A constant force vector F = (2,8) moves an object along a straight line from the point (2, 5) to the point (13, 10). Find the work done if the distance is measured in feet and the force is measured in pounds.

Answers

Answer 1

Answer:

Step-by-step explanation:

I will ASSUME that the force vector F = 2i + 8j

which has a magnitude of

F = √(2² + 8²) = √68

which has a direction of

θ = arctan (8/2) = 75.96°

The movement has a distance of

d = √((13 - 2)² + (10 - 5)²) = √146 ft

and a direction of

φ = arctan((10 - 5)/(13 - 2)) = 24.44³

the angle between force and motion is

75.96 - 24.44 = 51.52°

Work is the force in the direction of motion times the distance moved.

W = Fd = (√68)(cos51.52)(√146) = 62 J

or we could just break it into components

x direction work = Fd = 2(13 - 2) = 22 J

y direction work = Fd = 8(10 - 5) = 40 J

total work W = 22 + 40 = 62 J


Related Questions

please answer right ............................................

Answers

Answer:

4 Child tickets (I think...)

A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 2 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection? Round your answer to four decimal places.​

Answers

Answer:

ur a lightbulb head

Step-by-step explanation:

wnjrn jrnvef vjefvj efjvf vf vn fvfv fnv nf vnf vn fnv fn vnf vnf vnf nf nf vnf nf vn fnv nf vnf vnf vnf vnf vnf nv fnv nf vnf vnf vn fnv fnv nf vnv nf vnf vnf vnf vn

The sum of 2.25 and half a number is −4.

What is the number?

Enter your answer as a decimal in the box.

Answers

Answer:

K12 Answer

Step-by-step explanation:

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The sum of 2.25 and half a number is −4.

Let 'n' be the number. Then the equation is given as,

2.25 + n / 2 = −4

Simplify the equation, then we have

2.25 + n / 2 = −4

n / 2 = − 4 − 2.25

n / 2 = −6.25

n = −12.5

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

More about the solution of the equation link is given below.

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Number 5 am stuck pls help

Answers

Answer:

im going to be honest i havent done this since las year and so i dont remember the value of that line outside but i think its 70*

Step-by-step explanation:

reason is because the c is originally 180* but it has more of and angle so the angles obv increases and you can get the angle by multiplying 70*times 7x and divide by 3

i say 3 because of the amount of angles in a triangle and the line outside if i remember correctly is the "angles" of a triangle  and that would be your answer

George deposited $900 in an account that earns 5% annual compounded annually. How much
interest will the account earn after 3 years, if he makes no withdrawals or deposits?
A $63.05
B $80.00

Answers

Answer: A

Step-by-step explanation: Hope this helps :)

Name 4 fractions that are equivalent to 9/12. Show your work

Answers

Answer:

3/4

6/8

12/15

15/18

Step-by-step explanation:

Answer:

3/4, 18/24, 27/36, 36/48

Step-by-step explanation:

9 and 12 can both be divided by 3 to equal 3/4

9/12 times 2 is 18/24

9/12 times 3 is 27/36

9/12 times 4 is 36/48

hope this helps:)

THE IMAGE HAS ALL THE INFO

PLEASE DON’T SEND A LINK

Answers

Answer:

y =6x + 8

y =6(-3) +8

y= -18 + 8

y= -10

The measure of angle ABC is 160°.
The measure of angle ABD is 95°.
The measure of angle DBC is xº.
Find the value of x.

Answers

Answer:

65°

Step-by-step explanation:

160 - 95 = x

x = 65

Find x for brainiest

Answers

Answer:

x=36

Step-by-step explanation:

These angles added together equal 180 degrees

2x + 3x =180

5x = 180

x = 36

Answer:

x  = 36    

Step-by-step explanation:

2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180   5x = 180   180/5 = x      x  = 36    

Snow fell at a rate of ¾ of an inch/hour. How much snow fell in a period of 6 hours?

Answers

Answer:

4.5

Step-by-step explanation:

Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP ​

Answers

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

What are the domain and range of each relation? Drag the answer into the box to match each relation. A mapping diagram. Element x contains negative 2, negative 1, 0, and 2. Element y contains negative 4, negative 2, and 2. Negative 2 maps to negative 4. Negative 1 maps to negative 2 and 2. Zero maps to negative 4. Two maps to 2. x y −4 −2 −2 1 1 4 4 4

Answers

Answer:

Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

Step-by-step explanation:

simplify the fraction 90/100

Answers

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

which expressions is equivelent to 6h +18

Answers

You can reduce it with the greatest common factor, which is 6.

6h + 18

6(h + 3)

Answer:5x – 4y = 18 x + 3y = ...

Step-by-step explanation:

Which system is equivalent to the system shown and could be used to solve the system of equations correctly using the elimination method?

