a rubber boot is at rest on an inclined plane. when the angle of inclination of the plane is increased to 35.8°, the boot begins to slide down the incline. then, when the angle is decreased to 30.2°, the speed of the boot is constant. what are the coefficients of static and kinetic friction between the boot and the incline? static kinetic

Answers

Answer 1

The boot and incline have 0.859 as their static and kinetic friction coefficients.

How to simplify the equations of kinetic and mechanical energy?

We start for the first angle where the given angle is 36.5 ° and the acceleration is zero.

The force equations would be given by:

F = m g sin θ

N = m g cos θ

Fr = μs N

Where μ is coefficient of friction (static)

If we make a sum of forces in the direction in which the block moves we will have the sin θ Component and that of the friction force, so

∑ F = 0

F - Fr = 0

F = Fr

mg sin θ = μ N

m g sin θ = μ m g cos θ

solving for the coefficient, then

μ = sin θ / cos θ = tan θ

substitute the value in the above equation, we get

μ = tan (36.5)

μ = 0.740

We apply the same consideration for the angle of 30.5°, then we know that

μk = tan θ

substitute the value of θ, in the above equation, we get

μk = tan (30.5)

μk = 0.859

Therefore, the value coefficients of static and kinetic friction between the boot and the incline is 0.859.

To learn more about angle of inclination refer to:

https://brainly.com/question/2763627

#SPJ9

Answer 2

a rubber boot is at rest on an inclined plane. when the angle of inclination of the plane is increased to 35.8°, the boot begins to slide.

How do you calculate force on an incline?

Inclined plane formulas for a cubic block

      Gravitational force: F g = m × g F_g = m \times g Fg=m×g, where m is the mass of object and g is the gravitational constant

When the force of incline  is longer  the mechanical advantage for an inclined plane is greater than 1, as less force is required to move an object up the slope than if it were lifted straight up. The mechanical advantage increases as the slope of the inclined plane becomes more gradual, requiring less input force.

to learn more about force of incline reffer to:

https://brainly.com/question/6667591

#SPJ9


Related Questions

The resultant force acting on the van is 1500 N.
Calculate the magnitude of force X.
[assume X is the only horizontal force opposing the motion of the van]

Answers

If the resultant force acting on the van is 1500 Newtons, then the magnitude of Force X would be 1500 Newtons as X is the only horizontal force opposing the motion of the van.

What is Newton's second law?

Newton's Second Law states that the resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem statement If the resultant force acting on the van is 1500 Newtons, then we have to find the magnitude of Force X,

The magnitude of the Force X = 1500 Newtons

Thus, the magnitude of the force X would be 1500 as it is the only force acting on the van.

Learn more about Newton's second law here;

brainly.com/question/13447525

#SPJ1

(01. 05 MC)

Lessons Assessments Gradebook Email 36 Tools ▾

A witness states that a suspect contacted them on a specific phone app. Unfortunately, the app is no longer showing on the suspect's phone. How

would a forensic expert confirm the witness's testimony?

OUse Disk Drill to recover files

O Examine deleted browser history

The testimony cannot be confirmed

My Courses

OUse Cellebrite to pull deleted applications

Answers

Answer:

use disk drill to recover files

Explanation:

A weightlifter lifts a 200 Kg barbell 4m using 800W of power. How long did this take?

Answers

Answer:

9.8 seconds

Explanation:

Power = work / time

work = F * d     =   200kg ( 9.81 m/s^2 ) * 4 m = 7818 J

800 W = 7818 J / t       t = ~ 9.8 seconds

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

What should be corrected in the model of nitrogen (N) shown below?

Answers

Nitrogen should have 7 protons instead of 6

help me on ixl describe ecosystem

Answers

Answer:

it is defined as the study of living things and their environment

How many ohms is the resistance of the electric heater connected to 220 V voltage

Answers

Answer:

44 ohms.

Explanation:

R for V (according to Ohm's law). This second formula is more frequently used in practice to calculate resistive heating, whereas the first formula has other, more general applications. As we might infer from the equation, the units of watts also correspond to amperes2 x ohms (A2 x Ω).

Brooke kicks a soccer ball with an initial horizontal velocity of 15 m/s off a 40-meter-high cliff and the soccer ball lands 60 meters away from the edge cliff. determine the final vertical velocity of the soccer ball.

