a total impedance
of 150 kiloohm

Answers

An inductance of 0.0191 H (19.1 mH) must be put in series with the 100-kiloohm resistor to achieve a total impedance of 150 kiloohm at 1.0 MHz.

What is Induction?

Induction refers to the production of an electric or magnetic effect through the relative motion or change in magnitude of a magnetic field or electric current. This phenomenon is based on the principles of electromagnetism and is commonly used in various electrical and electronic devices, including transformers, motors, generators, and wireless charging systems.

The total impedance can be calculated using the following formula:

Z_total = sqrt([tex]R^{2}[/tex] X_[tex]L^{2}[/tex])

where R is the resistance (100 kiloohm) and X_L is the inductive reactance. We can rearrange this formula to solve for X_L:

At 1.0 MHz, the angular frequency is:

w = 2πf = 2π × 1.0 × [tex]10^{6}[/tex] = 6.28 × [tex]10^{6}[/tex]ad/s

The inductive reactance can be calculated using the following formula:

X_L = wL

where L is the inductance in henries. We can rearrange this formula to solve for L:

L = X_L / w

Now we can substitute the given values and solve for L:

X_L = sqrt((150 ×[tex]10^{3}[/tex]) - (100 ×[tex]10^{3}[/tex])) = 120 × [tex]10^{3}[/tex] ohm

L = X_L / w = 120 × [tex]10^{3}[/tex] ohm / 6.28 × [tex]10^{6}[/tex] rad/s = 0.0191 H

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Saturday. More than On the next page, write two to three paragraphs on the unemployment rate in Detroit in 2010 and the long lasting effects. Write it as if you were explaining what you have learned about unemployment to another student who has no idea how unemployment rates are calculated or why they are significant. ● bus ● Discuss the official and alternative measures of unemployment in Detroit. Explain what the difference is and why it is important to look at both. Explain how unemployment is linked to the health of the entire economy, including businesses and government. Cite evidence from the Detroit News, and the Huffington Post (include information from the sources and be clear with the reader where you got the information). Give your opinion about how and why high unemployment might also impact crime rates and high school completion rates. ​

Answers

In my opinion, it is crucial to address high unemployment rates in order to support the overall health and well-being of the community.

What is unemployment?

LeIn 2010, the city of Detroit had one of the highest unemployment rates in the country, with an official rate of 27.8%. This means that almost one-third of the city's workforce was unemployed and actively seeking work. The unemployment rate is calculated by dividing the number of unemployed people by the total number of people in the labor force, which includes those who are employed and those who are actively seeking employment.

However, the official unemployment rate does not take into account those who have given up looking for work or those who are underemployed (working part-time or in jobs that do not match their skill level). This is where alternative measures of unemployment come into play. The Bureau of Labor Statistics (BLS) calculates different measures of unemployment, including U-4, U-5, and U-6, which take into account these additional factors. In Detroit, the U-6 rate was estimated to be around 45% in 2010, which paints a more accurate picture of the true unemployment situation in the city.

High levels of unemployment have a significant impact on the economy, both locally and nationally. When people are unemployed, they have less money to spend, which leads to reduced demand for goods and services. This can in turn lead to business closures, job losses, and a further decline in the economy. Additionally, the government must spend more on social welfare programs to support those who are unemployed, which can strain the budget.

According to the Detroit News, the high unemployment rate in Detroit was linked to a decline in population and an increase in poverty rates. The Huffington Post reported that high unemployment rates can also lead to increased crime rates and lower high school completion rates. This is because unemployed individuals may turn to crime as a means of survival, and children of unemployed parents may struggle to stay in school due to financial pressures.

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please help me in this exercise​

Answers

a. We can actually see here that the girl have kinetic energy which is respect to the escalator.

b. The kinetic energy does not depend on the chosen reference.

What is kinetic energy?

Kinetic energy is a form of energy that an object possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its current velocity. Kinetic energy is a scalar quantity, meaning it only has magnitude and no direction. The formula for calculating kinetic energy is:

KE = 1/2 × m × v²

Where KE is the kinetic energy, m is the mass of the object, and v is its velocity.

The concept of kinetic energy was first introduced by the French mathematician Gaspard-Gustave de Coriolis in 1829. It was later developed by other scientists such as James Prescott Joule and Hermann von Helmholtz.

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If the universe were to suddenly begin shrinking rather than continue expanding, how would it affect the cosmic microwave background radiation?
A. It would decrease in temperature.
B. It would blue-shift.
C. It would red-shift.
D. It would increase in temperature.

Answers

If the universe were to suddenly begin shrinking rather than continuing to expand, it would have a significant effect on the cosmic microwave background radiation (CMB).

The CMB is the afterglow of the Big Bang and is observed as a nearly uniform background radiation in all directions. It is thought to have been emitted when the universe was about 380,000 years old and had cooled enough for neutral atoms to form.

