In the simplest approximation, an explosion is a shock wave moving out from some locus. The shock wave may be a compression front in a ambient medium, or may be a wave of gas propagating from the explosive into a vacuum.
So that's the first thing you need to tell us: in air, water, vacuum, or what?
When the shock wave arrives at some material thing, it is the pressure exerted by the shock wave that transfers momentum (i.e. applies a force) to the target. The target object then accelerates as per Newton's law:
In the simplest approximation, an explosion is a shock wave moving out from some locus. The shock wave may be a compression front in a ambient medium, or may be a wave of gas propagating from the explosive into a vacuum.
So that's the first thing you need to tell us: in air, water, vacuum, or what?
When the shock wave arrives at some material thing, it is the pressure exerted by the shock wave that transfers momentum (i.e. applies a force) to the target. The target object then accelerates as per Newton's law:
F=ma . F→=ma→.