Engineering, 21.02.2020 03:39 milkshakegrande101
Two automobiles A and B, of mass mA and mB, respectively are traveling in opposite directions when they collide head on. The impact is assumed to be perfectly plastic, and it is assumed that the energy absorbed by each vehicle is equal to its loss of kinetic energy with respect to the moving frame of reference attached to the mass center of the two-vehicle system. Denoting EA and EB, respectively, the energy absorbed by automobile A and by automobile B.
a. Show that that is, the amount of energy absorbed by each vehicle is inversely proportional to its mass.
b. Compute EA and EB, knowing that ma = 1600 kg and mg = 900 kg and that the speeds of A and B are, respectively, 90 km/h and 60 km/h.
Answers: 1
![K.E_{A/G}=\frac{1}{2}m_Av_{A/G}^2\\K.E_{A/G}=\frac{1}{2}[m_A\frac{m_Bv_B+m_Bv_A}{m_A+m_B}]^2\\K.E_{A/G}=\frac{1}{2}\frac{m_Am_B^2(v_A+v_B)^2}{(m_A+m_B)^2}](/tpl/images/0518/7323/5ceeb.png)
![K.E_{B/G}=\frac{1}{2}m_Bv_{B/G}^2\\K.E_{B/G}=\frac{1}{2}[m_B\frac{m_Av_B+m_Av_A}{m_A+m_B}]^2\\K.E_{B/G}=\frac{1}{2}\frac{m_Bm_A^2(v_A+v_B)^2}{(m_A+m_B)^2}](/tpl/images/0518/7323/cbfed.png)
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Two automobiles A and B, of mass mA and mB, respectively are traveling in opposite directions when t...
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