In the previous episodes we've seen how time, space and uniform motion can emerge from ratios of mechanical quantities with specific relative dimensions. In this fifth video we will generalize and consider the interplay of any pair of mechanical quantities, producing more complex spatio-temporal relationships. For instance we will discuss explosions, where the energy of a bomb is faced by the density of the ambient medium, leading to a blast radius growing proportionally to time to the power 2/5. We will stress that this seemingly strange exponent is not fundamentally weirder than a distance increasing like the square of time for free falls. Since Newton, the concepts of force and inertia have been generalized to include a variety of impelling and impeding factors, which can be drawn from the table of mechanical quantities. Motions of all sorts can emerge from the struggle between competing mechanical factors.