A 40 N box is pushed 5 m up a ramp. The angle of the ramp is 37° above the horizontal. The applied force is parallel to the ramp and opposed by a frictional force of 10.0 N. Find the net increase in potential energy by the crate.

Answers

Answer 1

The net increase in potential energy by the crate is negative 49.4 Joules. That is, ΔP.E = - 49.4 J

Given that a 40N box is pushed 5 m up a ramp. The angle of the ramp is 37° above the horizontal.

We can find the height h of the ramp with the equation below;

h = 5sin 37

h = 3.009 m

Mass of the box = 40/9.8 = 4.082 kg

The maximum energy attained = mgh

Maximum Energy = 4.082 x 9.8 x 3.009

E = 120.36 J

The maximum K.E = Maximum P.E

1/2m[tex]U^{2}[/tex] = 120.36

m[tex]U^{2}[/tex] = 240.72

[tex]U^{2}[/tex] = 240.72 / 4.082

[tex]U^{2}[/tex] = 58.97

U = [tex]\sqrt{58.97}[/tex]

U = 7.7 m/s

We can find the acceleration by using third equation of motion

[tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2aS

Since the box is going to rest, V = 0, and acceleration will be negative

0 = 7.7^2 - 2 x a x 5

10a = 59.29

a = 59.29/10

a = 5.93 m/[tex]s^{2}[/tex]s^2

The applied force F = ma

F = 4.082 x 5.93

F = 24.2 N

Given also that the applied force is parallel to the ramp and opposed by a frictional force of 10.0 N. The net increase in potential energy by the crate will be

ΔP.E = Net work done

ΔP.E = Net force x distance

ΔP.E = (24.2 - 10 - 40sin37) x 5

ΔP.E = - 9.87 x 5

ΔP.E = - 49.4 J

Therefore, The net increase in potential energy by the crate is negative 49.4 Joules.

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Related Questions

Larousse Language College will have 201 students in the Sixth Form next year. Mr Roche, who
does the timetabling, knows that between 70% and 75% of the students intend to study French
and between 40% and 50% of the students intend to study German. All students study either
French or German or both.

Answers

By using Venn diagram method, the smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

Given that Larousse Language College will have 201 students in the Sixth Form next year. And between 70% and 75% of the students intend to study French. Also, between 40% and 50% of the students intend to study German.

If  all students study either French or German or both, the least number of students that will study French will be

70/100 x 201

140. 7

Which means 141 students

The least number of students that will study German will be

40/100 x 201

80.4

That means 81 students

Also, the maximum number of students that will study French will be

75/100 x 201

150.75

That is 150 students ( Because approximation can't be done twice)

And the maximum number of students that will study German will be

50/100 x 201

100 students ( Because approximation can't be done twice)

a.) The smallest number of students that intend to study both French and German can be calculated as followed

Let the smallest number be x

141 - x + x + 81 - x = 201

222 - x = 201

- x = 201 - 222

-x = - 21

x = 21

b.) The largest number of students that intend to study both French and German can be calculated as followed

Let the largest number be y

150 - y + y + 100 - y = 201

250 - y = 201

- y = 201 - 250

-y = - 49

y = 49

Therefore, The smallest and the largest number of students that intend to study both French and German are 21 and 49 students respectively.

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Can some help me with Question it's and emergency.
How did the film “The Birth of a Nation” Affect the African American community?

Answers

the movie's overt racism outraged African Americans and civil rights advocates.

What are the advantages and disadvantages of two-wheeled transportation?
edge2021

Answers

howdy! ^_^

the sample response from edge is

Two-wheeled transportation is an inexpensive way of traveling in comparison to cars, they conserve energy, and require little parking space. The disadvantages are they have high accident rates, requires special skill, constant attention, and requires the use of appropriate safety equipment.


hopefully this helps! goodluck<3

Explain four reasons of preserving farm produce​

Answers

The following are some of the reasons we preserve our food.

Not to lose it freshness

.To prevent contamination and infection

.To prevent food from smelling

.To keep insect and other pest away from the food.

Keeps farm produce in good condition for planting in the next season

.To keep food for a long period of time.

Explanation:

One- Not to lose it freshness.

Two- To prevent contamination and infection.

Three- To prevent food from smelling.

Four- To keep insect and other pest away from the food.

I am with you wherever you go, but I am never personally there.
What am I????

Answers

Answer:

I'm pretty sure the answer is God.

100 Points.

What does it mean when a guy calls you pretty?
I know there is a difference from Pretty Buitiful, and Cute. But I don't know the difference please help.

