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Chapter 9: Q. 26 (page 612)

Computing Work A wagon is pulled horizontally by exerting a force of 20pounds on the handle at an angle of 30鈭�with the horizontal. How much work is done in moving the wagon 100feet?

Short Answer

Expert verified

The work done in moving the wagon100feet islocalid="1646834346812" 10003foot-pounds.

Step by step solution

01

Step 1. Given Information 

The wagon is moved from 0,0to100,0.

The force of 20pounds exerted horizontally on the handle at an angle of 30鈭�.

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, the wagon is moved from point A0,0toB100,0.

So, AB鈫�=100i

The force vector F,

localid="1646810758250" F=20cos30鈭�i+sin30鈭�jF=2032i+12jF=103i+j

By using the formula of work done

W=F路AB鈫�W=103i+j路100iW=10003foot-pounds

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