Answer to Question #89385 in Astronomy | Astrophysics for Peace Adejumobi

Question #89385
The diameter of the Sun is 1.39 million kilometres and the Earth is 8.3 light minutes far away.
Proxima Centauri is the nearest star - it has a distance of 4.24 light years to our Sun.
(a) How long does it take to travel to Proxima Centauri with
(i) an airplane (920 km/h) or
(ii) with the Voyager 1 space probe (17 km/s).
(b) Let the Sun have the size of a tennis ball (diameter: 6.7 cm): How far away is the Earth and
how far away is Proxima Centauri on this scale?
1
Expert's answer
2019-05-10T12:21:26-0400

a) i)


t=(4.24)9.461012920=4.41010 ht= \frac{(4.24)9.46 \cdot 10^{12}}{920}=4.4\cdot 10^{10} \ h

ii)


t=(4.24)9.46101217=2.41012 st'= \frac{(4.24)9.46 \cdot 10^{12}}{17}=2.4\cdot 10^{12} \ s

b)


DE=(8.3)1.81076.71.39106=720 cm=7.2 mD_E=(8.3) 1.8\cdot 10^{7} \frac{6.7}{1.39 \cdot 10^{6}}=720\ cm= 7.2 \ m


DPC=(4.24)9.4610126.71.39106=1.9108 cm=1900 kmD_{PC}=(4.24)9.46 \cdot 10^{12} \frac{6.7}{1.39 \cdot 10^{6}}=1.9 \cdot 10^{8}\ cm= 1900 \ km


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Comments

Assignment Expert
14.05.19, 17:00

Dear M, we are very sorry, but we can't delete the question.

M
13.05.19, 19:51

This is a question from a global competition dear 'admin' :) I have asked you to delete it as it will be unfair for the other participants ...

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