Answers

The final vertical velocity of the soccer ball is 20 m/s.

We need to know about the projectile motion to solve this problem. The projectile motion is known as parabolic motion and the velocity is divided by 2 axes.

vox = vo cosA

voy = vo sinA

where vox is initial velocity of x axis, voy is initial vertical velocity, vo is initial velocity and A is the angle.

From the question above, the given parameters are

vox = 15 m/s

h = 40 m

x = 60 m.

The time taken of horizontal motion will be

x = vox . t

60 = 15 . t

t = 4 s

By using the uniform motion, where vty = 0 m/s and time taken to reach the peak is half of total time. Hence

vty = voy - gt

0 = voy - 10.(1/2 . 4)

voy = 20 m/s

Find more on vertical velocity at: https://brainly.com/question/3329648

#SPJ4

a 617 g mass is connected to a light springof force constant 4 n/m and it is free to oscillate on a horizontal, frictionless track. themass is displaced 9 cm from the equilibriumpoint and released form rest.4 n/m617 g9 cmx

Answers

k=4 n/m, A=0.09 m, and m=0.617 kg.

1) T = m/n square root of 2 pi T = 2.466 sec

2) where w = 3.4606 rad/s and w = square root of k/m

Vmax = A*w = 0.311 m/s 3) a max = A*w*w  

 a max =7.389 m/s square

learn more about  mass

https://brainly.com/question/15044443

#SPJ4

block starts at the bottom of a ramp making an angle of θ with the horizontal, at initial speed v0 . as it slides up it slows due to gravity and kinetic friction, eventually coming to a stop. static friction is not large enough to hold it at res

Answers

The block has gravitational potential energy when it briefly comes to rest at the top of the ramp and starts with kinetic energy at the bottom. However, some of that energy is lost due to frictional effort. Use Newton's second law to determine the friction force on the block.

The work-kinetic energy theorem can be used to provide a solution to this issue. Start by calculating how far the block will travel up the ramp. The block has gravitational potential energy when it briefly comes to rest at the top of the ramp and starts with kinetic energy at the bottom. However, some of that energy is lost due to frictional effort.

You can use a free body diagram and Newton's second law to calculate the frictional force on the block. The frictional energy is calculated as the frictional force multiplied by the distance the block travels up the ramp.

The distance climbed up the ramp will also affect how much the gravitational potential energy changes. You can now generate kinetic energy.

To know more about kinetic energy click on the link:

https://brainly.com/question/999862

#SPJ4

a jet plane is cruising at 300 m/sm/s when suddenly the pilot turns the engines up to full throttle. after traveling 4.1 kmkm , the jet is moving with a speed of 400 m/sm/s.

Answers

The direction of the net force acting on an object defines the direction of its acceleration. The acceleration of the plane is 8.75 m/s².

What is meant by acceleration ?

Any procedure where the velocity varies exists directed to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This exists because velocity exists both a speed and a direction.

The initial speed of a plane is [tex]$v_{i s}[/tex] = 300 m/s

Distance covered by plane is s = 4 km = 4000m

The final speed of the plane is [tex]$$v_{f s}[/tex] = 400 m/s

The acceleration of the plane.

Using kinematical equation v²[tex]{ }_{f s}[/tex] = v²[tex]{ }_{\text {is }}[/tex] + 2as

Substitute known values in the above equation, we get

400² = 300² + 2 a(4000)

simplifying the above equation, we get

400² -300² = 8000 a

a = 70000/8000

= 8.75 m/s²

Therefore, the acceleration of the plane is 8.75 m/s².

To learn more about acceleration refer to:

https://brainly.com/question/605631

#SPJ9

This is an A level/ Cape physics problem under the topic uncertainty, please do your best to answer, thank you.

Answers

The radius of the cylinder is 0.43 cm while the uncertainty is 0.04. This can likely be expressed as 0.43 +/- 0.04 cm

What is Absolute Uncertainty ?

Absolute uncertainty or error is the difference between measured value of a quantity and the actual value.