Answers

Answer:

hmm i know STOP BEING A STALKER TO NARUTO

Explanation:

Answer:

Beautiful is probably the highest compliment, because it`s respectful and kinda ego-boosting. When they call you pretty, it`s a lesser version of beautiful but it`s still a nice compliment. Pretty is a term that friends like using amongst each other (at least my friend group, id.k for anyone else).

Cute is just straight up flirtatious, unless you`re talking to a friend. It`s the all-purpose term for complimenting lm.ao

Hope this helps :/

Use the FOIL method to find the terms of the following multiplication problem.
(4+3i) (6-3i)

Answers

Answer:

i=2, -12/9

Explanation:

Step one: Using FOIL: (4+3i) (6-3i)--> 4*6+4*-3i+ 3i*6+ 3i*-3i

Step two: Simplify the new equation--> 24-12i+18i-9i²

Step three: Putting that into the quadratic equation--> -9i²+6i+24

Step four: Use the quadratic formula or the X-method (I'm going to use the X-method)

Step five a: Setting it up to use the X-method--> ax²+bx+c=0

Step five b: a=-9 b=6 c=14

Step six:

Step seven:

Step eight: i= -2, -12/9

Hope that helps! Let me know if you need anymore help!

How were social categories, roles, and practices maintained or changed from 1450-1750?

Answers

Answer:

This is an essay question. You need to develop a theory about the three biggest forces in world history during that 300 year period. You should look at the movement of capital, the movement of ideas, and the movement of people. That should get you started with a tidy five para structure. You will need to gather some sources together. Happy research!

During an el Niño event warm surface water moves from the western equatorial Pacific Ocean to the eastern equatorial region. Which of the following best describes how the warm water w
affect upwelling off the coast of equatorial South America?
The warm surface water will not change upwelling because this region is at the equator and always has warm water
The warm surface water will increase upwelling because of the difference in salinity between the warm surface water and the cold deep water,
The warm surface water will decrease upwelling because the cooler temperatures on land in the region will prevent upwelling.
The warm surface water will decrease upwelling because of the density difference between the warm surface water and the cold deep water.

Answers

The statement 'warm surface water will decrease upwelling because cooler temperatures on land will prevent upwelling' describes how the warm water affects upwelling. El Niño is a climatic phenomenon.

El Niño is a climate phenomenon characterized by the warming of the surface water in the tropical Pacific Ocean.

The upwelling refers to the rising of deeper and colder water to shallower depths (i.e., the movement of deeper water to shallow levels), which occurs during the El Niño phenomenon.

The El Niño occurs every 2 to 7 calendar years as a consequence of the unusual warming of the sea water surface temperatures in the eastern tropical Pacific Ocean.

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Catherine takes out a subsidized loan of $5,000 with an interest rate of 2%. How much will she owe on this loan at the time of graduation?
$5,000


$100


$5,400

$0

Answers

The answer is $5,400

Identify the legal concern that is common to both Trump v. Hawaii
(2017) and Baker v. Carr (1962)

Answers

Answer:

In Hawaii v. Trump, the Supreme Court considered whether President Trump's travel ban exceeds the President's delegated powers under the Immigration and Nationality Act and violates the Establishment Clause of the First Amendment

It should be noted that the cases established the right of federal courts to review redistricting issues outside the courts' jurisdiction.

In Hawaii v. Trump, it was considered whether President Trump's travel ban exceeds the President's delegated powers.

In  Baker v. Carr (1962), the court ruled that federal courts can enforce the 14th amendment in a situation where the state legislative districts are populated.

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5.During the process of condensation water in ________ state changes to ________ state.

Answers

During the of condensation , water in a gas state changes to a liquid state.



Looking at a hypothetical situation requires what kind of thinking

Answers

Most likely requires hypothetical thinking, such as "what if........happened?"

I am always here, but you can never see me.
What am I????

Answers

Answer:

future?

Explanation:

What are the arithmetic operators?give an example using at least one arithmetic operator and at least two values

Answers

Answer:

I don't know

Explanation:

What holioday is your favorite if you answer correct you get brainliest

100 points

Answers

Answer:

Christmas and valentines day

Christmas bc i love giving gifts and spending time with fam

valentines day bc i like getting Chocolate  lol

:)

The global positioning system (GPS) is a system of satellites that provides precise velocity and positional information for all locations on Earth. Describe how GPS data are used in the study of certain animals. (0.5 point) Think about how wild animals can be tracked over great distances.

