A small ball of mass m is placed on top of a large ball of mass 3m.  Both balls are dropped simultaneously from a height h = 3.75 m as shown in the figure.  Assuming the radius of the large ball and small are small and thus negligible in comparison to the height they are being dropped meaning the small ball has the same speed the large ball has when it hits the ground.  If the large ball rebounds elastically from the floor, collides with the small ball, stops and then the small ball rebounds elastically from the large ball, find the maximum height the small reaches

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A small ball of mass m is placed on top of a large ball of mass 3m.  Both balls are dropped simultaneously from a height h = 3.75 m as shown in the figure.  Assuming the radius of the large ball and small are small and thus negligible in comparison to the height they are being dropped meaning the small ball has the same speed the large ball has when it hits the ground.  If the large ball rebounds elastically from the floor, collides with the small ball, stops and then the small ball rebounds elastically from the large ball, find the maximum height the small reaches. 

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