Given an expression for the volume of a cylinder to be

V = πr²h

Where

V = 12 +/- 0.5 cm³h = 21 +/- 0.1 cm

From the formula, make radius r the subject of the formula and calculate the radius

V = πr²h

r² = V/πh

r = √(V/πh)

r = √12/21π

r = √12/65.97

r = √0.18

r = 0.43 cm

The uncertainty Δr will be

Δr/r = (ΔV/V + Δh/h) × 2

Δr/0.43 = (0.5/12 + 0.1/21) × 2

Δr/0.43 = (0.0417 + 0.0048) × 2

Δr/0.43 = 0.093

Δr = 0.093 × 0.43

Δr = 0.0399

Δr = 0.04

Therefore, the radius of the cylinder is 0.43 +/- 0.04 cm

Learn more about Uncertainty here: https://brainly.com/question/1970053

#SPJ1

A person expended 600J of work to move a 95N move a full wheelbarrow. How far was the wheelbarrow moved?

Answers

Answer:

6.3 m

Explanation:

Work = force   X    distance

 600 = 95   x   d

d = 600/95 = 6.3 m

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

What element is shown below?

Answers

Boron because the atomic number is 5 and that’s the number of electrons is 5

suppose you are standing in an elevator that is accelerating. what does the acceleration have to be so that your weight feels tripled? assume the positive direction is upwards.

Answers

In order the weight feels tripled, the elevator should be moving upward with acceleration 2g m/s² or two times of gravitational acceleration.

The free body diagram is shown on the attached picture.

The scale will read the normal force.

Suppose the elevator is moving upward. Using the Newton's second law of motion:

∑F = m.a

N - w = ma

N = mg + ma

Suppose the elevator is moving downward.

w - N = ma

N = w - ma

N = mg - ma

Where:

m = mass

a = acceleration

g = gravitational acceleration

From the above 2 cases, in order the scale to read the measured weight higher than its actual weight, N should be greater than w, or N = mg + ma, or the elevator should be moving upward.

The weight feels tripled means N = 3 mg.

Hence,

3 mg = mg + ma

a = 3g - g = 2g

Therefore, in order the weight feels tripled, the elevator should be moving upward with acceleration 2g m/s²

Learn more about acceleration here:

https://brainly.com/question/22048837

#SPJ4

a dragster gets to a peed of 112m/s over a distance of 300m from rest. Determine the acceleration of the dragster.

Answers

A dragster gets to a speed of 112 m/s over a distance of 300 m from the rest, then the acceleration will be 20.9 m/s².

What is Acceleration?

The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

According to the question, the given values are :

Final velocity, v = 112 m/s.

Initial velocity, u = 0 m/s

Distance, s = 300 m.

Use the equation of motion,

v² - u² = 2as

112 ² - 0 = 2 (a)(300)

a = 12544/600

a = 20.9 m/s².

Hence, the acceleration of the dragster will be 20.9 m/s².

To get more information about Acceleration :

https://brainly.com/question/20382454

#SPJ1

When an engine works, energy is transferred from one form to another form in four stages. The energy wasted in each stage is 10%. Calculate the efficiency of the engine.


(I WILL GIVE BRAINLIEST PLS HELP)

Answers

The efficiency of the engine is 60%.

What is the efficiency of engine?

The efficiency of a heat engine describes the amount of input energy converted into useful work.

It also entails the amount of useful work done by the engine. The greater the amount of useful work done by the engine, the greater the efficiency of the engine.

The efficiency of an engine ranges from 0 to 100%.

If there four stages in the energy conversion cycle, and 10% energy is wasted in each cycle, the total energy wasted in the four cycles is calculated as;

Total wasted energy = 4 x 10% = 40%

Efficiency of the engine = Useful energy = 100% - 40% = 60%

Thus, the efficiency of the engine is the useful work done by the engine.

Learn more about efficiency here: https://brainly.com/question/15418098

#SPJ1

Guys if anyone knows how to answer, please help me with this question

Answers

Answer:

V = a t

t1 = 15 / 9.8 = 1.53 sec       time to reach 0 speed

t2 = t1 = 1.53 sec        time to reach point thrown

t3 = 5 - 2 * 1.53 = 1.94 sec    time to fall height of cliff

H = V0 t - 1/2 g t^2       time to fall height of cliff   (if V0 positive)

V0 = -15 m/s since it will return to thrown height with speed thrown up

Signs chosen must be consistent

H = -15 * 1.94 - 1/2 9.8 * 1.94^2 = -47.5 m where H is height of cliff

The

Suppose that, while in a squatting position, you stand on your hands, and then you pull up on your feet with a great deal of force. You are applying a large force to the bottoms of your feet, but no matter how strong you are, you will never be able to lift yourself off the ground. Use your understanding of force and motion to explain why this is not possible.

