On a smooth carom board,a coin moving in negative -direction with a speed of 3m/s is being hit at the point (4,6) by a striker moving along negative -axis. The line joining the centres of the coin and the striker just before the collision is parallel to -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
a) |
(1,0) |
b) |
(2,0) |
c) |
(3,0) |
d) |
None of these |
On a smooth carom board,a coin moving in negative -direction with a speed of 3m/s is being hit at the point (4,6) by a striker moving along negative -axis. The line joining the centres of the coin and the striker just before the collision is parallel to -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
a) |
(1,0) |
b) |
(2,0) |
c) |
(3,0) |
d) |
None of these |
(b)
The line of impact for duration of collision is parallel to the -axis. The situation of striker and coin just before the collision is given as
Because masses of coin and striker are same, their components of velocities along the line of impact shall exchange. Hence, the striker comes to rest and the -and -components of velocities of coin are and 3 m/s, respectively, as shown in fig.
For coin to enter hole, its velocity must be along
or m/s