Use rₒ=2.869×10¹0 m and ɛₒ /kɞ 10.22 k for He to calculate and plot the Lennard Jones potential. Set one molecule at a fixed (pinned) position on the x-axis, say at x=5 nm. The other molecule starts at the origin with an initial velocity vₒ= vₒ (xcosʙ+ȳsinʙ), where ʙ is a small angle between vₒ and the x-axis. Develop a computer program to calculate the trajectory of the moving particle in the x-y plane, for various vₒ and ʙ, based on (a) the rigid-elastic-sphere assumption and (b) the intermolecular force field. Comment on the differences between the results obtained from the two models.