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[13 marks] (a) An object is subjected to the force F = 4x4 z ı ^ +...

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Physics

[13 marks]

(a) An object is subjected to the force F =4x4 z ı ^ + 4 z3k ^ N, wherex and z are in metres. The object can only move in thexz-plane.

          (i) Theobject moves from the origin by moving first along thex-axis to (a, 0) and then parallel to thez-axis to the point with coordinates (a,b). Howmuch work does the force do?

          (ii) Theobject moves from the origin by moving first along thez-axis to (0,b) and then parallel to thex-axis to the point with coordinates (a,b). Howmuch work does the force do?

          (iii) Isthis a conservative force?

          (iv) Canthis force be expressed as the gradient of a potential? If so, givean expression for the potential. If not, give reasons why.

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