The length of a moving spaceship is 28.2 m according to an astronaut on the spaceship. If the spaceship is contracted by 15.7 cm according to an Earth observer, what is the speed of the spaceship?

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In the frame of reference of the astronaut, the spaceship is at rest. Hence, the length measured in this frame is the actual length of the ship. So, L..=23.2m =2,32ncm In the frame of reference of earth, the length is: L = 28.2 m 15.7 cm = 2,320 c111 15.1r cm = 2,804.30111 Explanation: The reduction in length is due to the effects of relativity. The reduced length is given as follows: L = 215 V2 = Lo1/1 C2 2,804.3 = 2,8201/1- V2 2 0.994433 = V2 1 v2 0.988896 = 1 - - 0.011104 = 0.1054 v = 0.1054 x 3 x 108 = 3.16 x 107 I S Explanation: The speed of the spaceship is around 10 percent of the speed of light.