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Final velocities of two bodies after elastic collision

Chapter: Work Energy Power : Find the expression of the final velocities of two bodies after the elastic collision :: When a body A of mass m1 moving with a velocity u1 will collide with another body B of mass m2 moving with a velocity u2 along the same straight line , the linear momentum remains conserved in the elastic collsion. Hence, m1u1+m2u2 = m1v1+m2v2 ; Also, the kinetic energy of the system remains constant. ∴ (1/2)m1(u1)^2+(1/2)m2(u2)^2 = (1/2)m1(v1)^2+(1/2)m2(v2)^2 .... Hence, u1-u2 = v2-v1; ∴ v1 = [(m1-m2)/(m1+m2)]u1+[2m2/(m1+m2)]u2 & v2 = [(2m1)/(m1+m2)]u1+[(m2-m1)/(m1+m2)]u2 .... *** More Videos: Click on    • Prove that the Potential Energy of a ...