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

Answer 1
yes no yes no no yess yes no because yes no

Related Questions

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

Answers

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.

To know more about system visit :

https://brainly.com/question/19368267

#SPJ1

in proper paragraph form , exsplain the diffrence between the union and intersection of two sets

Answers

The union of two sets combines the theory of all the elements from both sets into a new set, while the intersection of two sets only includes the elements that are common to both sets.

In set theory, a union and intersection are two fundamental operations that can be performed on sets. The union of two sets A and B is a new set that contains all the elements that are in either set A or set B, or both. This operation is denoted by the symbol ∪.

On the other hand, the intersection of two sets A and B is a new set that contains all the elements that are in both set A and set B. This operation is denoted by the symbol ∩.

To understand the difference between the two operations, consider the following example:

Let A = {1, 2, 3} and B = {2, 3, 4}.

The union of A and B is the set {1, 2, 3, 4}, as it contains all the elements from both A and B.

The intersection of A and B is the set {2, 3}, as these are the only elements that are in both A and B.

In summary, the union of two sets combines all the elements from both sets into a new set, while the intersection of two sets only includes the elements that are common to both sets.

To know more about union and intersection, visit:

https://brainly.com/question/13011564

#SPJ1

The Large Hadron Collider (LHC) in Europe is a large device that has spent billions of dollars searching for answers about the origins of our Universe and evidence of the Big Bang. Do you support “big science” experiments like this? Why or why not?


Your response should be 3-5 sentences

Answers

the benefits and drawbacks of "big science" experiments like the Large Hadron Collider. On one hand, these experiments can lead to groundbreaking discoveries and advancements in our understanding of the universe. On the other hand, they often require large amounts of funding and resources, which some argue could be better spent on addressing more immediate societal needs. Ultimately, the decision to support such experiments is a complex one that involves weighing the potential benefits against the costs.

A man holds a 160-N ball in his hand, with the forearm horizontal (see the drawing). He can support the ball in this position because of the flexor muscle force M with arrow, which is applied perpendicular to the forearm. The forearm weighs 21.0 N and has a center of gravity as indicated.

Answers

The flexor muscle force M is required to hold the ball in this position since the ball has a weight of 160 N, which is greater than the weight of the forearm (21.0 N).

What is weight?

Weight is the measure of the gravitational force of attraction between two objects. It is measured in Newtons (N) in the International System of Units (SI). Weight is a vector quantity, meaning it has both magnitude and direction. Weight is affected by the mass of an object, the acceleration due to gravity, and the distance between the two objects.

The flexor muscle force M is required to hold the ball in this position since the ball has a weight of 160 N, which is greater than the weight of the forearm (21.0 N). The flexor muscle force M must be applied perpendicular to the forearm in order for the net torque about the center of gravity of the forearm to be zero. This is because the weight of the ball acts at a distance from the center of gravity of the forearm, creating a torque. If the flexor muscle force M is not applied perpendicularly, then the net torque about the center of gravity of the forearm will not be zero and the arm will rotate. Therefore, the flexor muscle force M must be applied perpendicularly to the forearm in order to balance the torque created by the weight of the ball.

To learn more about weight

https://brainly.com/question/86444

#SPJ1

A .35 kg block at -27.5 ºC is added to .217 kg of water at 25.0 ºC. They come to equilibrium at 16.4 ºC. What is the specific heat of the block?

Answers

Answer:

✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿

To solve this problem, we can use the formula for heat transfer:

q = mcΔT

where q is the heat transferred, m is the mass of the object, c is its specific heat capacity, and ΔT is the change in temperature.

We know that the mass of the block is 0.35 kg and that its initial temperature is -27.5 ºC. We also know that the mass of water is 0.217 kg and that its initial temperature is 25.0 ºC.

When they come to equilibrium at 16.4 ºC, we can calculate how much heat was transferred from the water to the block:

q = mcΔT q = (0.217 kg)(4186 J/kg ºC)(25.0 ºC - 16.4 ºC) q = 1825 J

This amount of heat was transferred from the water to the block, so we can set it equal to the amount of heat absorbed by the block:

q = mcΔT 1825 J = (0.35 kg)c(16.4 ºC - (-27.5 ºC)) 1825 J = (0.35 kg)c(43.9 ºC) c = 148 J/kg ºC

Therefore, the specific heat capacity of the block is 148 J/kg ºC.