If the universe were to suddenly begin shrinking, the photons in the CMB would lose energy as they travel through the contracting space. This would cause the CMB radiation to shift to shorter wavelengths, which is known as blue-shifting.

Therefore, the correct answer is B. It would blue-shift.

Look at each written description and equation. Determine if the solution to the equation answers the question by selecting Yes or No.

A
A long-distance athlete can run 12
kilometer in 3 minutes. How many kilometers can he run in an hour?

12 km360 hr=12×603

Yes No B
A search and rescue drone can scan 0.5 hectare in 2 minutes. How many hectares per minute can the drone scan?

510 ha2 min=510×21

Yes No C
In 15 minutes a crew of highway workers paved 110
mile. If they work at the same rate, what portion of a mile will they pave in 1 hour?

14 hr110 mi=14×101

Yes No D
A soup recipe uses 112
cups of water for every 14
teaspoon of seasoning. If a large batch of soup is made using 1 teaspoon of seasoning, how many cups of water is needed?

32 c14 tsp=32×41

Yes No

Answers

yes no yes no no yess yes no because yes no

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50 POINTS!!

A wave oscillates 5.0 times a second and has a speed of 4.0 m/s
-

What is the frequency of this wave?
Express your answer to two significant figures and include the appropriate units.
-

What is the period of this wave?
Express your answer to two significant figures and include the appropriate units.
-

What is the wavelength of this wave?
Express your answer to two significant figures and include the appropriate units.

Answers

The answers are:

Frequency = 5.0 HzPeriod = 0.20 sWavelength = 0.80 m

How to solve for the frequency

The frequency (f) of a wave is the number of oscillations (or cycles) per second and is measured in Hertz (Hz). The period (T) of a wave is the time it takes for one complete oscillation and is measured in seconds (s). The wavelength (λ) of a wave is the distance between two consecutive peaks (or troughs) and is measured in meters (m).

Given:

Frequency (f) = 5.0 Hz

Speed (v) = 4.0 m/s

We can use the formula:

f = v/λ

to find the wavelength of the wave.

Solving for λ, we get:

λ = v/f = 4.0 m/s / 5.0 Hz = 0.80 m

Therefore, the wavelength of the wave is 0.80 m.

To find the period of the wave, we can use the formula:

T = 1/f

Substituting the given frequency value, we get:

T = 1/5.0 Hz = 0.20 s

Therefore, the period of the wave is 0.20 s.

So the answers are:

Frequency = 5.0 Hz

Period = 0.20 s

Wavelength = 0.80 m

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94. The cart shown below moves across the table top as the block falls. What is the acceleration of the cart? Neglect friction and assume the following data: m1=2.0kg,m2=4.0kg,I=0.4kg-m2,r=20cm

Answers

Since the rope is parallel to the table, the tension in the rope is also equal to the force acting on the cart.  The acceleration of the cart will be obtained as 1.32 m/s².

What is the acceleration of the cart?

Since the rope is parallel to the table, the forces acting on the system are the tension in the rope (T) and the weight of the hanging block (m1g). Since the rope is parallel to the table, the tension in the rope is also equal to the force acting on the cart.

The acceleration of the system can be found using Newton's second law:

ΣF = ma

where ΣF is the net force on the system, m is the total mass of the system, and a is the acceleration of the system.

The net force on the system is given by:

ΣF = T - m₁g

Substituting the given values, we get:

ΣF = T - m₁g = ma

To solve for the acceleration, we need to find the tension in the rope (T). We can do this by considering the torque on the pulley. The torque on the pulley is equal to the product of the force and the radius of the pulley (τ = Fr). The torque due to the weight of the hanging block is equal to m1g * r, and the torque due to the tension in the rope is equal to T * r. Since the pulley is not accelerating, the net torque on the pulley must be zero:

Στ = m₁g * r - T * r = I * α

where I is the moment of inertia of the pulley and α is the angular acceleration of the pulley. Since the pulley is not slipping, the linear acceleration of the cart is equal to the angular acceleration of the pulley divided by the radius of the pulley (a = α * r).

Substituting for α and a, we get:

m₁g * r - T * r = I * a / r

Solving for T, we get:

T = (m₁g + I * a / r)

Substituting this expression for T into the equation ΣF = T - m₁g, we get:

ma = (m₁g + I * a / r) - m₁g

Simplifying, we get:

a = g * m₁ / (m₂ + I / r²)

Substituting the given values, we get:

a = (9.81 m/s²) * 2.0 kg / (4.0 kg + 0.4 kg-m² / (0.2 m)²) = 1.32 m/s²

Therefore, the acceleration of the cart is 1.32 m/s².

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Why are there spikes in fragmentation debris between the years of 2006 and 2010? Why can this be considered a problem?

Answers

Answer: This is a problem because it can kill.

Explanation: There is no answer to this.

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