A 35-kg trunk is dragged 10 m up a ramp inclined at an angle of 12 degrees to the horizontal by a force of 90 N applied at an angle of 20 degrees to the ramp. At the top of the ramp, the trunk is dragged horizontally another 15 m by the same force. Find the total work done.

Answers

Answer 1

Answer:

The total work done is approximately 2,114.308 J

Step-by-step explanation:

The mass of the trunk = 35 kg

The height to which the trunk is dragged, d₁ = 10 m

The inclination of the plane on which the trunk is dragged = 12°

The applied force F = 90 N

The angle of inclination of the force to the ramp = 20°

The distance the trunk is dragged horizontally at the top of the ramp, d₂ = 15 m

Work = Force × Distance

The work done along the inclined plane, W₁ = 90 N × cos(20°) × 10 m ≈ 845.723 J

The work done along the horizontal, W₂ = 90 N × cos(20°) × 15 m ≈ 1,268.585 J

The total work done, W = W₁ + W₂

∴ W = 845.723 J + 1,268.585 J = 2,114.308 J


Related Questions

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

I’ll mark Brainliest if correct

Answers

Answer:

ace me queen me, king incl  black incl

Step-by-step explanation: hope it helped

75 percent of $82 i know the answer how do i solve helppppp

Answers

Answer:

61.5

Step-by-step explanation:

75% of 82 = [tex]\frac{75}{100}*82[/tex]

                 = 0.75 * 82

                 = 61.5

Answer:

$61.50

Step-by-step explanation:

You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.

inverse variation equation that relates x and y.

Answers

Answer:An inverse variation can be represented by the equation xy=k or y=kx . That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .

Step-by-step explanation:

What is the output of the following function for x= 1?

F(x) = -x^3 - 2x^2+7 x-10
A.-5
B.6
C.0
D.-6​

Answers

Answer:D.-6

Step-by-step explanation: -(1)^3-2(1)^2+7(1)-10

Answer:

D

Step-by-step explanation:

For an input of x = 1 , f(1) is the output.

Substitute x = 1 into f(x) , that is

f(1) = - 1³ - 2(1)² + 7(1) - 10 = - 1 - 2 + 7 - 10 = - 6 → D

Brainliest, 10 points

Answers

Answer:

first option is correct.

Step-by-step explanation:

Answer:

C. -16a(5)b³c²

If is an angle in quadrant II, what is the value of ?

Answers

The value of this answer is .B

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

Which of the binomials below is a factor of this trinomial? x2 + x-20

Answers

Answer:

the answer is c.x-4

Step-by-step explanation:

x^2+x-20

x^2+5x-4x-20

x(x+5)-4(x+5)

(x-4) (x-5)

69 POINTS! Answer these 2 questions in the attachment for brain list and 69 points

Answers

Answer:

Q1: I forgot measure of center but I think mean  Q2: D

Step-by-step explanation:

Plz help!!! I will give brainliest!!! No links!! Also plz explain how you got ur answer!

Lainee brought a book to read on the way to California. Once we go to the hotel, she had read 5/6 of it. What fraction of the book does she have left to read?

Answers

Answer:

1/6

Step-by-step explanation:

Because because there are six books in total and she only red 5 in the way

1/6th left because she divided her book into 6ths and she red 5/6 and 5-6 is 1 so that means she still has 1/6 of the book to read

The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer

Answers

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

Find all real square roots of 25.​

Answers

The square root of 25 is 5.
sorry if the answer is wrong

What is the product? (x + 3)(2 x minus 1) 2 x squared minus 3 2 x squared + 6 x 2 x squared + 5 x minus 3 2 x squared + 6 x minus 3

Answers

Answer:

2x² + 5x - 3

Step-by-step explanation:

(x + 3)(2x - 1)

Use FOIL

First terms

x * 2x = 2x²

Outer terms

x * -1 = -x

Inner terms

3 * 2x = 6x

Last terms

3 * -1 = -3

---------------------

FOIL

2x² - x + 6x - 3

Combine like terms

2x² + 5x - 3

What is the length of the radius, r?

Answers

Answer:

half the length of diameter

Step-by-step explanation:

.

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.

.

.

.

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.

PLEASE HELP MEEEEE




If 10 g of sugar is taken from 200 g of sugar water with 20% sugar content, how many g of sugar will remain?​

Answers

Answer:

30g of Sugar

Step-by-step explanation:

200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)

40g of sugar in the sugar water, 10 g taken. 40-10=30

Hope this helps!

:)

give the answer in cm^2


p.s the answer is not 66

Answers

Answer:

45 cm^2

Step-by-step explanation:

area of the figure

split the figure and form to figure rectangle and square

for rectangle

length = 6 cm + 3 cm

=9 cm

breadth = 4 cm

area of rectangle = l*b

=9 cm * 4 cm

=36 cm^2

for square

length =3 cm

area of square = (3 cm)^2

=9 cm^2

area of figure = area of rectangle + area of square

=36 cm^2 + 9 cm^2

=45 cm^2

Hey, I WANT A BESTIE PLEASE (imagine I put the lightskin face emoji)

Answers

Answer:

Heyy

Step-by-step explanation:

John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John’s total monthly budget?

Answers

Answer:

...

5 days ago — John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John's total monthly

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

sino pilipino dito may itatanong lang ako​

Answers

Can we be a friends

Tomorrow is his Birthday , so let's celebrate his Birthday

Answer:

ako HAHAHA may acc kaba sa brainly.ph

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Answers

Answer and explanation,

You’re welcome :)

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solve for x:D

Answers

Answer:

6×-27=-3×

+3×

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×=3

Subtract -5x2 + 10x – 1 from 6x2
X + 3.

Answers

Answer:

Can you add a screenshot of the equations? It's hard to figure it out in this format and I don't want to give you the wrong answer.

Step-by-step explanation:


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Answers

Answer:

they are similar by a scale of 3/2 or the big traingle is 1 and a half times bigger than the smaller triangle

Step-by-step explanation:

the scale is 3/2 because:

12/8 is 3/2

15/10 is 3/2

9/6 is 3/2

eu quero resposta de Química de verdadeiro ou falso​

Answers

neneekebekehekeffhdejhrr

Answer:

create a true or false chemistry question

Step-by-step explanation:

this is the translation

WILL GIVE BRANLIEST !!

A bag contains 7 red marbles, 8 blue marbles, and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be red?

Answers

Answer:

0.031

Step-by-step explanation:

The probability of the first marble being green is 7/20, the second marble, 6/19, and the third, 5/18.  

7/20 x 6/19 x 5/18=

0.03070175438

or rounded to

0.031

Hope this helps!

:)

which of the following graphs shows the solution to the system of equations?
y=5x-1
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Answers

Answer:

sorry,but there is no graph ...its difficutlt to say u the ans

Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

[tex]v=s^2h/2[/tex]

[tex]v=12.4(5)/3[/tex]

[tex]v=20.7~ft^3[/tex]

------------------------

hope it helps...

have a great day!!

The formula for the volume of a cone is .

Solve  for b, the base of the cone.

Answers

Answer is D.
V= 1/3bh
multiply both sides by 3 to eliminate the fraction
3V= bh
b = 3V under h > D
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