A body of mass m1 , moving with velocity u1 collides head on with a body of mass m2 moving with a velocity u2 the two bodies stick together after the collision the loss of kinetic energy after the collision is ?
Ans) Initial KE of the system= 1/2 [ m1.u1^2 + m2.u2^2 ]
applying conservation of momentum we get new velocity of the new body= (m1.u1-m2.u2) / (m1+m2)
new KE of the Body= [ (m1.u.1 - m2.u2) / 2.(m1+m2) ]^2
Subtracting and simplyfing we get the loss in KE after Collision= [ m1.m2. (u1 + u2)^2 ] / [ 2.(m1 + m2) ]