During the daylight, you hold a ruler in a distance of 60 cm away from your eyes, and you find the size of the Moon to be 0.55 cm (try it yourself!). At night, you use a telescope to observe rock formations and craters on the Moon to estimate the diameter of the Moon to be about 3500 km.

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21-02-2020
Physics

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During the daylight, you hold a ruler in a distance of 60 cm away from your eyes, and you find the size of the Moon to be 0.55 cm (try it yourself!). At night, you use a telescope to observe rock formations and craters on the Moon to estimate the diameter of the Moon to be about 3500 km.

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Edufirst Edufirst · Answer 1 · 2020-02-27T12:33:39+01:00

Answer:

The distance to the Moon by using only the information from this experiment is 400,000Km

Explanation:

The question is "Find the distance to the Moon by using only the information from this experiment"

You can set a proportional relation:

[tex]\dfrac{Distance\text{ } of\text{ }Moon}{Diameter}=\dfrac{Distance\text{ } of\text{ }Ruler}{Size\text{ }of\text{ }Image}[/tex]

[tex]\dfrac{Distance\text{ } of\text{ }Moon}{3,500Km}=\dfrac{60cm}{0.55cm}\\\\\\ Distance\text{ } of\text{ }Moon={3,500Km}\times \dfrac{60cm}{0.55cm}[/tex]

[tex]Distance\text{ } of\text{ }Moon=381,818Km[/tex]

The precision of the result of the experiment is limited by the precision of the measurements done. The least precision of your measurements is that of the distance of 60 cm, which has one significant figure. Thus, your answer should also have one significant figure.

Then, you must report 400,000Km. If the distance of 60 cm would have been reported with two significant figures, i.e. 60. cm, then the answer would be 380,000Km.

jayilych4real jayilych4real · Answer 2 · 2022-04-19T13:20:39+02:00

The diameter of the Moon which is about 3500 km is 400,000Km

Calculations and Parameters:

Using the formula:

[tex]Moon distance/Diameter= Distance of Ruler/Size of Image[/tex]

Distance of Moon= [tex]3,500 * 60/0.55[/tex]

= 381,818km.

Hence, because the precision of our experiment has at least 60 cm and has one significant figure, we would approximate to 1 S.F which is 400,000Km