Question

1. Suppose that you are on a spaceship traveling at a constant velocity of 0.770c. While riding along inside the spaceship, you measure the length of your own ship (in the direction of motion) to be 100. meters long a. As you speed past the Earth at constant velocity, what do observers on Earth measure the length of your spaceship to be? A. 53.8 m B. 63.8 m C. 73.8 m D. 83.8 m E. 93.8 m b. As you speed past the Earth in your spaceship, you see a football field laid out in the direction of your motion, and you know that its rest length should be 100. meters. What do you measure the length of the field to be? A. shorter than 100. m B. 100. m C. longer than 100. m

Answer 1

v= to 0.770 C 100m e be the length of spaceship measured by observer on earth. - 100%:-(0.370) 1 100 si-0.5929 1 1oo 0.4074 1 1 100 x 0.63827 = 63.827 m ř 63.8m So the correct option is option (B), 63.8m. 22 6) The length of the field measureed is shorter than soom so the Correct option is option (A), shorter than 100m.