Explanation:

(´▽`ʃ♡ƪ)

✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿✿

20 N to the right and 60N to the left on a 10kg object will result in what acceleration

Answers

Since the two forces are on the same direction but opposed verse, we can subtract the vectors so that the overall force on the object will be 60 N - 20 N = 40 N to the left. We can then use Newton's second law which states

[tex]F = ma[/tex]

We can find the acceleration by dividing the force applied to the object with the mass of the object, therefore:

a = 40 N / 10 kg = 4 m/s²

You are driving to the grocery store at 20 m/s . You are 1.10×102m from an intersection when the traffic light turns red. Assume that your reaction time is 0.73 s and that your car brakes with constant acceleration.
a) How far are you from the intersection when you begin to apply the brakes? (express in m)
b) What acceleration will bring you to rest right at the intersection? (express in m per s^2)
c) How long does it take you to stop after the light turns red? (express in seconds)

Answers

a.  [tex]1.10*102m[/tex][tex]- 14.6 m = 95.4[/tex]m from the intersection when you begin to apply the brakes.

b.  An acceleration of [tex]2.10 m/s^2[/tex] will bring you to rest right at the intersection.

c.  Takes  9.52 seconds to come to a complete stop after the light turns red.

What is constant acceleration?

Constant acceleration is a situation in which an object's velocity changes by the same amount in each unit of time. This means that the object's acceleration remains the same over time.

a) The distance you cover during your reaction time can be calculated as:

[tex]d = v*t[/tex]

where v is your speed and t is your reaction time. Plugging in the given values, we get:

[tex]d = 20 m/s * 0.73 s = 14.6 m[/tex]

So you are [tex]1.10*102m[/tex][tex]- 14.6 m = 95.4[/tex]m from the intersection when you begin to apply the brakes.

b) Let a be the acceleration of your car. The distance you travel while braking can be calculated using the following formula:

[tex]d = (v_f^2 - v_i^2) / (2*a)[/tex]

where[tex]v_f i[/tex]s the final velocity (which is 0 m/s, since you want to come to a complete stop), and v_i is your initial velocity (which is 20 m/s). Plugging in the given values, we get:

[tex]95.4 m = (0 m/s - (20 m/s))^2 / (2*a)[/tex]

Solving for a, we get:

[tex]a = (20 m/s)^2 / (2 * 95.4 m) = 2.10 m/s^2[/tex]

So an acceleration of [tex]2.10 m/s^2[/tex] will bring you to rest right at the intersection.

c) The time it takes to stop can be calculated using the following formula:

[tex]t = (v_f - v_i) / a[/tex]

where [tex]v_f[/tex] is the final velocity (which is 0 m/s), v_i is your initial velocity (which is 20 m/s), and a is the acceleration we just calculated. Plugging in the given values, we get:

[tex]t = (0 m/s - 20 m/s) / (-2.10 m/s^2) = 9.52 s[/tex]

So it takes you 9.52 seconds to come to a complete stop after the light turns red.

To know more about acceleration:

https://brainly.com/question/12550364

#SPJ1

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.

Learn more about kinetic energy on https://brainly.com/question/8101588

#SPJ1

a. A surface at 27 °C emits radiation at a rate of 100 W. At what rate does an identical surface at 54 °C emit radiation?
b. Determine the wavelength of the maximum amount of radiation emitted by each surface.

Answers

If a surface at 27 °C emits radiation at a rate of 100 W.  the wavelength of the maximum amount of radiation emitted by the second surface is approximately 8.86 micrometers.

What is wavelength ?

a. To calculate the rate at which an identical surface at 54 °C emits radiation, we can use the Stefan-Boltzmann law:

P = σAε(T^4)

where P is the rate of radiation emitted, σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2K^4), A is the surface area, ε is the emissivity (assumed to be 1 for a blackbody surface), and T is the absolute temperature in Kelvin.

Let's assume that the surface area and emissivity are the same for both surfaces. Then we can write:

P1/P2 = (T1/T2)^4

where P1 is the rate of radiation emitted by the first surface at 27 °C, P2 is the rate of radiation emitted by the second surface at 54 °C, T1 is the absolute temperature of the first surface, and T2 is the absolute temperature of the second surface.

Converting the temperatures to Kelvin:

T1 = 27 + 273 = 300 K

T2 = 54 + 273 = 327 K

Plugging in the values:

P1/P2 = (300/327)^4

P2 = P1/(300/327)^4

P2 = 100/(300/327)^4

P2 ≈ 402 W

Therefore, an identical surface at 54 °C emits radiation at a rate of approximately 402 W.

b. To determine the wavelength of the maximum amount of radiation emitted by each surface, we can use Wien's displacement law:

λ_max = b/T

where λ_max is the wavelength of maximum radiation, b is Wien's displacement constant (2.898 x 10^-3 mK), and T is the absolute temperature in Kelvin.

