A 2kg ball moving at 6 ms collides head on with a 3kg ball moving in the oppositedirection at12 m/s. The velocity of each ballafter the impact, if the coefficient ofrestitution is 1/2, is(A) -10.2m/s; – 1.2 m/s(B) –10 m/s; – 2 m/s(C) 10 m/s; 14 m/s(D) 10.2m/s, - 2 m/s

A 2kg ball moving at 6 ms collides head on with a 3kg ball moving in

1.	A 2kg ball moving at 6 ms collides head on with a 3kg ball moving in the oppositedirection at12 m/s. The velocity of each ballafter the impact, if the coefficient ofrestitution is 1/2, is(A) -10.2m/s; – 1.2 m/s(B) –10 m/s; – 2 m/s(C) 10 m/s; 14 m/s(D) 10.2m/s, - 2 m/s
Answer» Let initial velocities of 1kg ball and 2kg ball be U 1 ,u 2 respectively and final velocities be v 1 ,v 2 respectively .By conservation of linear momentum , 1×u 1 +2×u 2 =1×v 1 +2×v 2 u 1 =12m/s,u 2 =−14m/s v 1 +2v 2 =−16Coefficient of restitution e= 32 e= u 2 −u 1 v 2 −v 1 = 32 3v 1 −3v 2 =52Solving these equations, v 1 = 956 ,v 2 =− 9100 LOSS of kinetic energy δK= 21 [u 12 +2u 22 −v 12 −2v 22 ]=125JOption B is closest. EXPLANATION:please MARK me brainlist