Answer :

Given that two balls having masses m and 2m are fastened to two light strings of same length l,

Let the velocity of m reaching at lower end is V1,

From work energy principle

Similarly, velocity of heavy block will be


Since, both the balls acts in opposite direction.

{a} Let the final velocity of m and 2m is v1 and v2 respectively.

According to law of conservation of momentum

_________ (1)


_____________ (2)

Subtracting equation (2) from (1)

Putting in equation (2)

Hence, light ball will have velocity towards left

And heavy ball will velocity

{b} Let h be the height gone by heavy ball

Putting work energy principle

Similarly, h’ be the height reached by light ball

So, the balls will rise of following height after the collision

Light ball and heavy ball.

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