Aparticle of mass 0.1 kg moving with an initial speed v collides with another particle of same mass kept at rest. If after collision total energy becmes 0.2 j, then the minimum and maximum values of .v. are

Aparticle of mass 0.1 kg moving with an initial speed v collides with

1.	Aparticle of mass 0.1 kg moving with an initial speed v collides with another particle of same mass kept at rest. If after collision total energy becmes 0.2 j, then the minimum and maximum values of .v. are
Answer» Solution :In case of perfectlycollision the velocity of COMBINED mass will be V/2 `thereforeKE= (1)/(2)(2m) ((v^(2))/(4))` `i.e.,(0.2)=(1)/(2)(0.2)((v^(2))/(4))rArrv=2sqrt(2)m//s` In case of perfectly elastic collision, FIRST particle stops and the second acquires the same velocity v `KE = (1)/(2)mv^(2)i.e, 0.2 (1)/(2)(0.1)v^(2)rArrv=2m//s` Therefore, minimum value of v is 2 m/s in case of perfectly elastic collision and maximum VALUEOF v is `2sqrt(2)` m/sin case of perfectly inelastic collision.