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Q.

Find the work done (in Joule) by a force, F¯=[(y2−x3+5z2)i^+(3xy−2z)j^+(3z)k^]  newton  in taking a particle from origin O to the point ‘B’ (4m, 6m, 0) along the path OAB as  shown in the figure

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a

64

b

256

c

216

d

152

answer is D.

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Detailed Solution

ΔW=∫(OA)F¯.dr¯+∫(AB)F¯.dr¯ ΔW=−∫04x3dx+∫0612ydy ΔW=152 J

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