If astronauts could travel at v disagree. 0.945c, we on earth would say it takes 4.200 945 4 44 years to reach pha centaur 42ð¤ çgint ears away. the astronauts (a) how much time passes on the astronauts' clocks? your response is within 10% of the correct value. this may be due to roundoff error or you could have a mistake in your calculation. results to at least four-digit accuracy to minimize roundoff error. years arn out all men mediate (b) what is the distance to alpha centauri as measured by the astronauts?

1.3734 years pass on the astronauts' clock.

The distance measured by astronauts is

Explanation:

The fomula for time dilation is:

where t' is the time observed by the astronauts, t is the time observed form Earth, v is the velocity of the astronaut and c is the velocity of light in a vacuum.

Replacing our values: t=4.2 year, v=0.945c

The distance measured by astronauts will be their speed multolied by the time is takes them to get to alpha centauri:

To acomodate fot units we write the speed of light in m/s and the amount of seconds in a year, so the resulting distance will be in meters.

We should compare this to the distance measured from Earth which is

the second one and the forth one are in the purple because they are opinions and the rest are in the yellow

explanation:

b.

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