Q000 - Physics For Engineers And Scientists - Solutions

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Question 68 - Problems - Chapter 1

Problem:

In the Glápagos Islands group on the equator there is a small island of Marchena which is located 60km west of the island of Genovesa

Question:

If in Genovesa the sun goes down at exactly 8:00 pm, when will it go down in Marchena?

Solution:

The sun goes down in the west. Marchena is located west of Genovesa. The sun will therefore go down there later.

At the equator the sun does 40,000 km to have a complete passage.

For 1 km she does so $\frac{24\;h}{40\ldotp 000\;\textrm{km}}$ hours

For 60 km this will be $\frac{24 h*60 km}{40\ldotp 000 km}$ hours

In [1]:
from datetime import timedelta
from datetime import datetime
later = timedelta(hours=((24 * 60) / 40000))
TimeGenovesa = datetime(2000, 1, 1, 20, 0, 0, 0)
TimeMarchena=TimeGenovesa + later
print('At Marchena the sun rises at:', TimeMarchena.strftime('%H:%M:%S.%f'))
At Marchena the sun rises at: 20:02:09.600000

سُوۡرَةُ حٰمٓ السجدة / فُصّلَت
ثُمَّ اسْتَوَىٰ إِلَى السَّمَاءِ وَهِيَ دُخَانٌ فَقَالَ لَهَا وَلِلْأَرْضِ ائْتِيَا طَوْعًا أَوْ كَرْهًا قَالَتَا أَتَيْنَا طَائِعِينَ ﴿١١
فَقَضَاهُنَّ سَبْعَ سَمَاوَاتٍ فِي يَوْمَيْنِ وَأَوْحَىٰ فِي كُلِّ سَمَاءٍ أَمْرَهَا ۚ وَزَيَّنَّا السَّمَاءَ الدُّنْيَا بِمَصَابِيحَ وَحِفْظًا ۚ ذَٰلِكَ تَقْدِيرُ الْعَزِيزِ الْعَلِيمِ ﴿١٢


Surah Fussilat: Thereafter turned He to the heaven and it was as smoke, and said Unto it and Unto the earth: come ye twain, willingly or loth. They said: we come willingly. (11) Then He decreed them as seven heavens in two days, and revealed Unto each heaven the command thereof; and We bedecked the nether heaven with lamps and placed therein a guard. That is the ordinance of the Mighty, the Knower. (12)

De hemelen en aarde (waren) een samenhangende massa. Wij hebben ze toen van elkaar gescheiden… Wij hebben de hemel tot een beschermend dak gemaakt … en de dag en de nacht, de zon en de maan geschapen. (Koran 41 11:12)


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