Centre of Mass 3 Question 14

17. Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v respectively, as shown in the figure. Between collisions, the

particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A ?

(2009)

(a) 4

(b) 3

(c) 2

(d) 1

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Answer:

Correct Answer: 17. (c)

Solution:

  1. At first collision one particle having speed 2v will rotate 240 or 4π3 while other particle having speed v will rotate 120 or 2π3. At first collision, they will exchange their velocities. Now, as shown in figure, after two collisions they will again reach at point A.



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