1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jek_recluse [69]
3 years ago
7

A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done

in moving the object from x = 1 ft to x = 10 ft. (Round your answer to two decimal places.)
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

Answer:

2.70J.

Step-by-step explanation:

We have been given that a variable force of 3x^{-2} pounds moves an object along a straight line when it is x feet from the origin.  We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

We know that dW=Fdx, where F represents force.

dW=3x^{-2}dx

Now, we will integrate both sides of equation as:

\int\limits{dw} =\int\limits^{10}_1 {3x^{-2} \, dx

Take the constant out:

\int\limits{1dw} =3\int\limits^{10}_1 {x^{-2} \, dx

w =3\int\limits^{10}_1 {x^{-2} \, dx

Upon applying power rule of integrals, we will get:

w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1

w =3[ \frac{x^{-1}}{-1} ]^{10}_1

w =3[ -\frac{1}{x} ]^{10}_1

w =3[ -\frac{1}{10} -(-\frac{1}{1})]

w =3[ -\frac{1}{10}+\frac{10}{10})]

w =3[\frac{9}{10}]

w=2.70

Therefore, the work done by the object is 2.70J.

You might be interested in
GEOMETRY PROOFS!
yarga [219]

From the given figure ,

RECA is a quadrilateral

RC divides it into two parts

From the triangles , ∆REC and ∆RAC

RE = RA (Given)

angle CRE = angle CRA (Given)

RC = RC (Common side)

Therefore, ∆REC is Congruent to ∆RAC

∆REC =~ ∆RAC by SAS Property

⇛CE = CA (Congruent parts in a congruent triangles)

Hence , Proved

<em>Additional</em><em> comment</em><em>:</em><em>-</em>

SAS property:-

"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)

<u>also</u><u> </u><u>read</u><u> </u><u>similar</u><u> questions</u><u>:</u> Complete this proof. Given: EC AC, DB AC, ∠A = ∠F Prove: ΔMDF ∼ ΔNCA..

brainly.com/question/16250124?referrer

Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...

brainly.com/question/11763540?referrer

4 0
2 years ago
Read 2 more answers
Purchased additional office equipment by cheque from Jaya RM 6000 .which is debit and credit​
viktelen [127]

Answer:

6000RM=RP10000000000

7 0
3 years ago
Help please ill give Brainliest
nataly862011 [7]
It’s E :) it’s up 20 characters
5 0
2 years ago
S: 12b - 3 = 106 + 9​
Sedaia [141]
I got 9.8 but if you want to round it you get 10 because you add 106 and 9 to get 115 and then add 3 and get 118 and then divide 12b and 118 and get 9.8
4 0
3 years ago
Which of the following rules could represent the function shown in the table?
MariettaO [177]

Answer:

f(x) = 2x+1​

Step-by-step explanation:

Equation in slope intercept form y = mx + b where m = slope b = y-intercept

To find slope ,

m = (y2-y1)/(x2 - x1)

m = (3 - 1) / (1 - 0)

m = 32/1

m = 2

y-intercept b = 1

In this case y = 2x + 1 or f(x) = 2x+1​

6 0
3 years ago
Other questions:
  • the sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the nu
    10·1 answer
  • Plz Help
    13·1 answer
  • How do you know w/o calculator? PLZZZZZ HELPPPPPPPPPp
    15·1 answer
  • Factor completely : 100 z^2-16y^2
    12·1 answer
  • Which number could Bronson have written ?
    15·1 answer
  • Solve the inequality |4x+2|&lt;26
    8·1 answer
  • Write an equation and solve: At Trader Joes, Mrs.
    8·1 answer
  • Anyone want to help out my sister with this question?
    12·2 answers
  • 23. Which set of values represents the domain of th
    5·1 answer
  • Bryson sent 3,809 text messsages in June. In July, he sent 3,115.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!