Using the Maxwell-Boltzmann speed distribution function, verify Equations 21.25 and 21.26 for(a) the rms speed.

The work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

We are given a spring which is stretched beyond its natural length by 2 inches, by applying a force of 10 pounds.

We have to calculate the work done in stretching it further to 7 inches beyond its natural length, in ft-lb.

In order to calculate the work done, we need to know the spring constant (k) of the spring and then use the formula for work done by a spring, which is given by

W = (1/2)k(x2² - x1²)

Where, W is the work done, k is the spring constant, x1 is the initial position of the spring, and x2 is the final position of the spring.So, we need to find the spring constant k of the spring, in order to calculate the work done.Let the spring constant be k lb/inch.

We know that F = kx

where, F is the force applied, x is the displacement, and k is the spring constant.

Substituting the values, we get10 = k(2)k = 5 lb/inch.

Now, we can use the formula for work done, which is W = (1/2)k(x2² - x1²)

Substituting the values, we get W = (1/2)(5)(7² - 2²)W = (1/2)(5)(45)W = 112.5 ft-lb.

Therefore, the work done in stretching the spring from its natural length to 7 inches beyond its natural length is 112.5 ft-lb.

For more such questions on work done, click on:

https://brainly.com/question/8119756

#SPJ8

Answer: The greater an object's mass, the more gravitational force it exerts.

Explanation: So, to begin answering your question, Earth has a greater gravitational pull than the moon simply because the Earth is more massive. Sorry if I get this wrong. I am in 5th grade! ♥

The gravitational attraction between the Sun and Earth is stronger than the attraction between the Sun and the Moon, principally because of the Sun's greater mass and greater distance from Earth.

An object's mass affects how much gravitational pull it exerts. Both the Earth and the Moon are much less massive than the Sun. Approximately  330,000 times more massive than the Earth, and roughly 27 million times more massive than the Moon, is the Sun. Because of the Sun's greater mass, its gravitational pull is thus much stronger.

The strength of the gravitational force between two objects is greatly influenced by their distance from one another. The Sun and Earth are separated from one another by a far smaller distance than the Sun and Moon. The Sun is located roughly 150 million kilometers from Earth, while the Moon is located roughly 384,400 kilometers from the Sun on average. The inverse square law asserts that the gravitational force decreases with increasing distance, and that it is only one-fourth as strong when two objects are twice as far apart.

Hence, the gravitational force between the sun and earth is larger than the sun and the moon due the mass of the sun and earth is greater than the moon and sun. The distance between the sun and the earth is comparatively smaller than the distance between the sun and the moon.

To learn more about Gravitational Force, here:

brainly.com/question/29190673

#SPJ4

Answer:

"For towing, a tow chain should be of a length that keeps both vehicles within the maximum 4.5 meter distance, also  tow chains an be any length 20 foot chains are often chosen"  

Explanation:

-  https://letstowthat.com

Also Quick note the feet of tow rope or chain varies on the situation but most longest or 20 feet.  

Answer:

We can easily find out the beginning point of the line by using dot representation. When it comes to position vector, it expresses the exact position of certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end which is fixed to its body

Answer:

Displacement is defined as the distance, in any direction, of an object relative to the position of another object. Physicists use the concept of a position vector as a graphical tool to visualize displacements. A position vector expresses the position of an object from the origin of a coordinate system

Explanation:

The levels of Carbon-14 can be measured in tree rings, ice cores, and soil samples, making option 4 "All of the above" the correct answer.

Tree rings, ice cores, and soil samples provide valuable data for studying the presence and concentration of Carbon-14 in different contexts.

Tree rings represent the annual growth of trees and can be analyzed to determine the amount of Carbon-14 present during each growth period. Ice cores contain layers of ice that capture atmospheric gases, including Carbon-14, providing a record of past atmospheric conditions.

Soil samples can contain organic matter that incorporates Carbon-14, allowing scientists to study its abundance in the environment.

By measuring Carbon-14 levels in these various sources, researchers gain insights into carbon dating, climate change, and other scientific inquiries.

The diverse sources provide complementary data and contribute to a more comprehensive understanding of Carbon-14 levels throughout history.

All of the above is the correct answer.

Learn more about Carbon-14  from the given link:

https://brainly.com/question/30233846

#SPJ11

Answer:

Work is said to be done when a force applied to an object moves that object. We can calculate work by multiplying the force by the movement of the object.

