b How muchenergy is transformed into internal energy in thec


(b) How muchenergy is transformed into internal energy in thecollision?

Solution

        Given that the massof car is m = 2.45*104 kg
        Initial speed is u1= 3.97 m/s
        Initial speed ofother cars is u2 = 1.99m/s
        Final speed isv
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         From theconservation of momentum , momentum before collision is equal tothe momentum after collison
                            m*u1 + 3m*u2 = ( m + 3m )v
                                                 v = ( m*u1 + 3m*u2 ) / ( m + 3m )  
                                                     =  (u1 + 3*u2 ) / ( 4)      
                                                     =2.485 m/s
        Theenergy lossed during collision is K =(1/2)m*u12 +(1/2)3m*u22 -(1/2)4m*v2  
                                                                     =---------- J
  

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