Solve for x by writing the equation in exponential form.
log(3x − 7) = 2

Answers

Step-by-step explanation:

log_10( 3x -7) =2

10² = 3x - 7

100 = 3x -7

3x = 107

x = 107/3

Answer:

Refer to the attachment!

i didn't mean to choose an answer

Answers

Answer:

50

Step-by-step explanation:

Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50

Answer:

V=1/3 * L *W *H

V= 1/3 *5* 3 *10

V=1/3 *150

V= 50 m2

Step-by-step explanation:

your answer

Find (f•f)(3)

f(x)=x^-x

Answers

Answer:

approximately 1.13

Step-by-step explanation:

[tex](f \circ f) = f(f(3))[/tex]

Working from the inside...

[tex]f(3) = 3^{-3} =\frac{1}{3^3} = \frac{1}{27}[/tex]

Now put this result back into  f  again.

[tex]f(\frac{1}{27})=\left(\frac{1}{27}\right)^\frac{1}{27}[/tex]

Use a calculator to approximate this; the result is 1.13.

Note:  an "exact" answer is [tex]\frac{1}{\sqrt[27]{\frac{1}{27}}}[/tex].

Expand 4x(7x-11)
For maths
Help please

Answers

here is the answer please mark me bainliest

The expand form will be;

⇒ 28x² - 44x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4x (7x - 11)

Now,

Solve the expression as;

⇒ 4x (7x - 11)

⇒ 4x × 7x - 4x × 11

⇒ 28x² - 44x

Thus, The expand form will be;

⇒ 28x² - 44x

Learn more about the mathematical expression visit:

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Plssssssssssssssssss slove I don't know how to solve this

Answers

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

Evaluate 3m + p if m = 2 and p = 4.

Answers

>> Answer

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

Hi! Can anyone help please, I have been trying this problem for the past hour and I got slope-intercept equation like this but I don't know what to do y=1/2x+5

The graph of a function g is shown below. Find the following:

g(10)

Answers

Answer: 8

Step-by-step explanation:

A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8

Yes you found it correct as per slope intercect form y=mx+b

Here

y=1/2x+5

Slope=m=1/2

Y intercect=5

Now.

for g(10)

The coordinate is (10,8)

So

g(10)=8

Plz help I need help

Answers

♪Answer : 9(2 + 5m) = 9(2) + 9(5m)= 18 + 45m

⏩Option (D.)

Solve this for brainless and points please and thanks

Answers

Graphing: Top left corner (2,-2)
Goes straight down through the bottom right corner (1,-4)
Have a great day/night

[tex]\\ \sf\Rrightarrow 2x+y=-2[/tex]

Isolate y

[tex]\\ \sf\Rrightarrow y=-2x-2[/tex]

m=-2b=-2

Graph attached

1) Which graph represents the equation y = 1/2x + 3
Plz help

Answers

Answer:

c

Step-by-step explanation:

USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed
of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave
William a 150-foot head start and the race ended in a tie.
How far away was the finish line from where Olivia started

Answers

Answer:

Step-by-step explanation:

The distance from where Olivia started to the finish line is 600 foot

How determine how far away was the finish line from where Olivia started?

A model function is a way of describing a real-life system or situation using mathematical concepts and language

If Olivia rode at a speed of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave William a 150-foot head start.

We can write write a linear model function for both Olivia and William as follows:

Olivia: y = 20x

William: y = 15x + 150

where y is the distance and x is the time taken to reach finish line

Since the race ended in a tie (i.e. draw), we can equate the two functions:

20x = 15x + 150

20x -15x = 150

5x = 150

x = 150/5

x = 30 seconds

Thus, the distance from the finish line to where Olivia started can be determined by substituting x = 30 into y = 20x. That is:

y = 20(30) = 600 foot

Learn more about model function on:

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You can kayak around Hamilton island in 3 hours. Kayaking together, you and your friend can kayak around the island in 1.4 hours. Let t be the time (in minutes) your friend would take to kayak around the island alone. Write and solve an equation to find t.

Answers

Answer:

1 / 180 + 1 / t = 1/84

t = 157.5 minutes

Step-by-step explanation:

3hrs = 180 minutes

1.4 hours = 84 minutes

your rate + friend's rate = rate together

1 lap in 180 min + 1 lap in t min = 1 lap in 84 min

The equation is

1 / 180 + 1 / t = 1/84

subtract 1/180 from both sides

1/t = 1/84 - 1/180

1/t = 0.006349206349

multiply both sides by t

1 = 0.006349206349t

Divide both sides by 0.006349206349

1 / 0.006349206349 = t

157.5 = t

t = 157.5 minutes

Write 7.085 x 10^6 in decimal form

Answers

Answer:

Step-by-step explanation:

To make this easier:

10^6 is a million.

7.085 a million times is what we are looking for.

So our answer is 7.085 million = 7,085,000

Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.

Answers

Sorry i cant answer this way too hard for me

A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.
ـ Don't Spam➠ ​

Answers

Step-by-step explanation:

Given

A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.

[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]

To Find

Height Of Embankment?

Solution

Explaination

Attachment

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!

Answers

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

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