Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k. The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1). Initially spring is relaxed, both the blocks are at rest. What is maximum elongation of spring.

Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit,

1.	Two blocks of masses m_(1) and m_(2) are connected by an ideal sprit, of force constant k. The blocks are placed on smooth horizontal surface. A horizontal force F acts on the block m_(1). Initially spring is relaxed, both the blocks are at rest. What is maximum elongation of spring.
Answer» `(2m_(1)F)/((m_(1)+m_(2))k)` `(m_(1)^(2)F)/(2(m_(1)+m_(2))k)` `(2m_(2)F)/(k(m_(1)+m_(2)))` `(m_(2)^(2)F)/(2(m_(1)+m_(2))^(2)k` SOLUTION : `x_(1)+x_(2)=x` ………..i `(F-m_(1)a_(cm))x_(1)+m_(2)a_(cm).x_(2)-1/2kx^(2)=0`…….ii where `a_(cm)=F/(m_(1)+m_(2))`………….iii SOLVE get answer.