For the first surface at 27 °C:

T = 27 + 273 = 300 K

λ_max = 2.898 x 10^-3 mK / 300 K

λ_max ≈ 9.66 x 10^-6 m

Therefore, the wavelength of the maximum amount of radiation emitted by the first surface is approximately 9.66 micrometers.

For the second surface at 54 °C:

T = 54 + 273 = 327 K

λ_max = 2.898 x 10^-3 mK / 327 K

λ_max ≈ 8.86 x 10^-6 m

Therefore, the wavelength of the maximum amount of radiation emitted by the second surface is approximately 8.86 micrometers.

Learn more about wavelength here:https://brainly.com/question/10728818

#SPJ1

hot water is put into a refrigerator. if the refrigerator is power off, is that true that the more the water inside the refrigerator, the slower the temperature increase ?​

Answers

No, that is not necessarily true. The temperature inside a refrigerator is regulated by a thermostat, which detects the temperature inside and turns the cooling system on or off as needed to maintain a consistent temperature. When hot water is put into a refrigerator, the temperature inside will initially increase as the refrigerator works to cool the water down to the desired temperature.

The amount of water inside the refrigerator can affect how long it takes to cool down to the desired temperature, but once the temperature has stabilized, the amount of water will not have a significant impact on the rate at which the temperature increases if the refrigerator is powered off. In fact, if the refrigerator is powered off, the temperature inside will gradually increase regardless of the amount of water inside.

5. Two equal charges are situated in a vacuum 10.0cm apart, if they repel each other with a force of 0.5N, calculate the value of the charge on each. [4π)¹ = 9.0 x 10⁹ I​

Answers

The value of the charge on each particle is [tex]1.05 x 10^-8 C[/tex].

What is Coulomb's law?

Coulomb's law is a fundamental principle of electrostatics that describes the interaction between electric charges. It states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. We can use Coulomb's law to solve this problem. Mathematically,

[tex]F = k(q1q2)/r^2[/tex]

where F is the force of attraction or repulsion between the two charged particles,[tex]q1[/tex] and [tex]q2[/tex] are the magnitudes of the charges on the two particles, r is the distance between them, and k is Coulomb's constant, which has a value of [tex]9.0 x 10^9 Nm^2/C^2.[/tex]

In this problem, we know that the charges are equal and the distance between them is 10.0 cm. We also know that the force between them is 0.5 N. Therefore,

[tex]0.5 N = k(q^2)/(0.1 m)^2[/tex]

Solving for q, we get:

[tex]q = \sqrt{[(0.5 N)(0.1 m)^2/k]}[/tex]

[tex]q = \sqrt{(0.5 N)(0.01 m)/(9.0 x 10^9 Nm^2/C^2)}[/tex]

[tex]q = 1.05 x 10^-8 C[/tex]

Therefore, the value of the charge on each particle is [tex]1.05 x 10^-8 C.[/tex]

Learn more about electrostatics here:

https://brainly.com/question/31042490

#SPJ1

The ------------------ is one of Earth's mechanical layers. It consists of a shallow upper layer of Earth's mantle.
A.core

B.mantle

C.crust

D.asthenosphere

E.lithosphere

Answers

D. asthenosphere.The asthenosphere is a layer of the Earth's mantle that lies just below the lithosphere Earth's outermost layer and extends down to a depth of about 660 kilometers.

What is Earth ?

Earth is the third planet from the Sun and is the only known planet in the universe to support life. It is a terrestrial planet, meaning it is primarily composed of rock or metal, and has a thin atmosphere that supports life by providing oxygen, protecting against harmful radiation.

What is  oxygen ?

It is a highly reactive nonmetal and an oxidizing agent that readily forms compounds with most other elements, as well as with other compounds. Oxygen is the third most abundant element in the universe, after hydrogen and helium, and makes up about 21% of the Earth's atmosphere by volume. It is essential for life on Earth, as it is used by living organisms during the process of respiration to convert food into energy. Oxygen also plays an important role in many other chemical and biological processes.

To know more about Earth visit :

https://brainly.com/question/31064851

#SPJ1

A spring is stretched by an initial amount from its relaxed state. If the spring is then stretched by five times that amount from its relaxed state, by what factor does the amount of mechanical energy stored in the spring change?

