A boy pulls a wagon a distance of 1.2 km. An applied force of 22N is directed at an angle of 25 degrees above the horizontal. How much work is done?

Answers

Answer 1

Answer: 23.92 kJ

Step-by-step explanation:

Given

Distance moved by wagon is [tex]d=1.2\ km[/tex]

Force [tex]F=22\ N[/tex] directed at an angle of [tex]25^{\circ}[/tex] above the horizontal

Only the horizontal component of the force that is, [tex]22\cos 25^{\circ}[/tex]the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

[tex]W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ[/tex]

thus, 23.92 kJ of work is done on the wagon.


Related Questions

What is the area of the trapezoid shown below? 5 units 6 units 9 units

Answers

Answer:

N/A

Step-by-step explanation:

Please be more specific, which is base and which is height

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

The product n and sum of n and 76

Answers

Answer:

n+76

n --> a number not determined (and a random product)

76 --> the number the problem gave

+ --> required for addition, which provides the sum

Name the special segment.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

3 2/3 - 1 1/4 what’s the answer

Answers

Answer:

95/12 as an improper fraction.

Answer:

[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!

Answers

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

rotate the object 90 degrees around the origin. What are the new coordinates?

Answers

Answer:

s

Step-by-step explanation:

d

20. Miguel started with $50
in his bank account. He
deposited $20. The next day
he withdrew $40. How much
is in his bank account?

Answers

Answer:

-$10

Step-by-step explanation:

50-20=

30

30-40

= -10

50+ 20
= $70
Then subtract the $40 from the new total
70-40
=$30

Help with this question!Please

Answers

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

PLEASE HELP Amber has 7 books to read. She will read 1/2 of a book each day. How many days will it take Amber to read all 7 books?

Answers

Answer:

14 days

Step-by-step explanation:

amiaoaodkwjwisodkwbqhshjdkekansxbudid

in Carla's backyard there are four trees whose measurements she records as 13 feet 7 feet 9 feet and 6 feet determine the mean height of trees in Carla's back yard​

Answers

Answer:

ok sure

Step-by-step explanation:

So 'mean' basically just means average, and to get the average you must first add together all of the measurements. Then you have to divide that number by how many measurements you have, and in this case that would be 4.

       13 + 7 + 9 + 6 = 35

           35 ÷ 4 = 8.75

So  the answer to this question is 8.75

The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)

Answers

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Complete the table to find the MAD of the data set.

Answers

Answer:

15

Step-by-step explanation:

Help me HOW which choice is it

Answers

number 3 is correct

Step-by-step explanation:

smaller<bigger

Number 3 should be correct

(15) A – 2 2/9 = 1 1/2

16) C – 6.0005 = 2.5

17) B + 55 = 83

Answers

Answer:

A= 67/18

C= 8.5005

B= 28

Step-by-step explanation:

Hi help me out thank youu love

Answers

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Please help me answer this ASAP!

Answers

Answer: z=25 x=114

Step-by-step explanation:

y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0

Answers

Answer:

y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

Step-by-step explanation:

To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0

Formula used -

L{δ(t − c)} = [tex]e^{-cs}[/tex]

L{f''(t) = s²F(s) - sf(0) - f'(0)

L{f'(t) = sF(s) - f(0)

Solution -

By Applying Laplace transform, we get

L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}

⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)}  − 4L{δ(t −5)}

⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]

Now,

Let

[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]

By Comparing, we get

A + B = 0 and 3A + 2B = 1

⇒A = -B

and

3(-B) + 2B = 1

⇒-B = 1

⇒B = -1

So,

A = 1

∴ we get

[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]

So,

Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]

⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]

By applying inverse Laplace , we get

y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]

⇒y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

It is the required solution.

What is the volume of the box

Answers

Answer:

Volume = 144 in.³

Step-by-step explanation:

Given:

Length = 9 in.

Width = 4 in.

Height = 4 in.

Required:

Volume

Solution:

Volume of a box = length * height * width

Volume = 9*4*4

= 144 in.³

Reese used a $60 Amazon gift card to buy stickers for her friends. After paying for 12 stickers, her balance on the gift card was $18. What was the price of each sticker, assuming all the stickers cost the same amount?

Answers

Answer:

3.5 dollars per sticker

Step-by-step explanation:

60 - 18 = 42

42 ÷ 12 = 3.5

I think this is the correct but it may be not , sorry if I wasn't that helpful...

Why did the physiocrats oppose mercantilism?

The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answers

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Help meeeeeee ASAP helppppppp

Answers

Answer:

45 × 1/3 = 15

Step-by-step explanation:

15 / (1/3) = (3×15)/1 = 45

so, from 15 / (1/3) = 45

we can then adapt the equation by multiplying both sides by 1/3

15 = 45 × (1/3)

Determine whether the data set represents a direct variation, an inverse variation, or neither?

A.direct variation

B. Inverse variation

C. Neither

Answers

The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.

What do you mean by Inverse Variation?

Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.

For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.

To know more about equation visit:

https://brainly.com/question/29174899

#SPJ1

Please answer number 9 I’ll give brainliest

Answers

Answer:

2/3 or 66.7%

Step-by-step explanation:

there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3

what expressions are equivalent to 1/5•1/5•1/5•1/5

Answers

Answer:

Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

c because if you put them both in the calculator they are the same

Can you help me with this, please? Thanks in advance ​

Answers

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

m∠TRU = 180° - 82° = 98°

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°

<TRU

180-<PQS180-8298°

Sum of 2 interiors =exterior

<RTU

155-9857°

Help!! If anyone could help, I’ll give Brainly! :) thank you so much

Answers

9514 1404 393

Answer:

  $50

Step-by-step explanation:

The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.

  I = Prt

  I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years

  I = $50

The interest earned in the account is $50.

What is the volume of the rectangular prism? Help pls

Answers

Answer:

10ft³

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 1/3 = 10ft³

Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?

Answers

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

PLZ AWNSER I HAVE 10 MIN TO COMPLETE

Answers

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

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