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l uynsw All h what speed, relative to the shore, does it move in a river 1 A boat can travel 40 m/s in still water. Wit that is owing at 1.0 m/s if the boat 15 heading (8) upstream? [3,0 m/s] (b) downstream? [5.0 m/s] [4.1 m/s] (c) straight across the river? 11 water is 1.75 m/s, must aim upstream at an angle of 263 (with res 2 A boat, whose speed in sti avel directly across the stream. a line perpendicular to the shore) in order to tr (a) Determine the speed of the current. (b) Determine the resultant speed of the boat with respect to the shore. 3 There is a strong wind at the Vancouver International Airport blowing 30 west of south at 60 km/h. An airplane taking off from this airport with an air speed of 840 km / h is headed 60 south of east. What is the velocity of the plane relative to observers on the ground? [870 km /h @ 27" E of S] 4 State the postulates of special relativity. speed of 0.80c for 30 years according to a. clock his own age and the age of the Earth-based twin [50; 70] 5 One 20-year-old twin brother takes a space trip with a on the spaceship. Upon returning to the Earth, what is brother? 6 A rocket ship is moving so fast that it appears to someone on Earth to be contracted to the occupants of the ship measure. How fast is the rocket ship moving? 80% of what [0.60] 7 The Sun is the closest star to Earth, and is 8 light-minutes away, meaning it takes light from the Sun 8 minutes to reach the Earth. The next closest star to Earth is Proxima. Centauri, and is 4.25 light-years away. You get on your spaceship with a constant speed of 0.600c relative to the Earth, and travel toward Proxima Centauri. (a) What distance does the space ship travel according to a passenger on the ship? [3 .40 1y] (b) How much time would elapse for a clock on Earth when you reach Proxima Centauri? [7 .08 y] (c) How much time would elapse for a clock on the ship when you reach Proxima Centauri? [5.67 y] 8 Determine the work required to accelerate yourself (60 kg) from 0.50c to 0.900. [5.6 x 1018 J] 9 The luminosity of a star is a measure of how much energy it produces each second. The Sun has a. luminosity of 3.83 x 1026 W. Determine how much mass is being converted into energy each second via. nuclear fusion in its core. [4.26 X 109 kg] 10 The kinetic energy of an electron is 75.0% of its total energy. What is the momentum of the electron? Answer in terms of kg-m/s and MeV/c. [1.06 x 1021 kg-m/s, 1.98 MeV/c] 11 A spacieship moves away from the Earth with a speed of 0.80c. The spaceship then res a missile with a spee of 0.606 relative to the spaceship. What is the velocity of the missile in the Earth if the missile is red easured by observers on (a) away from the Earth? [0 95 ] (b) toward the Earth? - c [0.38c] 12 State the equivalence principle