Ask Question
15 October, 09:21

The average distance of the earth from the sun is about 1.5 * 10^8 km. 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 θ between the position vector of the earth now and what it will be in 4 months. (c) Calculate the distance between these two positions.

Answers (1)
  1. 15 October, 11:14
    Distance between sun and earth will act as radius of circular path

    R = 1.5 X 10¹¹ m

    angular velocity of the earth

    ω = 2π / T

    = 2 X 3.14 / (365 X 24 X 60 X 60)

    = 1.99 X 10⁻⁷ radian / s

    velocity v = ω R

    = 1.99 X 10⁻⁷ X 1.5 X 10¹¹

    = 2.985 X 10⁴ m / s

    = 29.85 km/s

    29.85 x 60 x 60 km/h

    = 107460 km/h

    107460/1.6 mile / h

    = 67162.5 mile / h

    b) Angle moved in 12 months

    = 360 degree

    angle moved in 4 months

    = 360 / 3

    = 120 degree

    c) Circumference of the orbit

    = 2 x 3.14 x 1.5 x 10⁸ km

    9.42 x 10⁸ km

    required distance will be 1/3 rd of circumference

    = 9.42 / 3 x 10⁸ km

    = 3.14 x 10⁸ km
Know the Answer?
New Questions in Physics
A (n) ___ is something that has actually happened or is true and can be supported by evidence. fact opinion paradox statement
Answers (1)
According to communist theory, the value of a commodity is determined by the a. Gosplan. b. proletariat. c. laws of supply and demand. d. amount of labor put into it.
Answers (1)
A ship sends out a 1200 Hz sound wave, which has a wavelength of 120 cm in the water. What would happen if that ship sent out a 600Hz sound wave instead?
Answers (1)
How did England's navigation laws affect the colonies? A. They increased the amount of goods that could be sold in the colonies B. They provided protection to the colonies from foreign invasions C.
Answers (1)
Which of the following sentences is a complex sentence? I ate dinner but not lunch. I ate dinner. Although I like to go out for dinner, I have not had time, and I don't have anyone to take with me. Who wants to eat lunch before noon?
Answers (2)
If p ≤ 11 and p is a multiple of 3, what is a possible value of p?
Answers (1)
Which statement explains what happens to older crust during seafloor spreading? It is destroyed at coastlines. It moves under continents. It is destroyed at a mid-ocean ridge. It moves away from a mid-ocean ridge.
Answers (2)
What is the name for the world wide exchange of goods, services, capital people and information
Answers (1)
Which of these events contributed most to the United States being recognized as an international power?
Answers (2)
How many feet does food travel in the average adult's digestive tract
Answers (1)