**Unformatted text preview: **CONSERVATION OF ENERGY
'CtivPhysiCS can help with these Problems: ji.u Activities in Section 5, Work and Energy
0$ y::;: e, followed by dr=idx for y = i and 0$ x:$ and (b) dr=idx+jdy=(i+j)dy, for 0 :$ y :$ e (since x = y along this path). The work done by gravity (Equation 7-11) is e, wJa}
Determine the work done by the frictional force in < moving a block of mass m from point 1 to point 2 .... the two paths shown in Fig. 8-26. The over ...........coefficient friction has the constant value p, over of the surface. (The diagram lies in a horizontal ......plane.) = / F 9 dr = -mg = 1; l 1
i. (-mgj). j dy + 1
l (-mgj). i dx i dy +0= -mge, and ? . WJb) = ( -mgj) (i+ j)dy = -mg dy = -mgt. ~ ~
. r l i.....
I I / r (a) I' r---I
I I I ' .--- I 2 ..
" Of course, these must be the same because gravity is a conservative force. " .- "
"...(b) /
" .' Problem
3. The force in Fig. 8~22a is given by F = Foj, where Fo is a'constant. The force in Fig. 8-22bis given by F= Fo(x/a)j, where the origin is taken at the lower left corner of the box, a is the width of the square box, and the distance x increases horizontally to the right....

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