A particle moving with kinetic energy K makes a head on elastic collision with an identical particle at rest. Find the maximum elastic potential energy of the system during collision.

Answer

B

Explanation

At maximum elastic potential energy, velocity of both particles is same. This common velocity will be given by
v=("Total momentum")/("Total mass")
`=(sqrt(2Km))/(2m)=sqrt((K)/(2m))`
`E_i=E_f`
`K=1/2xx2m(sqrt((K)/(2m))^2)+v_(max)`
`:. v_(max)=K/2`