A ball A of mass m moving along positive x -direction with kinetic energy K and momentum p undergoes elastic head on collision with a stationary ball B of mass M after collision the ball A moves along negative x -direction with kinetic energy K 9 , final momentum of B is

Step-by-step solution

Kinetic energy gathered K= 1 2 m u₁^2 u₁= 2 K m 1 2 m v₁^2= K 9 v₁^2= 2 K 9 m Velocity, v₁= 2 K 9 m gathered Kinetic energy K= p^2 2 m From conservation of the momentum aligned m u₁ & =-m v₁+p_B m (u₁+v₁ ) & =p_B aligned Final momentum of B aligned p_B & =m [ 2 K m + 2 K 9 m ] & = 2 m K + 2 m K 3 =p+ p 3 = 4 p 3 aligned