3. (a) A particle moves along a circle x? + y? = R? in the xy-plane. Suppose that a force measured in newtonsF = -y i +x j acts the particle with distances in meters. Show that the force is not conservative byconsidering work as an integral (i.e. show that work 0.) (b) The force acting on a particle moving along thex-axis is given by the formula F= 5/x4i. Find the corresponding potential energy. Assume that U(x) = 0 forx = ∞. (c) Determine stability and discuss possible turning points.

Given: The force vector is given as F→ = -y i^ + x j^ The force acts on the particle moving along…

Answered: 3. (a) A particle moves along a circle…

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