(Include full solutions)You and your friend Paul want to have a bet on how fast it...

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(Include full solutions)You and your friendPaul want to have a bet on how fast it can take to reach anotherfriend Peter who is near the star Sirius B. Knowing that the starhas a proper length of 8.6 light years from Earth, Paul thinks thatsince the maximum speed of your ship is 70% that of the speed oflight, it will take about 9 years to get there. However, you reasonthat around 12 years will make more sense.
a)Â Â Â Â Â Whois right from the perspective of you and Paul?
b)Â Â Â Â Â Whenyou reach Peter and explain the bet, he disagrees about who wasright, why is that?

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3.9 Ratings (587 Votes)

we havemaximum speed of our spaceship where speed of light in vacuumthe velocities of celestial bodies earth and star Sirius are sosmall comparative to the speed of light so we will assume them asstationary with respect to each otherPeter is near the star Sirius and is stationary with respect tostar Siriusthereforeframe of reference of peter frame reference of star Sirius andEarthwe haveproper See Answer

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