Question icon
Grade 11Mechanics

question 51 of chapter 9 centre of mass and collision

Profile image of safe india by sonu yadav
8 Years agoGrade 11
Answers icon

1 Answer

Profile image of we will so
ApprovedApproved Tutor Answer8 Years ago
If both the blocks are pulled by some force, they suddenly move with some acceleration and
instantaneously stop at same position where the elongation of spring is maximum.
 Let x1, x2  extension by block m1 and m2
Total work done = Fx1 + Fx2
 Increase the potential energy of spring = (1/2) K (x1+ x2)2 …(2)
Equating (1) and (2)
F(x1 + x2) = (1/2) K (x1+ x2)2  (x1+ x2) =
K
2F
Since the net external force on the two blocks is zero thus same force act on opposite direction.
 m1x1 = m2x2 …(3)
And (x1+ x2) =
K
2F