In a two dimensional space the potential energy function for a conservative force acting on a particle of mass m = 0.1 kg is given by U = 2 (x + y) joule (x and y are in m). The particle is being moved on a circular path at a constant speed of `V = 1 ms ^(-1)`. The equation of the circular path is `x^2 + y^2 = 42`. (a) Find the net external force (other than the conservative force) that must be acting on the particle when the particle is at (0, 4). (b) Calculate the work done by the external force in moving the particle from (4, 0) to (0, 4).

Answer

(a) `(2hati+1.975 hatj)N`
(b) zero