A particle of mass m = 1 kg is free to move along x axis under influence of a conservative force. The potential energy function for the particle is `U=a[(x/b)^(4)-5(x/b)^(2)]` joule
Where b = 1.0 m and a = 1.0 J. If the total mechanical energy of the particle is zero, find the co-ordinates where we can expect to find the particle and also calculate the maximum speed of the particle.

Answer

`-sqrt(5) le x le sqrt(5) ; v_(max) =5//sqrt(2) ms^(-1)`