# Metal linear expansion problems

1. At room temperature (23C), a metal ball just fits through a metal ring.

2. If the ball is heated up 50 degrees (change in temperature is 50 degrees), the ball won't fit. Explain why the ball won't fit.

3. If we heat up the ring only, does the ball fit? Why or why not?

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#### Solution Preview

During the heating process, the linear nature of thermal expansion leads to expansion of objects. For a metal ball, when heated, it will increase in volume according to the equation:

deltaV=Vo*3*alpha*deltaT

where deltaV=change in ...

#### Solution Summary

The solution provides detailed explanations and calculations for the problem regarding metal linear expansion problems.

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