Answer:

Work is done by a force on an object if (i) a force acts on the object and (ii) the object is displaced from its original position

Answer:

F = 20 N

Explanation:

Given that,

Mass of the football, m = 2 kg

Initial speed, u = 0

Final speed,v = 5 m/s

The time of contact, t = 0.5 s

We need to found the average force applied by the footballer  on the football. We can find it using the formula.

\(F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{2\times (5-0)}{0.5}\\\\F=20\ N\)

So, the required force is 20 N.

Answer:

F=20

Explanation:

f=20

Explanation:The fundamental answer is that without regular supervision of, and definitions of, weights and measures, commerce and exchange would be impossible, and there would be no market whatsoever for anything.

Explanation:

#Shadow

From the given list, let's determine the given qualitative information.

Qualitative data can be said to be data that are represented without determining a value.

This type of data are uncountable.

It is data that can be observable in nature and they cannot be measured.

From the given list, the qualitative data is blue sky.

Other information given are that of quantitative data because they are measured values.

Therefore, the qualitative information is blue sky.

ANSWER:

D. Blue sky

Answer:

12000N

Explanation:

gravity on earth is six times one on the moon

Answer:

The wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.

Given data in the question;

Speed of wave;

Frequency of wave;

wavelength;

To determine the wavelength of the radio wave, we use the expression for the relations between wavelength, frequency and speed.

Where  is wavelength, f is frequency and c is the speed.

We substitute our given values into the equation

Therefore, the wavelength of WFNX’s radio waves with the given speed and frequency is 2.95m.

Explanation:

Answer:

The penny would take 10 seconds to fall.

Explanation:

Hope this helps!!

If a penny is dropped from a building that is 95 m tall then it would 3.111 seconds take the penny to hit the ground below

There are three equations of motion given by  Newton

The first equation is given as follows

v = u + at

the second equation is given as follows

S = ut + 1/2×a×t²

the third equation is given as follows

v² - u² = 2×a×s

Keep in mind that these calculations only apply to uniform acceleration.

As given in the problem, A penny is dropped from a building that is 95 m tall,the initial velocity of the penny is zero, the acceleration acting is due to the acceleration due to gravity

height of the building (S) = 95 meters

initial velocity(u) = 0 m/s

acceleration(a) = 9.81 m/s²

By using the second equation of motion given by newton

S = ut + 1/2at²

S = 95 m ,u= 0 m/s , a= 9.81 m/s² and t =? seconds

95 = 0 + 9.81t²

t² = 95/9.81

t = 3.111 seconds

Thus, if a penny is dropped from a building that is 95 m tall then it would   take 3.111 seconds for the penny to hit the ground below

Learn more about equations of motion from here

brainly.com/question/5955789

#SPJ5

To find the values of the  distance if the image is from the mirror,

Height of object, h = 3 cm

Distance of object from mirror, u = -18 cm (negative sign indicates that the object is placed on the left side of the mirror)

Focal length of mirror, f = -12 cm (negative sign indicates that the mirror is concave)

We can use the mirror formula to find the distance of the image from the mirror:

1/f = 1/u + 1/v

where v is the distance of the image from the mirror.

Substituting the values of u and f, we get:

1/-12 = 1/-18 + 1/v

Simplifying the equation, we get:

v = -36 cm (negative sign indicates that the image is formed on the left side of the mirror)

Therefore, the distance of the image from the mirror is 36 cm.

To find the height of the image, we can use the magnification formula:

m = -v/u

where m is the magnification of the image.

Substituting the values of v and u, we get:

m = -(-36)/(-18) = 2

Since the magnification is positive, the image is upright and enlarged.

The height of the image can be found using the formula:

h' = m * h

where h' is the height of the image and h is the height of the object.

Substituting the values of m and h, we get:

h' = 2 * 3 = 6 cm

Therefore, the height of the image is 6 cm.

Learn more about concave mirror from https://brainly.com/question/29665857

#SPJ1

To prove that the set z u s (union of the set of integers and a finite set of real numbers) is countably infinite, we have to show that there is a bijection between this set and the set of natural numbers.

First, let's consider the set of integers, which is countably infinite. We can use the bijection f(n) = n/2 if n is even and f(n) = -(n+1)/2 if n is odd to map the set of integers onto the set of non-negative integers.

