# Relativistic Travel Calculation## IntroductionA star is located 16.6 light-years from Earth. We explore the effects of relativistic travel as a spacecraft journeys towards this star.## Part A**Problem:**How long would it take a spacecraft traveling at 0.950c (where c is the speed of light) to reach that star as measured by an observer on Earth?**Solution:**\[ t_{\text{Earth}} = 17.5 \, \text{years} \]- The answer is correct.## Part B**Problem:**How long would it take a spacecraft traveling at 0.950c to reach that star as measured by an observer on the spacecraft?**Solution:**\[ t = 5.46 \, \text{years} \]- The answer is correct.## Part C**Problem:**What is the distance traveled according to observers on the spacecraft?**Solution:**\[ l = 5.18 \, \text{light-years} \]- The answer is correct.## Part D**Problem:**What will the spacecraft occupants compute their speed to be from the results of part B and part C?**Attempt:**\[ v = 5.18 \, c \]- This attempt is incorrect. Students are advised to try again and have 3 attempts remaining.

Answered: Image /qna-images/answer/c7c93fb5-421e-4302-91c9-3c0280fa5ed4.jpgPartA:- time 17.5years measured by the observer on the Earth PartB:- Time t=5.46 years measured by the observer on the spacecraft PartC:- distance of the star is l=5.18 ly according to the observer on the spacecraft

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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 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 Submit Previous Answers What is the distance traveled according to observers on the spacecraft? 15.18 light-years Part D Previous Answers ✔Correct What will the spacecraft occupants compute their speed to be from the results of part B and part C? 195] ΑΣΦ h → C BPC ? 5.18 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining C

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 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 Submit Previous Answers What is the distance traveled according to observers on the spacecraft? 15.18 light-years Part D Previous Answers ✔Correct What will the spacecraft occupants compute their speed to be from the results of part B and part C? 195] ΑΣΦ h → C BPC ? 5.18 Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining C

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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Question

# Relativistic Travel Calculation

## Introduction
A star is located 16.6 light-years from Earth. We explore the effects of relativistic travel as a spacecraft journeys towards this star.

## Part A
**Problem:**
How long would it take a spacecraft traveling at 0.950c (where c is the speed of light) to reach that star as measured by an observer on Earth?

**Solution:**
\[ t_{\text{Earth}} = 17.5 \, \text{years} \]
- The answer is correct.

## Part B
**Problem:**
How long would it take a spacecraft traveling at 0.950c to reach that star as measured by an observer on the spacecraft?

**Solution:**
\[ t = 5.46 \, \text{years} \]
- The answer is correct.

## Part C
**Problem:**
What is the distance traveled according to observers on the spacecraft?

**Solution:**
\[ l = 5.18 \, \text{light-years} \]
- The answer is correct.

## Part D
**Problem:**
What will the spacecraft occupants compute their speed to be from the results of part B and part C?

**Attempt:**
\[ v = 5.18 \, c \]

- This attempt is incorrect. Students are advised to try again and have 3 attempts remaining.

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