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Consider the collision between two toy carts sliding on a very smooth surface, as shown in the figure. The mass of the blue cart is m and the mass of the pink cart is (8/3)m. Initially the blue toy cart moves to the right at speed v and the pink toy cart is at rest. After the colllision, the speed of the blue toy cart is v/3 and the speed of the pink cart is v/2. How much energy was lost as the result of the collision, in units of mv2?

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