Physics - Center of Mass Question with Solution | TestHub

James skied down a snowy slope (frictionless) in an attempt to escape from the killer. Their speeds are 40 m/s and 45 m/s respectively. James noted that he and the killer carried the same kind of rifle and estimated that their masses M (including body mass, skis, weapon, backpack, etc) were about the same. James realized that each time he fired his weapon back at the killer, his momentum would change; whereas when the killer fired, the killer's momentum would also change. Every time James fired a bullet, the killer would fire back accordingly. Assume that all bullets missed their targets. Given$\mathrm{M}=100\mathrm{kg}$, mass and the muzzle velocity of a bullet are $\mathrm{m}=0.02$ kg and $\mathrm{v}=500\mathrm{m}/\mathrm{s}$ respectively. If the number of bullets James had to fire in order to assure that the killer couldn't catch up with him is 5x then find the value of x.