Assignment 02 Solutions, P2207 F11

Assignment 02 Solutions, P2207 F11 - Name: _ Physics 2207,...

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Name: __________________________________ Physics 2207, Fall 2011, Assignment 2 Solutions Cornell University 1 Physics 2207, Fall 2011, Assignment 2 Solutions 1. CRJ-100 jet plane minimum takeoff speed, km/h 360 min v . Minimum runway length, m 10 8 . 1 km 8 . 1 3 min L . m/s 100 s 3600 h 1 km 1 m 10 km/h 360 3 . (a) Use ) ( 2 0 2 , 0 2 x x a v v x x x . Here, 0 , 0 x v , m 10 8 . 1 ) ( 3 0 x x , and m/s 100 x v . 2 3 2 0 2 , 0 2 m/s 8 . 2 ) m 10 8 . 1 ( 2 0 ) m/s 100 ( ) ( 2 x x v v a x x x . 29 . 0 81 . 9 8 . 2 g a x . (b) Use t v v x x x x ) ( , 0 2 1 0 . s 36 ) m/s 100 0 ( ) m 10 8 . 1 ( 2 ) ( ) ( 2 3 , 0 0 x x v v x x t . (c) x ( t ) vs. t 0 200 400 600 800 1000 1200 1400 1600 1800 2000 0 5 10 15 20 25 30 35 40 Time t (s) Position x (m) v x ( t ) vs. t 0 60 80 100 120 0 5 Time t (s) Velocity v (m/s) a x ( t ) vs. t 0.00 0.50 1.00 1.50 2.00 2.50 3.00 0 5 Time t (s) Acceleration a (m/s 2 )
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Physics 2207, Fall 2011, Assignment 2 Solutions Cornell University 2 (d) m/s 8 . 27 s 3600 h 1 km 1 m 10 km/h 100 3 . jet 2 , 0 avg , car, m/s 1 . 3 s 0 . 9 m/s 8 . 27 a t v v a x x x . (e) From Runway 22: paper. on cm 91 . 6 m 10 8 . 1 3 (This assumes that Runway 22 is the minimum length, 1.8 km, required for takeoff.) Then the length of Runway 26 is m 10 0 . 9 cm 91 . 6 m 10 8 . 1 cm 45 . 3 2 3 . Use ) ( 2 0 2 , 0 2 x x a v v x x x . m/s 71 ) m 10 0 . 9 )( m/s 8 . 2 ( 2 ) ( 2 2 2 0 x x a v x x . km/h 10 6 . 2 h 1 s 3600 m 10 km 1 m/s 71 2 3 . 2. Chapter 2 Problem 40. km/h 55 , 0 x v . m/s 15 s 3600 h 1 km 1 m 10 km/h 55 3 . 2 m/s 18 . 5 a . Reaction time, s 75 . 0 T . (a) m 40 light to d . Light duration, s 8 . 2 light t . If you don’t brake then in 2.8 s you’ll move a distance m 40 m 42 ) s 8 . 2 )( m/s 15 ( light , 0 t v x x , so you’ll make it through the intersection in time.
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Assignment 02 Solutions, P2207 F11 - Name: _ Physics 2207,...

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