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EP I Winter Term 2014 / 2015 Exercises in Introductory Physics I Seminar 1 October 22nd 2014 Measurement 1. The distance to one of the nearest fixed stars (Alpha Centauri) is 4.3 × 1016 m. (a) How long does a light signal travel from the star to earth? (1P) (b) Calculate the angular diameter of the earth, one would observe from that star. (1P) 2. One cubic centimeter of a typical cumulus cloud contains 50 to 500 water droplets. These droplets have a typical radius of 10 µm. For that range, give the lower and the higher values, respectively, for the following: (a) How many cubic meters of water one will find in a cylindrical cumulus cloud of height 3.0 km and radius 1.0 km? (1P) (b) Water has a density of 1000 kg/m3 . What would be the mass of the cloud? (1P) Motion along a straight line 1. An object is thrown with an initial velocity of v0 = 5 m/s from a height of 15 m. Calculate the time until the object hits the ground for the following two cases: (a) It is thrown upwards. (1P) (b) It is thrown downwards. (1P) 2. If the maximum acceleration that is tolerable for passengers in a subway train is 1.34 m/s2 and subway stations are located 806 m apart from each other: (a) What is the maximum speed a subway train can attain between stations? (1P) (b) What would be the travel time between stations? (1P) (c) If a subway train stops for 20 s at each station, what is the average speed of the train? (1P) (d) Graph x,v and a versus t for the interval from one start-up to the next. (1P) Lecturer: R. Valiullin Teaching Assistants: D. Schneider