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

[13 marks]

(a) An object is subjected to the force F = 4x⁴ z ı ^ + 4 z³^{k ^} N, where x and z are in metres. The object can only move in the xz-plane.

(i) The object moves from the origin by moving first along the x-axis to (a, 0) and then parallel to the z-axis to the point with coordinates (a,b). How much work does the force do?

(ii) The object moves from the origin by moving first along the z-axis to (0,b) and then parallel to the x-axis to the point with coordinates (a,b). How much work does the force do?

(iii) Is this a conservative force?

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

Expert Solution

genius_generous answered 2 years ago

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