A block of mass 
is connected to another block of mass 
by a mass less spring of force constant 
. The blocks are kept on smooth horizontal surface and are at rest with the spring un stretched. If a constant horizontal force 
starts acting on 
to pull it, find maximum extension in the spring.
Text Solution
Verified by ExpertsC
Let us solve this in centre of mass frame. Acceleration of centre of mass of the system 
. Blocks experience pseudo forces 
and 
respectively in CM frame. Let 
and 
be the displacements of 
and 
in C.M frame and 
be the maximum extension in the spring.
(Negative sign indicates that the displacements are in opposite directions)
Net work done by all force is 
.
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