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Lect13

# Lect13 - PHYS 172 Modern Mechanics Lecture 13 Internal...

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Fall 2011 PHYS 172: Modern Mechanics Lecture 13 – Internal Energy 7.3 – 7.9 1

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TODAY •Path-Independence of Potential Energy •Temperature and Energy •Heat Capacity •Power •Open and Closed Systems •Volume and Temperature 2
Path independence of potential energy Change in potential energy does not depend on the path taken A B int B A U U U W Δ = = In a round trip the potential energy does not change ! v i ! v f At which point is the gravitational potential energy the largest? ! g A B C 3

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Temperature and energy: the connection Heat capacity: amount of energy required to heat up a unit of mass by a unit of temperature 4
Specific heat capacity Specific heat capacity C : amount of energy required to heat up a unit of mass by a unit of temperature thermal E Cm T Δ = Δ thermal E C m T Δ Δ Usually expressed per gram: J/(g . K) 5

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6 Demo: fire syringe Convert mechanical (kinetic) energy into heat 6
Example: heat capacity Niagara Falls – what is the rise in water temperature due to gravity if there were no losses of energy?

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