The velocity of object moving forward=2.34+xm/s^2
The velocity of object moving backward=2.34-xm/s^2
The converging energy is
1/2mv^2+12J=1/2(m/2)(v1)^2+1/2(m/2)(v2)^2
1/2mv^2+12J=1/2(m/2)(2.34+x)^2+1/2(m/2)(2.34-x)^2
1/2m(2.34)^2+12j=1/2(m/2)((2.34)^2+x^2+2(2.34)(x))+1/2(m/2)((2.34)^2+x^2-2(2.34)(x))
1/2m(2.34)^2+12J=1/2m(2.34)^2+1/2mx^2
1/2mx^2=12J
X=root((12*2)/m)
X= root((12*2)/7.8)=1.753m/s
The velocity of the first body=2.34+xm/s^2
=2.34+1.753m/s
=4.093m/s
Acceleration is v=u+at
                   Â
4.093=(2.34)+a(0.16)
                   Â
a=4.093-2.34/0.16
a front x =10.95m/s^2
The velocity of the second body =2.34-xm/s^2
=2.34-1.753m/s^2
=0.587m/s
Acceleration=v-u/t=0.587-2.34/0.16
a rear x =-10.95m/s^2
(a front, a rear)=(10.95, -10.95)
