4. A circular copper ring at 20.0°C has a hole with an area of 9.980 cm². (a) What minimum temperature must it have so that it can be slipped onto a steel rod having a cross-sectional area of 10.000 cm²? (b) Suppose the ring and the rod are heated simultaneously. What minimum change in tem- perature of both will allow the ring to be slipped onto the end of the rod? Copper coefficient of linear expansion: 17x10-(C)-1 Steel coefficient of linear expansion: 11x10-(°C)-!

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4. A circular copper ring at 20.0°C has a hole with an area of 9.980 cm².
(a) What minimum temperature must it have so that it can be slipped onto a steel rod having
a cross-sectional area of 10.000 cm²?
(b) Suppose the ring and the rod are heated simultaneously. What minimum change in tem-
perature of both will allow the ring to be slipped onto the end of the rod?
Copper coefficient of linear expansion: 17×10-(°C)-1
Steel coefficient of linear expansion: 11x10-°(°C)-i
5. Your 300 mL cup of coffee is too hot to drink when served at 90 °C. What is the mass of an
ice cube, taken from -20 °C freezer that will cool your coffee to a pleasant 60 °C? Specific heat
capacity of ice = 2090 J/kgK.
Latent heat for fusion = 330000 J/kq
Transcribed Image Text:4. A circular copper ring at 20.0°C has a hole with an area of 9.980 cm². (a) What minimum temperature must it have so that it can be slipped onto a steel rod having a cross-sectional area of 10.000 cm²? (b) Suppose the ring and the rod are heated simultaneously. What minimum change in tem- perature of both will allow the ring to be slipped onto the end of the rod? Copper coefficient of linear expansion: 17×10-(°C)-1 Steel coefficient of linear expansion: 11x10-°(°C)-i 5. Your 300 mL cup of coffee is too hot to drink when served at 90 °C. What is the mass of an ice cube, taken from -20 °C freezer that will cool your coffee to a pleasant 60 °C? Specific heat capacity of ice = 2090 J/kgK. Latent heat for fusion = 330000 J/kq
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