Momentum and CollisionHard
Question
Three balls A, B, and C (mA = mC = 4mB) are placed on a smooth horizontal surface. Ball B collides with ball C with an initial velocity v as shown in the figure. Total number of collisions between the balls will be (All collisions are elastic)
Options
A.one
B.Two
C.Three
D.Four
Solution
For collision between B and C :
vB =
u1 + 
=
v + 0 = - 3/5 vvC =
u1 + 
v2 = 
v + 0 = 
For collision between A and B :
vA = 0 +
vB′ = 0 +
∵ vB′ < vC
∴ B will not collide with C.
Therefore there will only two collisions.
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