Answers

Answer:GPS tracking is the newest technology being used to track wildlife. In GPS tracking, a radio receiver, not a transmitter, is placed on the animal. The radio receiver picks up signals from special satellites. The receiver has a computer that then calculates the location and movement of the anima

Explanation:

GPS data is extensively used in the study of certain animals to understand their movements, behaviors, and habitats.

Researchers attach GPS tracking devices to animals such as migratory birds, marine mammals, and large terrestrial mammals. These devices record the animal's location at regular intervals, allowing scientists to track their movements over time.

By analyzing GPS data, researchers can identify migration routes, feeding areas, and breeding grounds of the studied species.

This information is vital for conservation efforts, as it helps identify critical habitats and migration corridors, assess the impact of human activities, and inform effective management strategies to protect these animals and their ecosystems.

GPS technology revolutionized the understanding of animal behavior and contributed significantly to wildlife conservation efforts.

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What role do you think parents have in making sure that their kids eat healthy? Do you think you eat healthy in your home?

Answers

Answer:

As a parent, you have an important role in shaping your children's eating habits. By creating a positive eating environment and being a good role model, you can help your children develop healthy eating habits that can make a lasting impact on their health.

hi

have a good day

thank me later

carryonlearing

Read the following poem carefully before you choose your answer.

The following poem is addressed to a friend of the speaker.

Then hate me when thou wilt; if ever, now;
Now, while the world is bent my deeds to cross,
Join with the spite of fortune, make me bow,
And do not drop in for an after-loss:
(5) Ah, do not, when my heart has 'scaped this sorrow,
Come in the rearward of a conquered woe;
Give not a windy night a rainy morrow,
To linger out a purposed overthrow.
If thou wilt leave me, do not leave me last,
(10) When other petty griefs have done their spite;
But in the onset come, so shall I taste
At first the very worst of fortune's might;
And other strains of woe, which now seem woe,
Compared with loss of thee, will not seem so.
(1609)

Which of the following best describes the function of the poem's couplet?

A) It challenges the notion that the relationship will end.
B) It discounts the speaker's concerns with a hint of possible change.
C) It introduces an explanation for the speaker's strong feelings.
D) It remarks on the recipient's sudden and unexpected change of heart.
E) It summarizes why the relationship should be dissolved now.

Answers

Answer:

b is the answer if not sorry

The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

What is fortune's night?

This particular sonnet and those which are numbered 1-126 belong to Shakespeare’s famous Fair Youth sequence. These poems are devoted to a young, beautiful man whose identity remains unknown to this day. There has been a great deal of speculation about who this young man could possibly be, but no single identity has ever been decided upon.

Shakespeare uses a variety of poetic devices in "Sonnet 90." These include metaphor, caesura, and alliteration, among others. When words that start with the same sound are used consecutively or even just near to one another, alliteration develops.

When a line is cut in two, sometimes with punctuation and other times without, this is known as a caesura. Punctuation in these places causes a highly deliberate stop in the text.

Therefore, The poet's couplet describes the It discounts the speaker's concerns with a hint of possible change.

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Could anybody look over my AP US Government Exam and correct me on anything I might have gotten wrong

Answers

I believe #7 is Answer choice A

how would most Spanish speaker ask the school principal for his or her office telephone number

Answers

Answer:

Disculpe director, ¿podria darme el número de teléfono de su oficina?

Explanation:

Tu créeme

Which statement is FALSE concerning the Qur'an:

1.
The Qur'an discusses personalities found in Jewish and Christian Bibles

2.
Only the Arabic version is considered to be fully authoritative

3.
Every surah opens, "In the name of God, the Compassionate and Merciful."

4.
Muslims hold up Muhammad's thorough education as a sign of the quality Arabic of the Qur'an

Answers

Answer:

Only the Arabic version is considered to be fully authoritative

Explanation:

Which of the following identifies an error in Mathus' theory?


A. A famine caused food production to fall instead of grow as Malthus predicted.

B. The population grew much more than Malthus predicted.

C .A war reduced the population size instead of growing as Malthus predicted.

D. Food production grew much more quickly than Malthus predicted.

E. The population remained steady and did not grow as Malthus predicted.

Answers

D.- Food production grew much more quickly than Malthus predicted

Answer:

its D

Explanation:

i just took the exam it was right

John notices Jimmy taking $5 from the cash register at the end of the night. Jimmy says that the company owes him for making him work three Friday nights in a row. Jimmy also asks John not to tell anyone. John’s ethical duty is to ______. a. Stay loyal to Jimmy and not turn him in b. Forget the incident because it doesn’t involve him c. Ask Jimmy for half the money not to tell d. Turn Jimmy in despite his protests Please select the best answer from the choices provided A B C D

Answers

Answer:

Explanation:

super subjective, but i assume they want D

John’s ethical duty is to turn Jimmy in despite his protests, hence option D is correct.