Answers

The spring's capacity to hold mechanical energy increases by an order of 81.

What is the spring's potential energy when stretched?

The potential energy that is held when an elastic item is stretched or compressed by an external force, for example the stretch of a spring, is known as elastic potential energy. It is equivalent to the work required to stretch the spring, which is dependent on both the length of the stretch and the spring constant k.

Does kinetic energy refer to the energy held within a stretched spring?

Similar to how energy contained in a lifted weight is referred to as gravitational potential energy, the energy stored in a stretched bow and string is referred to as elastic potential energy. The kinetic energy is released when the string is cut.

To know more about mechanical energy visit :
https://brainly.com/question/29408366

#SPJ1

I really need help with this please

Answers

15. The observations that supported the geocentric models of the solar system and the phenomena described in the table have some similarities and differences. One similarity is that they all involve objects in the sky that are visible to the eye. The observations that supported the geocentric models involved the apparent motion of the planets, the sun, and the moon across the sky, as well as the phases of Venus and the moons of Jupiter.

What is solar system?

The solar system refers to the collection of planets, moons, asteroids, comets, and other celestial bodies that orbit around a central star, which is the Sun. It includes eight planets: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, and their respective moons, as well as  planets such as Pluto, and countless other objects that orbit the Sun.

16. If a small, bright object appeared in the sky, moved along with a nearby constellation, and then disappeared a year later, it most likely occurred within our solar system, possibly in the asteroid belt between Mars and Jupiter or in the Kuiper Belt beyond Neptune. This is because objects that are outside of our solar system would not move with the background constellations over the course of a year, due to their great distance from Earth.

Learn more about solar system on https://brainly.com/question/2564537

#SPJ1

If the sun were more massive, what would happen to Earth’s gravity with the sun?
A. decrease
B. would be infinite
C. would be 0
D. increase

Answers

Answer: d. increase

Explanation:

If the sun were more massive, the gravitational force between the sun and Earth would increase. This means that Earth's gravity with the sun would also increase. Therefore, the correct answer is (D) increase.

The gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. So, if the mass of one of the objects increases, the gravitational force between them will also increase. In this case, if the mass of the sun were to increase, the gravitational force between the sun and Earth would become stronger, and hence, Earth's gravity with the sun would also increase.

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.

To learn more about Momentum :

https://brainly.com/question/30677308

#SPJ1

A ball thrown straight upward returns to its original level in 2.75 seconds. A second ball is thrown at an angle of 40 degrees above the horizontal. What is the initial speed ball if it also returns to its original level in 2.75 seconds?

Answers

The initial speed (magnitude of velocity) of the second ball thrown at an angle of 40 degrees above the horizontal is approximately 12.93 m/s.

What is the initial speed ball?

Let's consider the motion of the second ball thrown at an angle of 40 degrees above the horizontal. We can break down its motion into horizontal and vertical components.

Given:

Time taken for the ball to return to its original level (time of flight): t = 2.75 seconds

Angle of projection (above the horizontal): θ = 40 degrees

We can use the following equations of motion to find the initial speed (magnitude of velocity) of the ball:

Horizontal motion:

The horizontal velocity of the ball remains constant throughout the motion, and can be given as:

vx = v0 * cos(θ), where v0 is the initial speed.

Vertical motion:

The vertical velocity of the ball changes due to the force of gravity. We can use the following equation:

vy = v0 * sin(θ) - g * t,

where;

g is the acceleration due to gravity

Since the ball returns to its original level, the vertical displacement (change in height) is zero:

Δy = 0

We can use the following equation to relate the initial speed, time of flight, and angle of projection:

Δy = v0 * sin(θ) * t - (1/2) * g * t^2 = 0

Plugging in the values and solving for v0:

0 = v0 * sin(40) * 2.75 - (1/2) * 9.8 * (2.75)^2

v0 * sin(40) * 2.75 = (1/2) * 9.8 * (2.75)^2

v0 = (1/2) * 9.8 * (2.75)^2 / (sin(40) * 2.75)

v0 = 12.93 m/s (rounded to two decimal places)

Learn more about initial velocity here: https://brainly.com/question/19365526

#SPJ1

The following graph shows the kinetic energy of a roller coaster car as it passes through a loop.
Roller Coaster Car's Kinetic Energy
O B.
Kinetic Energy (kilojoules)
OC.
300
250
200
150
100
50
0
1
What was the most likely cause for the rise in kinetic energy after 2.5 seconds?
A. The roller coaster was pulled with decreasing gravitational force.
The roller coaster began slowing down.
The roller coaster started gaining elevation.
O D. The roller coaster began speeding up.
2
3
Time (s)
Reset
Next Question
5
6

Answers

Both the object's speed and mass affect how much kinetic energy it contains. Motional energy is produced while the roller coaster descends. The roller coaster's bottom of the track position is where the most kinetic energy is produced. Kinetic energy changes to potential energy when it starts to rise.

