Asked by Anonymous
A railroad freight car of mass 3.30 104 kg collides with a stationary caboose car. They couple together, and 16.0% of the initial kinetic energy is transferred to thermal energy, sound vibrations, and so on. Find the mass of the caboose.
Answers
Answered by
bobpursley
Law of momentum applies:
Mf*Vi=(Mf+Mc)Vf and given is mass Mf.
Law of eneryg applies
1/2 Mf(Vi)^2*.84=1/2(Mf+Mc)Vf^2
In equation 1), solve for Vf
Vf=vi(Mf)/(Mf+Mc)
Put that in to the second equation.
1/2 Mf(vi)^2(.84)=1/2 (Mf+Mc)(vi*Mf/(Mf+Mc))^2
.84=Mf/(Mf+mc)
and solve for mc.
Mf*Vi=(Mf+Mc)Vf and given is mass Mf.
Law of eneryg applies
1/2 Mf(Vi)^2*.84=1/2(Mf+Mc)Vf^2
In equation 1), solve for Vf
Vf=vi(Mf)/(Mf+Mc)
Put that in to the second equation.
1/2 Mf(vi)^2(.84)=1/2 (Mf+Mc)(vi*Mf/(Mf+Mc))^2
.84=Mf/(Mf+mc)
and solve for mc.
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