A variable force of 9x−29x−2 pounds moves an object along a straight line when it is xx feet from the origin. Calculate the work done in moving the object from x=1ft, to, x=19ft. (Round your answer to two decimal places.)

vestirme4

vestirme4

Answered question

2021-03-11

A variable force of 9x29x2 pounds moves an object along a straight line when it is xx feet from the origin. Calculate the work done in moving the object from x=1ft,,x=19ft. (Round your answer to two decimal places.)

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-03-12Added 109 answers

Remember that work along a straight line is defined as
W=[x0,x1]Fdx
Substituting in our expressions, we thus find that
W=119(9x2)dx
=1199xdx1192dx
=9119xdx2119dx
=9[12x2][1,19]2[x][1,19]
=9[12(19)212)(1)2]2[191]=1584ft×lb

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?