Toronto, but the Aliens and Earthlings aren't sure that it will fit. They can 't radio the dimensions to each other because the Aliens and Earthlings use different units. However, the Earthlings ave synchronized detectors on the ground and they make recordings as the Alien ship makes some flybys. 1) One detector detects the nose and 5.0 us later a detector that is 900 m away detects it. How fast is it moving? What fraction of c is this? What is gamma at this speed? it convert s sin nanoseconds L = 900 m 7.8 x 108 m = 0.6c ry ( 5X10 6 ) s 51 = 0.61 4 = 1.25 ion 2) One detector detected the nose at exactly the same time that a second detector that was 240 m away detected the tail. How long is the ship, in the earth frame, in ns? 2110 m 5 x 10 - 7 The Earthlings just happen to have a hangar that is precisely 800 us long! The supervisor radios the Aliens to let them know that they have a parking space that is a perfect fit. The Aliens fly over the indicated hanger and make similar measurements to determine its length in their units. They radio the Earth to say that the hangar is much too small for their ship. 3) How big do the Aliens think the hangar is? Why is this different from the Earthings' value? VE = d * = 8 x 10 8 x 10 - 7 7. 8 x 10 8 ( 8 x 10 7 ) =d + = 8x 10 0 -64 0 - 8 - 6 144 m = d * = 1 x 10 ( 1 - 8 x 108 ) ( 1 x 10 6 ) = d 4) How big do the Aliens think their ship is? Why is this different from the Earthings' value? 180 = d answ Me VI- 70 0 kg V7 - ( 6 05 ( ) 7/