Now, let's consider the finite set of real numbers s. Since s is finite, we can list its elements in some order, say s1, s2, ..., sn. We can then define a new bijection g from the set of natural numbers to the set z u s as follows:

g(1) = 0
g(2) = s1
g(3) = -s1
g(4) = s2
g(5) = -s2
...
g(2n) = sn
g(2n+1) = -sn

In other words, we alternate between adding an element of s and its negative to the set z, starting with 0. This ensures that every element of z u s is included in the range of g, and that no two natural numbers map to the same element.

Therefore, we have shown that there exists a bijection between the set z u s and the set of natural numbers, and so z u s is countably infinite.

To learn more about a set, visit: https://brainly.com/question/3928632

#SPJ11

The magnetic force on a charged particle in a magnetic field is zero. Here are the conditions that apply:

1. The particle is stationary: If the charged particle is not moving, there will be no magnetic force acting on it. This is because the magnetic force is given by the equation F = q(v x B), where F is the magnetic force, q is the charge, v is the velocity, and B is the magnetic field. If the velocity (v) is zero, the force will also be zero.

2. The particle moves parallel or antiparallel to the magnetic field: If the charged particle moves in the same direction or opposite to the magnetic field, the magnetic force will be zero. This is because the force equation includes the cross product (v x B), and the cross product of two parallel or antiparallel vectors is zero.

3. The particle has no charge: If the particle is neutral, meaning its charge (q) is zero, there will be no magnetic force acting on it, regardless of its motion or the magnetic field's direction. This is because the force equation has q as a factor, and any value multiplied by zero equals zero.

In summary, the magnetic force on a charged particle in a magnetic field is zero if the particle is stationary, moves parallel or antiparallel to the magnetic field, or has no charge.

To know more about velocity visit -

brainly.com/question/14387759

#SPJ11

A) 4π radians did the carousel rotate through.

B) v=rω, v =2*20 = 40 m/s is the tangential velocity of the carousel at a point 2 m from the center of the carousel.

C) α =ω²r = 20²× 5 = 2000 rad/s² is the angular acceleration of the carousel during this time.

D)  the tangential acceleration of the carousel at a point on the outside of the platform is zero cause a(t) = r dω/dt change in angular velocity is zero after it reaches 20 rad/s.

A carousel, also known as a merry-go-round (international), roundabout (British English), or hurdy-gurdy (an archaic phrase in Australian English), is a type of amusement attraction that consists of a spinning circular platform with seats for passengers. Traditional "seats" are rows of wooden horses or other animals set on poles, many of which are moved up and down by gears to mimic galloping to the tune of looping circus music. carousel rotates with a particular velocity.

To know more about carousel :

https://brainly.com/question/27088541

#SPJ1.

Answer:

D. Violence

Explanation:

Violence is the threat of or actual use of physical force against oneself or another person. Violence often results in injury or death.

Answer:

D.Violence

Explanation:

You're welcome!

Answer:

Protista

Explanation:

Taxonomy can be defined as the process of naming, classification and description of living organisms such as plants and animals. Thus, the biological classification of living organisms based on similarities or characteristics such as eyes, number of legs, etc., is generally referred to as taxonomy.

Basically, taxonomy helps scientist to have a good understanding and knowledge when studying various organisms.

Furthermore, the eight (8) biological classification (taxonomy) used for grouping and organizing organisms are; kingdom, domain, phylum, family, order, class, species and genus.

An organism that has only one cell, big and has a nucleus is most likely a member of Protista. Thus, a Protista such as euglena, paramecium, amoeba, etc., have a nucleus and are unicellular.

A unicellular organism refers to a living organism that possess a single-cell while a multicellular organism has many (multiple) cells.

Answer:

The reaction force is the water pushing the swimmer in the rightward direction.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

When thermal energy is added to a substance, its temperature increases, which can change its state from solid to liquid (melting), liquid to gas (vaporization), or solid to gas (sublimation). ... When the pressure exerted on a substance increases, it can cause the substance to condense.

Explanation:

Hope it will help use

The incentives to use international strategy are many, including new market expansion, extended product life cycle, access to materials and resources, integration of operations on a global scale, better use of rapidly developing technologies, and potential new opportunities in international markets.

