Consider the situation of the previous problem. Suppose each of the blocks is pulled by a constant force F instead of any impulse. Find the maximum elongation that the spring will suffer and the distances moved by the two blocks in the process.
Two blocks of mass m1 and m2 are attached with a spring.
When both the blocks moves are pulled by some force, they suddenly move with acceleration and instantaneously stops at same position where the elongation of the spring will be maximum.
Let x1 and x2 be extension due the blocks of mass m1 and m2.
Spring constant is k.
Total work done (W) will be
___________ (1)
Increase in potential energy (P.E) of the spring will be
__________ (2)
From equation (1) and (2)
_________ (3)
Since the net external force on the blocks is zero, thus same force acts on opposite direction.
Putting the value in equation (3) we get
Similarly,
