FYKOS Year 31 Series 3 Problem 3 — IDKFA · FYKOS 31 #31.3.3
Physics · mechanics · thermodynamics
Problem
You fired at Imp from your plasma gun which shoots a cluster of particles with uniform velocity distribution in interval ⟨v0,v0+δv⟩ (all of the particles are moving in one line, there is no transverse velocity). The total kinetic energy of the cluster is E0. The barrel rifle has a cross cestion of S and the pulse takes an infinitely short time. How far does Imp need to stand to be safe. Assume that his skin is able to cool the heat flow of q.