Since it's against good conscience, I will not directly tell you how Newtonian mechanics relates to one's favorite amusement park ride, but I can still assist. Think about the very last ride you were on. There are always Newtonian forces acting on you, but even more-so at the amusement park. Anything dealing with the 'forces' of gravity or centrifugal force will do, and these are seen throughout just about every ride fathomable in a park.