Two 324-cm metal rods one made of copper and one made of, Physics

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Two 324-cm metal rods one made of copper and one made of

Two 32.4-cm metal rods, one made of copper and one made of aluminum, are placed end to end, touching each other. One end is fixed, so that it cannot move. The rods are heated from 0.0° C to 163° C. The coefficient of linear expansion for copper is 1.6 10-5 K?1 and for aluminum is 2.25 10-5 K?1. How far does the other end of the system of rods move?

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