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A star is 16.6 light-years from Earth. Part A How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on Earth? tEarth 17.5 years Submit ✓ Correct Correct answer is shown. Your answer 17.47 years was either rounded differently or used a different number of significant figures than required for this part. Part B How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on the spacecraft? t= 5.46 years Submit Previous Answers Part C ✓ Correct Previous Answers Submit What is the distance traveled according to observers on the spacecraft? I 5.18 light-years Previous Answers

A star is 16.6 light-years from Earth. Part A How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on Earth? tEarth 17.5 years Submit ✓ Correct Correct answer is shown. Your answer 17.47 years was either rounded differently or used a different number of significant figures than required for this part. Part B How long would it take a spacecraft traveling 0.950c to reach that star as measured by observer on the spacecraft? t= 5.46 years Submit Previous Answers Part C ✓ Correct Previous Answers Submit What is the distance traveled according to observers on the spacecraft? I 5.18 light-years Previous Answers

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Astronomical Calculations: Relativistic Space Travel **Problem Statement:** A star is 16.6 light-years from Earth. #### Part A **Question:** How long would it take a spacecraft traveling at 0.95 times the speed of light (0.95c) to reach the star as measured by an observer on Earth? **Answer:** \( t_{\text{Earth}} = 17.5 \) years Feedback: - Correct - Note: The correct answer is shown. Your answer, 17.47 years, was either rounded differently or used a different number of significant figures than required for this part. #### Part B **Question:** How long would it take a spacecraft traveling at 0.95c to reach the star as measured by an observer on the spacecraft? **Answer:** \( t = 5.46 \) years Feedback: - Correct #### Part C **Question:** What is the distance traveled according to observers on the spacecraft? **Answer:** \( l = 5.18 \) light-years Feedback: - Correct #### Part D **Question:** What will the spacecraft occupants compute their speed to be from the results of Part B and Part C? **User Input:** \( v = 3.29 \) c Feedback: - Incorrect; Try Again; 4 attempts remaining #### Summary This exercise demonstrates relativistic effects on time and space as observed from different frames of reference. Correct answers differ based on rounding and significant figures, emphasizing precision in scientific calculations.
Transcribed Image Text:### Astronomical Calculations: Relativistic Space Travel **Problem Statement:** A star is 16.6 light-years from Earth. #### Part A **Question:** How long would it take a spacecraft traveling at 0.95 times the speed of light (0.95c) to reach the star as measured by an observer on Earth? **Answer:** \( t_{\text{Earth}} = 17.5 \) years Feedback: - Correct - Note: The correct answer is shown. Your answer, 17.47 years, was either rounded differently or used a different number of significant figures than required for this part. #### Part B **Question:** How long would it take a spacecraft traveling at 0.95c to reach the star as measured by an observer on the spacecraft? **Answer:** \( t = 5.46 \) years Feedback: - Correct #### Part C **Question:** What is the distance traveled according to observers on the spacecraft? **Answer:** \( l = 5.18 \) light-years Feedback: - Correct #### Part D **Question:** What will the spacecraft occupants compute their speed to be from the results of Part B and Part C? **User Input:** \( v = 3.29 \) c Feedback: - Incorrect; Try Again; 4 attempts remaining #### Summary This exercise demonstrates relativistic effects on time and space as observed from different frames of reference. Correct answers differ based on rounding and significant figures, emphasizing precision in scientific calculations.
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