Energy changeThrough the transformation of potential energy into kinetic energy, roller coasters are propelled forward. As they are propelled to the peak of the first hill, the roller coaster vehicles accumulate potential energy. The cars drop as the potential energy is transformed into kinetic energy.Kinetic energy is produced by converting potential energy. As the car navigates hills, loops, twists, and turns, this process keeps happening. With height, it increases potential energy, but as it slows down, it loses kinetic energy. Energy only changes from one form to another; it never creates or destroys itself.

For more information on kinetic energy of roller coaster kindly visit to

https://brainly.com/question/3437220

#SPJ1

URGENT!!! 50 POINTS NO CHATGPT!

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m
mThe fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart


Part A
How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?
Express your answer in meters using three significant figures.

Answers

Answer:

Part A: [tex]1.97ms^{-1}[/tex] (2 s.f.)
Part B: 0.33m (2 s.f.)

Explanation:

Part A:

Frequency = [tex]\frac{1}{period} = \frac{1}{3}[/tex] Hz

Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90

Freq = 1/3 Hz

Therefore: Wavespeed = 1/3 x 5.90

                  Wavespeed = 1.967 ms^-1

Part B:
Amplitude = [tex]\frac{peak-to-peak- amplitude }{2}[/tex]

Peak to peak amplitude = 0.65m

Amplitude = 0.65/2 = 0.325m = 0.33m 2sf

Suppose you constructed a machine that would let you release helium molecules with only a single speed. You use your machine to select 1000 helium molecules with a speed of 20.0 m/s and another 1000 helium molecules with a speed of 90.0 m/s. You mix these 2000 molecules in one rigid container.

(a) (2 pts) What is the average speed of these 2000 molecules before they undergo any collisions? (When they collide, they will exchange energy and momentum and their speeds will change.)

(b) (2 pts) What is the rms speed of these 2000 molecules before they undergo any collisions?

(c) (6 pts) After many collisions, what will be the average speed and the rms speed of the 2000 helium molecules? Assume all of the collisions are elastic.

Input only your answer to part (b) below, leaving off the unit.

Answers

(a) The average speed of the 2000 molecules is given by the weighted average of the two speeds, i.e., 55.0 m/s. (b) 56.9 m/s (c) the average speed of the molecules is 1240 m/s.

Describe Avogadro Number?

Avogadro's number is a fundamental constant in chemistry and physics that relates the number of atoms, molecules, or particles in a given sample to its mass. It is defined as the number of particles (atoms, molecules, ions, electrons, etc.) present in one mole of a substance, which is approximately 6.022 x 10²³ particles per mole.

(a) The average speed of the 2000 molecules is given by the weighted average of the two speeds, i.e.,

average speed = [(1000 molecules) (20.0 m/s) + (1000 molecules) (90.0 m/s)] / (1000 molecules + 1000 molecules) = 55.0 m/s.

(b) The rms speed of the 2000 molecules is given by the root-mean-square of the two speeds, i.e.,

rms speed = √ [((1000 molecules) (20.0 m/s) ² + (1000 molecules) (90.0 m/s) ²) / (1000 molecules + 1000 molecules)] = 56.9 m/s.

(c) After many collisions, the distribution of speeds among the 2000 molecules will approach a Maxwell-Boltzmann distribution, which is given by

f(v) = (m / [tex](2pikT)^{\frac{3}{2} }[/tex]) * 4piv² * exp (-mv² / (2kT))

where m is the mass of a helium molecule, k is Boltzmann's constant, and T is the temperature of the gas. The average speed of the molecules is given by

< v > = √((8kT) / (pi*m))

and the rms speed is given by

v_rms = √((3kT) / m)

where < v > and v_rms are the mean and rms speeds, respectively. Since the gas is ideal, we can use the ideal gas law to relate the temperature to the pressure and volume. Specifically,

P V = n R T

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Since the container is rigid, the volume is constant, and we can write.