An international strategy is a business plan that involves expansion into foreign markets. Companies may choose to use international strategy for a variety of reasons, including the benefits mentioned above. New market expansion allows companies to access a larger customer base, while extended product life cycle means that products can remain relevant in the market for longer periods of time. Access to materials and resources is important for companies that rely on imports or exports, and integration of operations on a global scale can lead to increased efficiency and cost savings. Rapidly developing technologies can be used more effectively in an international context, and international markets can yield potential new opportunities for growth and expansion.

In summary, the incentives to use international strategy are numerous and can provide significant benefits for companies looking to expand their operations beyond domestic markets. By accessing new markets, extending product life cycles, gaining access to materials and resources, integrating operations on a global scale, using rapidly developing technologies, and exploring potential new opportunities in international markets, companies can increase their competitiveness and profitability in the global economy.

Learn more about incentives

https://brainly.com/question/964887

#SPJ11

The potential energy of the car at the top of the hill is 1.75 x 10^6 J. If we neglect friction, the car will have a speed of 74.7 m/s as it rolls down the hill.

a. To find the potential energy of the car at the top of the hill, we need to use the formula:

potential energy = mass x gravity x height

where mass is given as 2.0 x 103 kg, gravity is approximately 9.8 m/s^2, and height is the vertical distance the car is lifted up the hill. We can find this distance by using the angle of 15 and the horizontal distance of 345 m. The vertical distance is given by:

height = 345 m x sin(15) = 90.3 m

Plugging in these values, we get:

potential energy = (2.0 x 103 kg) x (9.8 m/s^2) x (90.3 m) = 1.75 x 10^6 J

So the potential energy of the car at the top of the hill is 1.75 x 10^6 J.

b. To find the speed of the car as it rolls down the hill, we can use the conservation of energy principle:

potential energy at top = kinetic energy at bottom

At the top of the hill, the car has only potential energy, which we found to be 1.75 x 10^6 J. At the bottom of the hill, the car has only kinetic energy, which we can find using the formula:

kinetic energy = 0.5 x mass x velocity^2

where mass is still 2.0 x 103 kg, and velocity is what we are trying to find. Setting the potential energy at the top equal to the kinetic energy at the bottom, we get:

1.75 x 10^6 J = 0.5 x (2.0 x 103 kg) x velocity^2

Solving for velocity, we get:

velocity = sqrt( (2 x 1.75 x 10^6 J) / (2.0 x 103 kg) ) = 74.7 m/s

So if we neglect friction, the car will have a speed of 74.7 m/s as it rolls down the hill.

Learn more about potential energy here:-

https://brainly.com/question/24284560

#SPJ11

Answer:

Resultant vector is a single vector that produces the same effect as is produced by a number of vectors collectively. 

Answer: Exothermic

Explanation:

An exothermic reaction causes an increase in temperature. This is because the energy released when the bonds are broken among the reactants is greater than than the energy absorbed when new bonds are formed among the products. This leftover energy gets passed along to the surroundings, where it produces a measurable increase in heat.

Answer:

- Decreasing the resistance

- Using a shorter length

- Using a smaller area wire

Explanation:

Formula for conductance in wires is;

G = 1/R

Where;

G is conductance

R is resistance

This means that increasing the resistance leads to a larger denominator and thus a smaller conductance but to decrease the denominator means larger conductance.

Thus, to increase the conductance, we have to decrease the resistance.

Resistance here has a formula of;

R = ρL/A

Where;

ρ is resistivity

L is length of wire

A is area

Thus, to decrease the resistance, we will have to use a shorter length and smaller area of wire.

Answer: B is the correct answer because if you look, it takes P a longer time to get somewhere while it takes R a shorter time to get somewhere.

A total of 70 joules of work is done when a 35-newton force lifts a crate to a loading dock 2 meters high.

The amount of work done can be calculated using the formula:

work = force x distance x cos(theta)

where force is the applied force, distance is the distance moved in the direction of the force, and theta is the angle between the force vector and the displacement vector.

In this scenario, the force is 35 newtons, the distance is 2 meters (the height the crate is lifted), and the angle between the force vector and the displacement vector is 0 degrees (because  the force is directly upwards and the displacement is also upwards).

Therefore, cos(Ф) = 1.

Substituting  in these values, we get:

work = 35 newtons x 2 meters x 1

work = 70 joules

Learn more about work done at:

https://brainly.com/question/8119756

#SPJ1