Given the force field F=(2x- y+z)î+(x+y-zrj+(3x-2y +4z)k . 2.1 Is the force field a conservative field? Validate your answer with a calculation. 2.2 Is it possible to find a continuously differentiable scalar field V (potential energy function) such that F=-VV. Explain your answer. 2.3 Find the work done by F in moving a particle once around a circle C in the XY-plane, if the circle has centre at the origin and the radius 5.
Given the force field F=(2x- y+z)î+(x+y-zrj+(3x-2y +4z)k . 2.1 Is the force field a conservative field? Validate your answer with a calculation. 2.2 Is it possible to find a continuously differentiable scalar field V (potential energy function) such that F=-VV. Explain your answer. 2.3 Find the work done by F in moving a particle once around a circle C in the XY-plane, if the circle has centre at the origin and the radius 5.
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Transcribed Image Text:Given the force field F=(2x-y+z)î+(x+y-zj+(3x-2y +4z)k -
2.1 Is the force field a conservative field? Validate your answer with a calculation.
2.2 Is it possible to find a continuously differentiable scalar field V (potential energy function) such that
F=-VV. Explain your answer.
2.3 Find the work done by F in moving a particle once around a circle C in the XY-plane, if the circle has
centre at the origin and the radius 5.
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