Two identical blocks of mass `m`, each are connected by a spring as shownin the figure. At any instant of time `t=0`, one block is given a velocity `v_(1)` and other is given a velocity `v_(2)(v_(1)gtv_(2))` in the same direction simultaneously as shown in the figure. Find the maximum energy stored in the spring.

Answer

`(1)/(4)m(v_(1)-v_(2))^(2)`

Explanation

`(1)/(4)muv_(rel)^(2)=(1)/(2)kx_(max)^(2)=U_(max)`
`rArrU_(max)=(1)/(2)(((m)(m))/(m+m))(v_(2)-v_(1))^(2)=(1)/(4)m(v_(1)-v_(2))^(2)`