Find the work done when a forceF=(x2 - y2 + 2x){ - (2xy + y)j moves a particle in the xy-plane from (0,0) to(1.1) along the parabola y2 = x.
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Step-by-step explanation:
Work done along ABC
=
0,0
∫
1,0
(x
2
y
2
i
^
−x
2
y
2
j
^
)dx+
1,0
∫
1,1
(x
2
y
2
i
^
−x
2
y
2
j
^
)dy
=0+0
Work done along ADC
=
0,0
∫
0,1
(x
2
y
2
i
^
−x
2
y
2
j
^
)dy+
0,1
∫
1,1
(x
2
y
2
i
^
−x
2
y
2
j
^
)dx
=0+0
Work done along AC
=
0,0
∫
1,1
(x
2
y
2
i
^
−x
2
y
2
j
^
)dxdy
=0
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