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  • On a smooth carom board, a coin moving in negative y-direction with a speed of 3 m/s is being hit at the point (4, 6) by a striker moving along negative x-axis. The line joining centres of the coin

On a smooth carom board, a coin moving in negative y-direction with a speed of 3 m/s is being hit at the point (4, 6) by a striker moving along negative x-axis. The line joining centres of the coin and the striker just before the collision is parallel to x-axis. After collision the coin goes into the hole located at the origin. Masses of the striker and the coin are equal. Considering the collision to be elastic, the initial and final speeds of the striker in m/s will be :

                              

Option: 1

 (1.2, 0)


Option: 2

 (2, 0)


Option: 3

(3, 0)


Option: 4

 none of these


Answers (1)

best_answer

The line of impact for the duration of collision is parallel to x-axis.

  The situation of the striker and coin just before the collision is given as

                

Because masses of coin and striker are same, their components of velocities along line of impact shall exchange. Hence the striker comes to rest and the x-y component of velocities of coin are u and 3 m/s as shown in figure.

                    

For coin to enter hole,

 its velocity must be along PO 

\therefore \; \; tan\theta =\frac{6}{4}=\frac{3}{u}       or       u=2\: m/s

Posted by

manish painkra

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