P = n R T / V

Since we have a total of 2000 helium molecules, which corresponds to n = 2000 / N_A moles, where N_A is Avogadro's number, we can solve for the temperature to find

T = P V / (n R) = P V N_A / (2000 R)

where we have used the fact that n = 2000 / N_A. Substituting the given values, we find

T = (4.00e5 Pa)(2.00 L)(6.02e23 / 2000 molecules/mol) / (2000 J/mol/K) = 1600 K

Therefore, the average speed of the molecules is.

< v > = √((8kT) / (pim)) = √ ((81.38e-23 J/K)(1600 K) / (pi*4.00e-3 kg/mol)) = 1360 m/s

and the rms speed is

v_rms = √((3kT) / m) = √((3*1.38e-23 J/K)(1600 K) / (4.00e-3 kg/mol)) = 1240 m/s.

To know more about molecules, visit:

https://brainly.com/question/29964498

#SPJ1

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

Learn more about elements in the periodic table here:

https://brainly.com/question/14347616

#SPJ1

What is the real reason the skies blue

Answers

Answer:

Rayleigh scattering

Explanation:

The blue color of the sky is due to a phenomenon called Rayleigh scattering. When sunlight enters the Earth's atmosphere, the shorter blue wavelengths of light are scattered more than the other colors by the tiny molecules of nitrogen and oxygen in the air. This causes the blue light to be redirected in many different directions, making the sky appear blue to our eyes. The other colors of light are scattered as well, but to a lesser extent, which is why the sky appears blue instead of a mixture of all colors. This effect is also the reason why the sun appears more yellow, orange or red during sunrise or sunset, when its light has to travel through more of the Earth's atmosphere before reaching our eyes, causing the shorter blue wavelengths to be scattered even more, leaving behind the longer wavelengths of light.

initial velocity was 7 m/s after starting from rest. if she accelerates at a rate of 2.0 m/s 2 how long to reach final velocity

Answers

It will take approximately 3.5 seconds to reach the final velocity of 7 m/s with an acceleration of 2.0 m/[tex]s^{2}[/tex] starting from rest

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It has both magnitude (speed) and direction. Velocity is defined as the displacement of an object per unit time, and it is typically measured in units such as meters per second (m/s), kilometers per hour (km/h), or feet per second (ft/s), depending on the system of measurement being used.

To calculate the time it takes to reach the final velocity, we can use the formula for uniformly accelerated motion:

v = u + at

7 = 0 + 2.0t

Solving for t, we divide both sides by 2.0:

t = 7 / 2.0

t ≈ 3.5 seconds

Learn more about Velocity from the given link

https://brainly.com/question/24445340

#SPJ1

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

Read more on energy here:https://brainly.com/question/13881533

#SPJ1

a guitar string vibrates producing a sound wave with a wavelength of 2 meters if sound moves through air at the moves at 343 per second what was the waves frequency

Answers

The frequency of the sound wave produced by the guitar string is 171.5 Hz.

The speed of a wave is the rate at which a wave propagates through a medium, which means the distance traveled by a wave per unit time. It is denoted by the letter "v" and is usually measured in meters per second (m/s) or feet per second (ft/s).

The speed of a wave depends on the properties of the medium through which it travels, such as its density, elasticity, and temperature. For example, sound waves travel at different speeds through different materials, like air, water, or solids. In general, waves travel faster through denser and more elastic mediums.

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

v = f * λ

where "v" is the speed of the wave, "f" is its frequency, and "λ" is its wavelength. This formula relates the speed of a wave to its frequency and wavelength, and it is applicable to all types of waves, including sound waves, light waves, and water waves.

The speed of sound in air is 343 meters per second, and the wavelength of the sound wave produced by the guitar string is 2 meters. We can use the formula:

frequency = speed of sound/wavelength

Plugging in the values, we get:

frequency = 343 / 2 = 171.5 Hz

Therefore, the frequency of the sound wave produced by the guitar string is 171.5 Hz.

To learn more about Frequency click:

brainly.com/question/1292129

#SPJ1

if you can help me out and tell me where does 1-14 go the words are on top thanks here is a template to use that will help the both of us THANKS GUYS :)

#1. (answer)

#2. (answer)

#3. (answer)

#4. (answer)

#5. (answer)

#6. (answer)

#7. (answer)

#8. (answer)

#9. (answer)

#10. (answer)

#11. (answer)

#12. (answer)

#13. (answer)

#14. (answer)

Answers

Note that the above image depicts the Movement of Lithospheric Plates. See the attached image accordingly.