Answers

Answer: The Earth's gravity is too strong.

Explanation: I don't have a full understanding, but probably the Earth is too strong. If you push yourself up, it'll feel difficult.

Car distance after 5 seconds
If a car travelling at 15 m/s applies the brakes at time 0 seconds and slows down at - 2 m/s2 find the distance the car travels after 5 seconds.

Answers

69

69
69

69                                                      44444444444444444444444444444444

In a closed system Mechanical Energy is constant

true or false

Answers

The answer is true!!!!!!!!!!!

What will happen to acceleration of mass spring system if its mass is doubled?
explain mathematically and briefly

Answers

Answer:

If the mass is doubled, then acceleration will be halved.

Explanation:

That situation is described by Newton's Second Law of Motion. F is force, m is mass and a is acceleration. The math behind this is quite simple. If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.

According to Newton's Second law of Motion, the acceleration of the mass spring system will be halved if the mass of the spring system is doubled.

What is Newton's Second law of Motion?

Newton's second law of motion states that when an external net force is applied on an object, the acceleration of the object is proportional to the net force which is applied on the object, and it also occurs in the same direction as the direction of applied force. The acceleration of an object is inversely proportional to the net force applied and acceleration is inversely proportional to the mass of the object.

This situation can be best described by Newton's Second Law of Motion. The second law of motion can be expressed by the equation:

F = m × a

where, F is force,

m is mass, and

a is acceleration

Mass of an object is inversely proportional to the acceleration of the body. If the mass of the spring system is doubled then the acceleration of the object will be reduced to half.

Learn more about Newton's law here:

https://brainly.com/question/15280051

#SPJ2

a mIssile is moving 1810 m/s at a 20.0 angle. it needs to hit a target 19,500 m away iin a 32.0 direction in 9.20 s. what is the magnitude of the acceleration that the engine must produce

Answers

A missile is moving 1810 m/s at a 20.0 angle. it needs to hit a target 19,500 m away in a 32.0 direction in 9.20 s. The acceleration that the engine must deliver is 112 meters per second.

What is acceleration?

The term "acceleration" refers to the rate of change in the object's velocity in relation to time, and it is measured in meters per second (m/s). In most contexts, meters per second squared is the unit of measurement for acceleration.

Let us start by thinking about the component that is horizontal in the x direction.

The length of travel in a plane horizontal to the starting point.

x = 19,500 cos 32.0° m

Using the second equation of motion to determine acceleration along the horizontal axis in order to:

[tex]x = ut + 1/2at^2[/tex]

[tex]19,500 * (cos 32.0^0 = 0 + (1810* cos 20.0^o) *9.20+ 0.5*a *9.20^2[/tex]

a = 21.01 m/s²

The same may be said for the vertical direction.

The distance traveled in the upward and downward directions combined.

Y is the velocity in the vertical direction, and it is equal to 19,500 in 32.0° m.

u= 1810 sin 20.0° m/s

t = 9.20 s

For the purpose of determining acceleration along the vertical axis by using the second equation of motion, For the purpose of determining acceleration along the vertical axis by using the second equation of motion

[tex]y = ut +1/2at^2[/tex]

19,500 sin 32.0° = 0 + (1810 sin 20.0^o)* 9.20 + 0.5*a* 9.20^2

a = 109.6 m/s^2

The resultant acceleration

[tex]a^2 = (21.01)^2 + (109.6)^2[/tex]

a = 112 m/s²

Learn more about acceleration from here

https://brainly.com/question/12550364

#SPJ1

A skydiver falls toward the ground at a constant velocity. Which statement best applies Newton’s laws of motion to explain the skydiver’s motion?

An upward force balances the downward force of gravity on the skydiver.
The skydiver’s inertia is zero, which no longer allows for acceleration.
An unbalanced force pulls the skydiver toward the ground.
The mass of the skydiver is so great that there is no acceleration.

Answers

Answer:

Newton's First Law

Explanation:

As you had already mentioned the explanation about the querry you have,

I accept the reasons you have mentioned.

Definitely an upward force will balances the downward force on the skydiver, And the unbalanced force pulls the skydiver towards ground was the Gravitational force. As there is no any other acceleration, the velocity of the skydiver towards the ground is 9.8.

