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Questions  

Two identical balls B and C, in contact with each other and at rest on a horizontal friction less table, are hit head-on by another identical ball A moving initially with a speed v as shown in fig. (3). What is observed, if

the collision is elastic ?

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a
Ball A comes to rest and baII B and C roII out with speed v each
b
Balls A and B come to rest and  ball C rolls out with speed v
c
All the balls roll out with speed v/3 each
d
All the balls come to rest

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detailed solution

Correct option is B

Here we apply the law of conservation of energy. If m be the mass of each ball, then K.E. before collision =12mv2 case (a). After collision, kinetic energy of the system =0+12mv22+12mv22=14mv2  case (b). =0+0+12mv2=12mv2  case (c). =12mv32+12mv32+12mv32 =16mv2  case (d). =0+0+0=0 Hence case (b) is the only possible result.


Similar Questions

 Two balls A and B of same mass and a third ball of mass M are arranged over a smooth horizontal surface as shown in fig.(1)  Ball A moves with a velocity v1 

towards ball B and C. All collisions are assumed to be elastic. lf. m>M , the number of collisions between B and C
 


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