# Huge collision!

Three balls having masses $$2m$$, $$3m$$ and $$5m$$ having equal velocities $$v_0$$ collide with a block of wood of mass $$6m$$ which is at rest, in a perfectly elastic collision.

Now, this whole system of the balls and the block is moving with a velocity of $$v_1$$.

If the ratio $$\dfrac{v_0}{v_1}$$ is equal to $$\dfrac ab$$, where $$a$$ and $$b$$ are co-prime, find $$a+b$$.

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