The skydiver's motion can vary in different views like,

1. A person in the plane view is a parabolic path.

2. A person from the ground view is straight line path.

So, the skydiver's motion varies according to the observer view.

date: 09-10-2022

Answer: A

Explanation: yes

What force do you need to accelerate a car at 5m/s2 that has a mass of 3,000kg?

Answers

The force needed to accelerate a car at 5 m / s² that has a mass of 3,000 kg is 15 KN

F = m a

F = Force

m = Mass

a = Acceleration

m = 3000 kg

a = 5 m / s²

F = 3000 * 5

F = 15000 N

F = 15 KN

According to Newton's second law of motion, the force is equal to the rate of change of momentum of the object.

Therefore, the acceleration of the car is 15 KN

To know more about Newton's second law of motion

brainly.com/question/13447525

#SPJ1

Which is the CORRECT description of the sequence of energy transformations occurring in this system?

Answers

Answer:

Explanation:

(I) Electrical energy into sound energy. (ii) Heat energy into kinetic energy (or mechanical energy). (iii) Chemical energy into kinetic energy (or mechanical energy). (iv) Chemical energy into heat energy

what is the relationship between wavelength of light and the quantity of energy per photon? question 4 options: they have a direct, linear relationship. they are logarithmically related. they are only related in certain parts of the spectrum. they are inversely related.

Answers

Last option is correct that is the relationship between wavelength of light and the quantity of energy per photon is inversely related.

Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon. The energy of a photon increases with its frequency. In other words, the energy of a photon decreases with increasing wavelength. Wavelength and frequency are related to energy in the same way that they are to light. Greater energy is correlated with shorter wavelengths and higher frequencies. Therefore, lower energy is produced by longer wavelengths and lower frequencies. E = hv is the energy equation. When we increase the denominator, the fraction also increases, resulting in a decrease in energy. As a result, energy and wavelength have an inverse relationship.

Learn more about Wavelength here-

https://brainly.com/question/13533093

#SPJ4

an object has a mass of 10 kg and is pushed with a force of 2 N, how far did the object accelerate?

Answers

An object has a mass of 10 kg and is pushed with a force of 2 N the object acceleration is  0.2m/s².

Given;

m = 10 kg

F = 2N

by using Newton's second law of motion that is the formula of force

F = ma

a =  F/m

a = 2/10

a = 0.2m/s²

What is acceleration?

An object is said to accelerate when its velocity changes. A change in the speed of an object can be an increase or decrease in speed or a change in  direction of motion. Some examples of acceleration are a falling  apple, the moon orbiting  the Earth, or  a car stopping at a traffic light. Using these examples, we can understand that when  a moving object changes direction or increases or decreases speed, acceleration occurs.

The  unit of acceleration is  meter per second per second (m/s2).

There are 2 types of acceleration

Uniform Non-uniform acceleration

To learn more about acceleration, refer;

https://brainly.com/question/107797

#SPJ13

A spring gets 3.0cm longer when a 1.5N weight hangs from it. Calculate the extension with a 6.0N weight?

Answers

Answer:

The extension of an elastic object when a force is applied, such as a spring, is described by Hooke's law: force = spring constant × extension.


a person travels by car from one city to another with different constant speeds between pairs of cities. she drives for 40.0 min at 70.0 km/h, 16.0 min at 75.0 km/h, and 50.0 min at 40.0 km/h and spends 35.0 min eating lunch and buying gas.

Answers

The Average speed is 42.44 km/h ,the distance between cities is 99.02kmSpeed is the rate at which something or someone is moving.

The average speed of an object can be determined if you know the distance traveled and the time it took. Distance times speed is how speed is computed. In order to compute the units for speed, you must be aware of the units for both distance and time. Given that the distance in this example is measured in metres (m) and the duration is recorded in seconds, the units will be metres per second (m/s) For the purpose of calculating the other two, we require the other two (time, speed, or distance). To determine how long it will take to complete a journey, for example, information about the distance and speed of travel is needed.

learn more about Speed here:

https://brainly.com/question/5147964

#SPJ4

an 8.19 kg mass moving east at 16.6 m/s on a frictionless horizontal surface collides with a 10.4 kg mass that is initially at rest. after the collision, the 8.19 kg mass moves south at 2.24 m/s. what is the magnitude of the velocity of the 10.4 kg mass after the collision?

