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Chapter 9: Q. 25 (page 612)

Computing Work Find the work done by a force of 3pounds acting in the direction 60鈭�to the horizontal in moving an object 6feet from 0,0to6,0.

Short Answer

Expert verified

The work done is 18foot-pounds.

Step by step solution

01

Step 1. Given Information

The object is moving from 0,0to6,0.

The force of 3pounds acting in the direction of 60鈭�to the horizontal in a moving object.

We have to find the work done.

02

Step 2. Finding the work done

To find the work done we will use the formula W=F路AB鈫�.

Now, it is given that the object is moving from 0,0to6,0.

So,

role="math" localid="1646809142665" A=0,0andB=6,0AB鈫�=6i

Now, the force vector F,

F=3cos60鈭�i+sin60鈭�jF=312i+32jF=32i+3j

By using the formula of work done

W=F路AB鈫�W=3i+3j路6iW=18foot-pounds

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