1.

The bob A of a pendulum released from 30^(@) to the vertical hits another bob B of the same mass at rest on a table as shown in figure . How high does the bobA rise after the collision ? Neglect the size of the bobs and assume the collision to be elastic .

Answer»

Solution :When ball A reaches bottom oint its velocity is HORIZONTAL , hence ,we can use law of conservation of linear momentumin the horizontal direction .
(a) Two balls have same massand the collisionbetween them iselasti c , therefore , ball A transfers its entire linear momentum to ball B . Hence , BALLA will come to at rest after collision .

(b) SPEED with which bob B starts moving
= Speed with which bob A hits bob B
` = sqrt(2gh)`
`= sqrt(2xx9.8 xx1)`
` = sqrt(19.6)`
`= 4.42 ` m/s


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