Momentum and CollisionHard

Question

The fig. shows a of equally placed beads of mass m, separated by distance d. The beads are free to slide without friction on a thin wire. A constant force F acts no the frost bead initially at rest till it makes collision with the second bead. The second bead then collides with the third so on Suppose that all collisions are elastic

Options

A.Speed of the first bead immediately before and immediately after its collision with the second bead is and zero respectively
B.Speed of the first bead immediately before and immediately after collision with the seconded is and respectively
C.Speed of the first bead immediately after its collision with third bead  is zero
D.The average speed of the first bead is

Solution

In elastic head on collision if the masses of the colliding bodies are equal, the velocities after collision are interchanged.
For Ist bead , Fd = mu2 ⇒ u =

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