P mvP(16 lbm) 22ftsecP 352ftlbmsecF maa(v v_{o})(t t_{o})F mv v_{o}t t_{o}F mvmv_{o}tt_{o}FPP_{o}tt_{o}FPtMOMENTUM PRINCIPLESForce and MotionCP-03Page 6Rev. 0Solution:ForceandMomentumThere is a direct relationship between force and momentum. The rate at which momentumchanges with time is equal to the net force applied to an object. This relationship comes directlyfrom Newton's second law of motion, F = ma. This is a special case of Newton's second law fora constant force which gives rise to a constant acceleration. The linking fact is that accelerationis the rate at which velocity changes with time. Therefore, we can determine the following:We know that, and since, then, (3-4)which can also be written, (3-5)Substituting P for mv and P for mv , o oor (3-6)From Equation 3-6, we can determine that force (F) is equal to the change in momentum pertime.

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