Question #106336

A mass breaks suddenly into two parts, masses M and m, with speeds V and v respectively and carrying a total kinetic energy K. If (M/m) = R = 4.2 what fractions of KK does each of the masses carry? (Think about significant figures.)

Expert's answer

From the conservation of momentum:

"K=0.5mv ^\n2\n +0.5Rm\\frac{v^2}{R^2}=0.5mv ^2\\left(1+\\frac{1}{R}\\right)"

"K_m=\\frac{1}{(1+\\frac{1}{R})}K=\\frac{1}{(1+\\frac{1}{4.2})}K=0.81K"

"K_M=K-K_m=(1-0.81)K=0.19K"

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