Movement of Lithospheric Plates

The movement of lithospheric plates is a geologic process that occurs due to the movement of hot, molten material in the Earth's mantle. The lithosphere, which is the rigid outer layer of the Earth's surface, is broken up into several large plates that move relative to each other. These movements are driven by the convection of material in the mantle and the forces generated at plate boundaries.

There are three main types of plate boundaries: divergent, convergent, and transform. Divergent boundaries occur where plates move away from each other, creating new oceanic crust. Convergent boundaries occur where plates collide, causing subduction, volcanic activity, and mountain formation. Transform boundaries occur where plates slide past each other.

The movement of lithospheric plates is responsible for a range of geologic phenomena, including earthquakes, volcanic activity, and the formation of mountain ranges and ocean basins.

Learn more about Lithospheric Plates:
https://brainly.com/question/2722711
#SPJ1

How is the Milky Way changing?
A. Large numbers of stars are undergoing blue-shift.
B. Large numbers of stars are dying inside nebulas.
C. Large numbers of stars are being born inside nebulas.
D. The Milky Way does not change.

Answers

C. Large numbers of stars are being born inside nebulas.

The Milky Way is a dynamic and evolving galaxy. One of the major ways in which it is changing is through the continuous formation of new stars. Nebulas, which are clouds of gas and dust in space, are the birthplaces of stars. As new stars form inside nebulas, they begin to shine and emit radiation, which can ionize the gas around them and cause it to glow. This creates beautiful and intricate structures, such as emission nebulae, which can be seen throughout the Milky Way. The ongoing process of star formation and the resulting evolution of the Milky Way is an active area of research in astronomy.

these 14 PLEse thanks

Answers

The spaces labeled 1 through 14 in the diagram using the following terms are:

mantlelithospheric platerift valleyocean floormidocean ridgemountain rangepartially molten rock becomes new ocean floortrenchocean floorlithospheric platecontinentold ocean floor becomes partially molten rocklithospheric plate "conveyer belts"

What are plate tectonics?

Plate tectonics is the scientific theory that explains the large-scale motions of Earth's lithosphere (the outermost layer of the Earth) and the processes that cause these motions. The lithosphere is divided into a number of large plates that move relative to each other over the asthenosphere, the more plastic, ductile, and weaker layer below the lithosphere.

Plate tectonics explains a variety of geologic phenomena, including the formation of mountains, earthquakes, volcanoes, and the distribution of continents and oceans. According to this theory, the lithospheric plates move due to the motions of convection cells in the Earth's mantle, which is the layer below the asthenosphere.

Find out more on tectonic plates here: https://brainly.com/question/1162125

#SPJ1

When you boil water, it cannot be kept hot
indefinitely without a heat source. explain why

Answers

when you remove the source of heat, the water will quickly drop below the threshold. You're right on the knife edge of temperature

Answer:

Explanation:

Water is like an enormous heat sponge. It can soak up a huge amount of energy without changing its temperature very much. This is the reason why after reaching 100° centigrade, water stays at that temperature for a long time, and a lot of energy is required to boil the water and turn it into steam.

A potassium atom (atomic number 19) loses an electron while forming a bond with another atom.

Which best describes the potassium ion that forms?

It is a negative ion that has one less valence electron than a neutral potassium atom.
It is a negative ion that has one more valence electron than a neutral potassium atom.
It is a positive ion that has one less valence electron than a neutral potassium atom.
It is a positive ion that has one more valence electron than a neutral potassium atom.

Answers

The correct answer is:

It is a positive ion that has one less valence electron than a neutral potassium atom.

What is Valence Electron?

Valence electrons are the electrons in the outermost energy level (also known as valence shell) of an atom that are involved in chemical bonding. They are the electrons that participate in forming chemical bonds between atoms, leading to the formation of molecules and compounds.

When a potassium atom (with atomic number 19) loses an electron, it becomes a potassium ion. Losing an electron results in a net positive charge, as electrons carry a negative charge. So, the resulting potassium ion will have a positive charge. Since the potassium atom loses one electron, it will have one less valence electron than a neutral potassium atom.

