A cart of mass 33 is moving at a velocity of 16 in the positive directions when it collides with a cart of mass 13.0 moving at a velocity of 6.8 in the opposite direction.  If the carts experience a perfectly elastic collision, calculate the speed of the combined mass after the collision.

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A cart of mass 33 is moving at a velocity of 16 in the positive directions when it collides with a cart of mass 13.0 moving at a velocity of 6.8 in the opposite direction.  If the carts experience a perfectly elastic collision, calculate the speed of the combined mass after the collision.

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