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Assignment 01 Solutions, P2207 F11(2)

# Assignment 01 Solutions, P2207 F11(2) - Name Physics 2207...

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Name: __________________________________ Physics 2207, Fall 2011, Assignment 1 Solutions Cornell University 1 Physics 2207, Fall 2011, Assignment 1 Solutions 1. From the diagram (not to scale), d h ) tan( . d h 1 tan . (a) (b) Notice that at large distances the angular size doesn’t change much with distance but as you get close to the grain elevator, skyscraper, etc. the angular size increases rapidly with decreasing distance. (c) For distances ~4000 m the plot is approximately straight indicating an exponential dependence of on d . Also notice in the table for part (a) that for small values of , d h ) tan( . So, d h (for expressed in radians). So, ) ln( ) ln( ln ) ln( d h d h , and a log-log plot of vs. d would be a straight line. d h h 40 m. (m) (radians) ( ) d tan( ) 250 0.1600 0.1587 9.09 500 0.0800 0.0798 4.57 1000 0.0400 0.0400 2.29 2000 0.0200 0.0200 1.15 4000 0.0100 0.0100 0.57 6000 0.0067 0.0067 0.38 8000 0.0050 0.0050 0.29 Angular Size vs. Distance 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000 0.1200 0.1400 0.1600 0.1800 0 2000 4000 6000 8000 10000 Distance d (m) Angular Size (radians) Angular Size vs. Distance 0.0010 0.0100 0.1000 1.0000 0 2000 4000 6000 8000 10000 Distance d (m)

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Physics 2207, Fall 2011, Assignment 1 Solutions Cornell University 2 2. (a) Start with the definition of average velocity, 2 1 , av 2 2 t t x t x v x . For part 1 of the trip, 1 1 t x v and so 1 1 v x t . Similarly, for part 2 of the trip, 2 2 v x t . Substitute for 1 t & 2 t
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Assignment 01 Solutions, P2207 F11(2) - Name Physics 2207...

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