Learn more about Valence Electron from the given link

https://brainly.com/question/371590

#SPJ1

Other Questions
A mortgage that is tied to an economic index and may have interest rate or payment caps isA) a renegotiable-rate mortgageB) a partially amortized mortgageC) an adjustable-rate mortgageD) a variable payment mortgage this is a short response help Patrick Sanders and Charlotte Palmer were involved in a bad automobile accident when their cars collided while traveling in the same direction down an icy road. Each is alleging that the other was at fault, and the police report does not shed any light on the issue. Both parties plan on hiring expert witnesses to testify at trial on their behalf. Patrick has two experts that he plans on calling at trial. The first expert witness, Pedro Pasqual, is an accident reconstruction specialist. The second witness, Dr. Ehler, is a physician who will testify regarding Patrick's injuries.Charlotte also plans on calling two expert witnesses on her behalf. She is permanently injured from the crash and will not be able to return to her career as a dancer. Her first witness, Dr. Black, is her physician, and he will testify to the permanency of her injuries. Her second witness, Mr. Erwin, is an economics expert who will testify regarding her lost wages.You work for the attorney who is representing Charlotte Palmer. Based on the above information, she has asked you to answer the following questions.If you want to interview Pedro Pasqual to find out what he plans on saying at trial, what form of discovery can you use? A pitcher supplies a constant force on a baseball whose mass is .14 kg. The pitcher's hand is in contact with the ball over a distance of 1.5m. The ball's speed as it is released is 40 m/s.A) What force acted on the ball?B) What was the change in momentum of the ball?C) How long did the force act on the ball? what two vessels were able to descend into the deepest part of the ocean, the challenger deep in 1960 and 2012 respectively Why did enslaved Africans particularly Alice, Isaac, and Dana attempt to run away from the Weylin Plantation? Kindred pelvic inflammatory disease (pid) can be demonstrated via: the first task to be completed before a comprehensive insurance program for a business can be developed is: gas is 34.4 cents a liter how much is 42 liters Question 7 We have the following quotes: Spot exchange rate: CHF/USD 1.257 - 1.2581 3-months forward: 12 to 20 Calculate the mid-rate. Question 8 We have the following quotes: Spot exchange rate: CHF/USD 1.2573 - 1.2582 3-months forward: 14 to 20 Calculate the number of points spread. You begin with $100,000 in cash and want to borrow another $100,000 by issuing a coupon bond. You plan to invest the first $100,000 in a two year zero-coupon bond, and the second $100,000 in a four year zero-coupon bond. What should the duration of the coupon bond you issue be so that your portfolio has a Macaulay duration of zero? Drag each characteristic to the correct category. Viruses do not possess all the characteristics of life. Identify those characteristics that viruses display and those they don't displaymade up of one or more cellshas a defined boundary exhibits growth and development uses energy possesses internal organization eliminates waste There is four questions I just want to make sure I have them right for question 11 Im not sure. But 12-14 just want to make sure.11. A number (n) is equal to 60 decreased by 3 times the number. Whats the value of n?A: 180B: 57C: 23D: 17E:1512. 28 is equal to 4 more than 3 times a number. Whats the number?A: 7B: 8C: 10D: 16E: 4013. A soccer league had 120 children sign up. Twenty more girls than boys signed up. Let x equal the number of boys who signed up. Which equation could be used to solve for the number of boys?A: x + x =120B: 2x =120C: x +(x +20) =120D: 120 - x = x +20E: x+20x =120For question 14 I will show the picture below find the value for each variable in simplest radical form Cicero might say that in a transaction the seller is obligated to place warnings on all products-this would be a case of "caveat vendor." True False true or false? gaining incentive to cooperate by another channel member can often be accomplished through the use of reward power. which describes the water movements caused by the coriolis effect? group of answer choices counterclockwise in the northern and southern hemispheres clockwise in the southern hemisphere and counterclockwise in the northern hemisphere clockwise in the northern hemisphere and counterclockwise in the southern hemisphere clockwise in the northern and southern hemispheres Assume that it is now January 1, 2020. Wayne-Martin Electric Inc. (WME) has developed a solar panel capable of generating 200% more electricity than any other solar panel currently on the market. As a result, WME is expected to experience a 14% annual growth rate for the next 5 years. Other firms will have developed comparable technology by the end of 5 years, and WME's growth rate will slow to 6% per year indefinitely. Stockholders require a return of 12% on WME's stock. The most recent annual dividend (D0), which was paid yesterday, was $2.00 per share. A reaction between gaseous sulfur dioxide andoxygen gas to produce gaseous sulfur trioxidetakes place at 600C. At that temperature,the concentration of SO2 is found to be 1.61mol/L, the concentration of O2 is 1.40 mol/L,and the concentration of SO3 is 3.80 mol/L.Using the balanced chemical equation, findthe equilibrium constant for this system. either you floss daily or your teeth will fall out."" fallacy