Answers

The magnitude of the velocity of 10.4kg mass after the collision is 12.8m/s

Using the law of conservation of momentum

Sum of momentum before collision = sum of momentum after collision

m1u1 +m2u2 = m1v1+m2v2

m1 = 8.19kg

u1 = 16.6m/s

m2 = 10.4kg

u2 = 0m/s(at rest)

v1 = 2.24m/s

v2 = ?

Substitute

8.19(16.6)+10.4(0) = 8.19(2.24)+10.4v2

146.4=18.3+10v2

146.4-18.4 = 10v2

128 = 10v2

v2 = 128/10

v2 = 12.8m/s

Learn more about velocity from:

https://brainly.com/question/21126926?referrer=searchResults

#SPJ4

Other Questions
Solve k over negative 1.6 is greater than negative 5.3 for k.k > 8.48k < 6.9k > 6.9k < 8.48 a truck moves northeast covering 4 kilometer and then turns northwest covering 3 kilomtres. calculate the magnitude and direction of these journey. how did robin goodfellow break up the fight between lysander and demetrius? john measured two pieces of strings. one piece measured 7/12 m and the other measured 4/7 m. sect the true statement about the lenghts of john strings. Which of the following are true of Bartholome de Las Casas's description of the Spanish conquest? Select all that apply.His stories of Spanish violence helped allowed other European powers to favorably compare their conquests and colonization to the Spanish.He asserted that the indigenous Americans had a unique culture that should be respected and from which the Spanish could learn.While critical of Spanish violence, he generally approved of the reading of the requirimiento. All of his anecdotal evidence is things that he saw happen as an eyewitness.His depiction of the indigenous Americans partoook of similar stereotypes created by Columbus. Does this graph represent a function? Why are why not? to measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. if the paddle wheel has radius 0.40 m and rotates at 100 rpm, find the speed of the current in m/s. Substances like water have their own chemical formulas. What does a chemical formula tell you? Read the following lines from ""Tonight I Can Write.""Write, for example, The night is starry and the stars are blue and shiver in the distance. The night wind revolves in the sky and sings.Which of the following words is used to personify the image of the stars?A.) starryB.) blueC.) shiverD.) sings2. In ""Tonight I Can Write,"" the poet personifies each of the following exceptA.) the sky.B.) the heart.C.) the soul.D.) the voice. Find the zeros of the function and state the multiplicities.k(x)=15x-48x-48xIf there is more than one answer, separate them with commas. Select "None" if applicable.Part: 0/2Part 1 of 2Zero(s) of k: Write the domain as an inequality and range as inequality Which percent is larger 5 , 15 or 20? Write the isotope notation for an atom that has 7 protons and 9 neutrons. What will be the end result for the taxpayer who filed his federal income tax return using the 1040EZform shown below? The Latin American revolutions from 1804 to 1821 wereunsuccessful and left strong conservative governments in place.unsuccessful and left strong liberal governments in place.successful and had similar styles of government in the various countries.successful and had different styles of government in the various countries. What is the Cloud Controls Matrix (CCM) from the Cloud Security Alliance (CSA) (see link below)? How could this be useful when assessing vendors? Who benefits from this type of matrix? Vendors, customers, or both? how might you change the number of people to decrease the carriages acceleration? The unit explores the idea and importance of juxtaposition within setting, giving the example of a father and son having a serious talk at a fair rather than in the predictable quiet living room. Consider a book or story that you have read that clearly shows some type of juxtaposition within the plot, setting, or characters. Briefly explain how this juxtaposition serves to show contrast and highlight certain themes or ideas. James worked 48 hours last week. His straight time wage is $18 per hour and he earns time-and-a-half for anyhours worked over 40 hours per week. What is James's gross pay for the week?OA. $1,296.00OB. $1,152.00OC. $864.00OD. $936.00 janice was given a piggy bank on her seventh birthday, and she put it to use immediately. each time she puts one or more coins into the piggy bank, she keeps track of the number of coins she has collected to date and the accumulated value of her collection. janice collects only nickels, dimes, and quarters. six months after her seventh birthday, janice looked at her record and ascertained that she had collected 540 coins, which were worth $60. janice counted 100 quarters in her savings. how many nickels and dimes are in her collection?