4. From Earth, the angular size of the Moon is 0.5°. The distance between the Earth and the Moon is 384,400 km. Use the small-angle formula to find the size of the Moon (Recall that you must first convert the angle to radians). Compare this number to the diameter of the Moon given previously. Is it consistent?

Principles of Physics: A Calculus-Based Text
5th Edition
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Author:Raymond A. Serway, John W. Jewett
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Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 56P: The distance from the Sun to the nearest star is about 4 1016 m. The Milky Way galaxy (Fig. P1.56)...
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Question 4 please

Part 3
1. The diameter of the Sun is 1,391,400 km. The diameter of the Moon is
3,474.8 km. Find the ratio, r= DSun/DMoon between the sizes.
r= [Rsun / Dmeon]
r= [1,391,400 / 3,474.8]
r= 400.425
r= 400.425
2. From the point of view of an observer on Earth (consider the Earth as a
point-like object), during the eclipse, the Moon covers the Sun exactly.
Sketch a picture to illustrate this fact. Use a ruler to get a straight line. Your
drawing does not need to be in scale.
3. The Sun is 1 Astronomical Unit (AU) away from the Earth. Find the
distance between the Earth and the Moon in AU's using the ratio of similar
triangles. Show your work.
DE/M =
AU.
Convert this to kilometers. Use 1 AU = 149,600,000 km.
DE/M =
km.
4. From Earth, the angular size of the Moon is 0.5°. The distance between the
Earth and the Moon is 384,400 km. Use the small-angle formula to find the
size of the Moon (Recall that you must first convert the angle to radians).
Compare this number to the diameter of the Moon given previously. Is it
consistent?
Transcribed Image Text:Part 3 1. The diameter of the Sun is 1,391,400 km. The diameter of the Moon is 3,474.8 km. Find the ratio, r= DSun/DMoon between the sizes. r= [Rsun / Dmeon] r= [1,391,400 / 3,474.8] r= 400.425 r= 400.425 2. From the point of view of an observer on Earth (consider the Earth as a point-like object), during the eclipse, the Moon covers the Sun exactly. Sketch a picture to illustrate this fact. Use a ruler to get a straight line. Your drawing does not need to be in scale. 3. The Sun is 1 Astronomical Unit (AU) away from the Earth. Find the distance between the Earth and the Moon in AU's using the ratio of similar triangles. Show your work. DE/M = AU. Convert this to kilometers. Use 1 AU = 149,600,000 km. DE/M = km. 4. From Earth, the angular size of the Moon is 0.5°. The distance between the Earth and the Moon is 384,400 km. Use the small-angle formula to find the size of the Moon (Recall that you must first convert the angle to radians). Compare this number to the diameter of the Moon given previously. Is it consistent?
Expert Solution
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Physics homework question answer, step 1, image 1

The small-angle approximation for the case as shown in figure is given as-
θ=LR

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