A block moves with a certain speed and collides with another identical block kept at rest . There is maximum possible loss of kinetic energy in this collision . Find the ratio initial kinetic energy of the sustem to that with final kinetic enegy of the system .

Answer

B

Explanation

Let m be the mass of each block and velocity of the moving ball is u before energy hence collision must be parfectly inelastic . It means both the blocks will move eith common velocity after collision must move the with common velocity after collision . Let the both the balls move with common velocity v after the collision . We can apply conservation of linear momentum .
`"mu"= (m+m)v`
`rArr " " v = u/2 `
Kinetic energy before collision , `K_(1) =1/2 "mu"^(2)`
Kinetic energy after collision `K_(2) =1/2 (2m) (u/2)^(2) 1/4 "mu"^(2)`