The average distance of the earth from the sun is about 1.5 x 108 km(Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Hello could you please show me part b for this problem?

The average distance of the earth from the sun is about
1.5 × 108 km(Figure 1). Assume that the earth's orbit
around the sun is circular and that the sun is at the origin of
your coordinate system. (a) Estimate the speed of the earth
as it moves in its orbit around the sun. Express your answer
in miles per hour with the appropriate number of significant
figures. (b) Estimate the angle between the position vector
of the earth now and what it will be in 4 months. (c) Calculate
the distance between these two positions.
Figure
<
y
Earth
R
0
g
Sun
1 of 1 >
-X
SET UP
▼
Part A
Write an expression for the earth's speed in terms of the average distance of the earth from the sun R and the time it takes the earth to complete
one orbit around the sun T.
Express your answer in terms of the variables R, T and the constant T.
► View Available Hint(s)
V =
2πR
T
Submit
Part B
d =
Correct
Previous Answers
Determine the distance between the positions of the earth if the angle between its position vectors is 0.
Express your answer in terms of the variables R and 0.
► View Available Hint(s)
Submit
ΠΙ ΑΣΦ
Request Answer
?
Transcribed Image Text:The average distance of the earth from the sun is about 1.5 × 108 km(Figure 1). Assume that the earth's orbit around the sun is circular and that the sun is at the origin of your coordinate system. (a) Estimate the speed of the earth as it moves in its orbit around the sun. Express your answer in miles per hour with the appropriate number of significant figures. (b) Estimate the angle between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions. Figure < y Earth R 0 g Sun 1 of 1 > -X SET UP ▼ Part A Write an expression for the earth's speed in terms of the average distance of the earth from the sun R and the time it takes the earth to complete one orbit around the sun T. Express your answer in terms of the variables R, T and the constant T. ► View Available Hint(s) V = 2πR T Submit Part B d = Correct Previous Answers Determine the distance between the positions of the earth if the angle between its position vectors is 0. Express your answer in terms of the variables R and 0. ► View Available Hint(s) Submit ΠΙ ΑΣΦ Request Answer ?
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