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Physics Center of Mass Collision MCQ (Single Correct)

A particle of mass m moving with a speed v hits elastically another stationary particle of mass 2m in a fixed smooth horizontal circular tube of radius r. Find the time when the next collision will take place?

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The correct answer is:
CHECK THE SOLUTION.

t =

Sol. Particle B is a rest

mv + 0 = mv 1 + 2mv 2

∴ v = v 1 + 2v 2 .....(i)

= 1

⇒ v 2 – v 1 = v .....(ii)

Adding (i) + (ii)

3v 2 = 2v

∴ v 2 = v v 1 = v 2 – v =

Now (iii) + (iv)

t = =

t = Ans.

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