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The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.283 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.351 of the speed of light with respect to you. (a) at what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (b) Is this more or less than the classical limit? Use the Galilean transform to prove this. (c) What if the torpedo is launched at the speed of light? At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (Show all work.) (d) How fast would the second craft have to be going to measure the torpedoes speed as 10% greater than the classical limit. (Assume the torpedo is launched at the original speed, 0.351 of the speed of light.)

The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.283 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.351 of the speed of light with respect to you. (a) at what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (b) Is this more or less than the classical limit? Use the Galilean transform to prove this. (c) What if the torpedo is launched at the speed of light? At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (Show all work.) (d) How fast would the second craft have to be going to measure the torpedoes speed as 10% greater than the classical limit. (Assume the torpedo is launched at the original speed, 0.351 of the speed of light.)

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The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.283 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.351 of the speed of light with respect to you. (a) at what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (b) Is this more or less than the classical limit? Use the Galilean transform to prove this. (c) What if the torpedo is launched at the speed of light? At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (Show all work.) (d) How fast would the second craft have to be going to measure the torpedoes speed as 10% greater than the classical limit. (Assume the torpedo is launched at the original speed, 0.351 of the speed of light.)
Transcribed Image Text:The crew of an enemy spacecraft attempts to escape from your spacecraft by moving away from you at 0.283 of the speed of light. But all is not lost! You launch a space torpedo toward the foe at 0.351 of the speed of light with respect to you. (a) at what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (b) Is this more or less than the classical limit? Use the Galilean transform to prove this. (c) What if the torpedo is launched at the speed of light? At what speed in kilometers per second does the enemy crew observe the torpedo approaching its spacecraft? (Show all work.) (d) How fast would the second craft have to be going to measure the torpedoes speed as 10% greater than the classical limit. (Assume the torpedo is launched at the original speed, 0.351 of the speed of light.)
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