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### States of Matter Homework

- Calculate the amount a copper rod (a=16 x 10
^{-6}/°C) 25 m long will expand when it is heated from 4°C to 124°C. Ans: 0.048 m
- What is the volume difference for 2 liters of water (b=210 x 10
^{-6}/°C) at 5°°C and for water at 85°C? Ans: 0.034 L
- An aluminum rod (a=25 x 10
^{-6}/°C) that is 250 m long is heated. What is its final temperature if the length of the rod increases 0.215 m? Its initial temperature is 20°C. Ans: 54.4°C
- What is the change in length of a 15 m steel rail (a=12 x 10
^{-6}/°C) as it is cooled from 1535°C to 20°C? Ans: -0.27 m
- A concrete sidewalk (b=36 x 10
^{-6}/°C) with dimensions of 8m x 1m x 0.1 m at exactly 0°C is heated to 35°C. What is its new volume? Ans: 0.801 m^{3}
- What is the mass of a lead sphere (r=11,300 kg/m
^{3}) with a volume of 0.523 m^{3}? Ans: 5910 kg
- What is the pressure due to a 30 m tall column of water? Ans: 2.9 x 10
^{5} N/m^{2}
- A 70 kg object is suspended in a lake. Its volume is 0.03 m
^{3}. What is the buoyant force exerted on the object by the water? Ans: 294 N
- A 5 N force is applied to a piston 0f 0.5 m
^{2} cross-sectional area of a hydraulic piston. What force must be applied to a 5 m^{2} cross-sectional area? Ans: 50 N
- A solid cube of a certain material has a volume of 0.005 m
^{3}. It has a mass of 57.5 kg. What is its density? Ans: 11,500 kg/m^{3}
- What is the height of a column of water that exerts a pressure of 50,000 Pa? Ans: 5.10 m
- A 20 N force is exerted on the small piston of a hydraulic system. The cross-sectional area of the small piston is 0.50 m
^{2}. What weight can be lifted by the large piston if it has a surface area of 1.00 m^{2}? Ans: 40 N
- A buoyant force of 20 N acts on an object suspended in alcohol (r=800 kg/m
^{3}). What is the volume of the object? Ans: 0.0026 m^{3}
- Water flows through the bottom of a tapered pipe at the rate of 6 m/s. The bottom of the tapered pipe has a cross-sectional area of 0.100 m
^{2}. What will be its rate of flow through the top of the tapered pipe where the cross-sectional area is 0.035 m^{2}? Ans: 17.14 m/s

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Thermal Energy Homework