A radar antenna is rotating and makes one revolution every 22 s, as measured on earth. However, instruments on a spaceship moving with respect to the earth at a speed v measure that the antenna makes one revolution every 41 5. What is the ratio v/c of the speed v to the speed c of light in a vacuum? Number n Units v The distance from earth to the center of our galaxy is about 25,000 ly {1 ly : 1 light year : 9.47 X 1015 m), as measured by an earth based observer. Aspaceship is to make this journey at a speed of 0.9990c. According to a clock on board the spaceship, how long will it take to make the trip? Express your answer in years. (1 yr is equal to 3.16 X 107 5.} Number n Units v Determine the ratio of the relativistic kinetic energy to the nonrelativistic kinetic energy (1/2mv2) when a particle has a speed of (a) 2.72 x 10%. and (b) 0.935c. (a) Number n Units v (b) Number n Units v The spaceship Enterprise 1 is moving directly away from earth at a velocity that an earthbased observer measures to be +0.74c. A sister ship, Enterprise 2, is ahead of Enterprise 1 and is also moving directly away from earth along the same line. The veolcity of Enterprise 2 relative to Enterprise 1 is +0.23c. What is the velocity of Enterprise 2, l[in terms of c) as measured by the earthbased observer? '. \"' .' "' Enterprise 1 Enterprise 2 Number n Units v