1. Determine the gamma factors to 5 significant digits for the following relativistic speeds V (c) Y 0.01 c or 1% the speed of light 0.10 c or 10% the speed of light 0.25 c or 25% the speed of light 0.50 c or 50% the speed of light 0.75 c or 75% the speed of light 0.90 c or 90% the speed of light 0.99 c or 99% the speed of light 0.999 c or 99.9% the speed of light 0.9999 c or 99.9% the speed of light Show a sample calculation for a row of your choice: Sketch a graph of gamma factor vs speed for 0.25 c to 0.99 c. Y 0.0 0.10 V (c)2. If a space ship is 100 m long at rest and 20 m high and 40 m wide, then what are its dimensions at 99% of c forward? 3. If superman masses 250 kg at rest then determine his mass if he is moving at 0.90 c. 4. If it takes 1 hour for a volcano to erupt on the planet Earth, then how long does it appear to take for an alien in a spaceship passing by the Earth at 25% of the speed of light? 5. If it takes 15 min for Wonderwoman to eat lunch on her invisible jet flying at 0.999 c, then how long has passed at Justice League headquarters which is at rest?6. If Thor masses 1.014 metric tonne while flying at 98.9% the speed of light, then determine his rest mass. 7. Spiderwoman is normally 1.8 m tall when at rest. How fast would she have to fly upwards at to contract to a length of 1.0 m?8. Draw the following shapes as they would appear at various relativistic velocities. At rest 0.50 c 1 m 50 cm 0.75 c 60 cm 60 cm O 0.90 c 10 m 10 m 10 m or 0.99 c