What is work Ethics?

Work Ethics are a set of standards, values, and moral with which employees executes their duties e,g Integrity.

In this case, if John does not turn Jimmy in, he will be an accomplice which is unethical also.

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In a cluster sample:

A. a subset of naturally occurring groups are randomly sampled.

B. an alphabetic list of individuals is used for random selection into

the sample.

C. individuals are distinguished based on some characteristic such

as gender before they're randomly selected from the population.

D. only convenient members of the population are chosen.

E. None of the above

Answers

In a cluster sample only convenient members of the population are chosen. The correct option is D.

What is cluster?

In cluster sampling, a population is divided into clusters, which are smaller groups. They then choose a sample at random from these clusters.

Often employed to investigate huge populations, particularly those that are extensively geographically distributed, cluster sampling is a probability sampling technique.

Large, dispersed populations should be studied using cluster sampling because interviewing every individual would be expensive, time-consuming, and possibly impossible.

Cluster sampling enables the construction of smaller, more similar representations of the population being studied. Only practical population members are picked for a cluster sample.

Thus, the correct option is D.

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20 POINTS!!!!
Which of the following statements BEST describes the position of the United States following World War II?

The United States should set up and control democratic governments in allied European countries.
Promoting democracies in European countries is the best way for the United States to combat the spread of communism.
The United States should not be expected to provide financial aid to countries struggling to rebuild after the war.
It is not the United States' responsibility to provide aid to states that have resisted communist takeovers.
The United States should focus attention on Western Europe only.

Answers

The first one. Skshsbeebshshshdhdbdbdbd

What is the percent rate of increase for the exponential function f (x) = 2.5(1.3)^x

Answers

Answer:

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

So the answer is

f(x)=5IN13/1013*/210*

That's the correct answer I see in my book

f(x)=5•IN13/10•13*/2•10* is the percent rate of increase for the exponential function.

What is an exponential function?

The formula for an exponential function is f (x) = ax, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Y=abx y = a b x is the fundamental exponential function equation, where a denotes the y-intercept and b the growth factor.

When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.

f(x) = d/ dx (2.5x1.3)

f(x) =2.5×d/dx(1.3*)

f(x) =5xIn 13/10 x 13*/2×10*

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What statement is incorrect about natural selection

Answers

Answer: What statement is incorrect about natural selection

Explanation: Human genetic modification.

a crocodile ate my shoes ​

Answers

Answer: Spiderman

Explanation: The raccoon man said so

Hope they weren’t crocs. Hate to see croc on croc violence ;(

What composition of rigid motions maps ΔPQR to ΔXZY?


A. T<1, 3> ◦ r(270°, O)


B. Rx = 0 ◦ T<0, 2>


C. T<6, 2> ◦ Rx = −2


D. Ry = −2 ◦ T<6, 0>

Answers

Answer:

reflection across x=1, translation up 2

units

Step-by-step explanation:

The order of vertices PQR is

clockwise, and the order of XZY

is counterclockwise. This means a

reflection is involved. The longest and

shortest sides are at the left and bottom

of APQR, and at the right and bottom

of AXZY, indicating the reflection is

left-right, not up-down.

Line x=1 contains the midpoints of

segments PX, QZ, and RY, so that is a

suitable line of reflection. Once APQR

is reflected over that line, it needs to be

translated upward 2 units to coincide

with AXZY.

The motions are ...

.

reflection over x=1

translation up 2

.

The motions could also be ...

reflection over y, translation right 2 and

up 2.

ANSWER

The composition of rigid motions maps ΔPQR to ΔXZY is T<6, 2> ◦ Rx = −2. The correct option is C.

What are rigid motion maps?

In rigid motion, the position or orientation of the entire set changes without affecting the separation between the line segments. A triangle, for instance, can turn or slide but not extend or squeeze.

PQR's vertices are in clockwise and XZY's are in a counterclockwise sequence. This indicates that a reflection is necessary. The reflection is left-right, not up-down, as evidenced by the longest and shortest sides being on the left and bottom of A PQR, and on the right and bottom of AXZY, respectively.

The midpoints of the segments PX, QZ, and RY are on line x=1, making it a viable line of reflection. To match with AXZY, APQR must be translated upward 2 units after crossing that line.

Therefore, the correct option is C. T<6, 2> ◦ Rx = −2.

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The question is incomplete. Your most probably complete question is given below:

The image is added.

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