I\'m not sure, but I kept getting this wrong. A father racing his son has one-th

Question

I'm not sure, but I kept getting this wrong. A father racing his son has one-third the kinetic energy of the son, whohas three-fifths the mass of thefather. The father speeds up by 2.5 m/s and then has the same kinetic energy asthe son. 1. What was the original speedof the father? 2. what was the original speedof the son?

A father racing his son has one-third the kinetic energy of the son, whohas three-fifths the mass of thefather. The father speeds up by 2.5 m/s and then has the same kinetic energy asthe son. 1. What was the original speedof the father? 2. what was the original speedof the son?

Explanation / Answer

if KF = Ks / 3     MfVf^2 / 2 = MsVs^2/ 6      MfVf^2 = MsVs^2 given Mf = 5Ms/3         5Vf^2/3 = Vs^2 / 6          Vf =(3/5) [ Vs/6]            Vs=  [6Vf/(3/5)]            Vs=  [6Vf/(3/5)] if Vf =Vs+2.5m/s         Kf = Ks      (5/3)(Vs+2.5)^2 = Vs^2            Vs =(Vf+2.5)(3/5) frm abv two relations we cansolve for actual speed of the son and fatehr Vs andVf frm abv two relations we cansolve for actual speed of the son and fatehr Vs andVf         (5/3)(Vs+2.5)^2 = Vs^2 .

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