A particle with mass m is acted on by a conservative force and moves along a path given by x = xo cos w0t and y = yosinwot, where x, yo, and wo are constants. (a) Find the components of the force that acts on the particle. (b) Find the potential energy of the particle as a function of x and y. Take U = 0 when x = 0 and y = O. (c) Find the total energy of the particle when (i) x = Xo, y = o and (ii) x = Oy = Yo.