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The table below lists the average distance R to the Sun and orbital period T of the first planets:

 

             Distance  Orbital Period
Mercury  0.39 AU    88 days
Venus    0.72 AU    225 days
Earth     1.00 AU    365 days
Mars      1.52 AU    687 days


(a) Calculate the average distance of Mercury, Venus and Mars to the Earth.
Which one of these planets is the closest to Earth on average?


(b) Calculate the average distance of Mercury, Venus and Earth to Mars.
Which one of these planets is the closest to Mars on average?


(c) What do you expect for the other planets?

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Sadha
SadhaLv10
9 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Kepler's third law states that a planet's orbital period, p, isrelated to its average (semimajor axis) orbital distance, a,according to the mathematical relationship p^{2} = a^{3}. Which ofthe following statements describe a characteristic of the solarsystem that is explained by Kepler's third law?

a) Venus orbits the Sun faster than Earth orbits the Sun.
b) Inner planets orbit the Sun at higher speed thanouterplanets
c) The Sun is located slightly off-center from the middle ofeachplanet's orbit.
d) All the planets orbit the Sun in nearly the same plane
e) Earth is slightly closer to the Sun on one side of itsorbit thanon the other side
f) Pluto moves faster when it is closer to the Sun thanwhen it isfarther from the Sun




______________________________________________________________________________
2)Kepler's third law states that a planet's orbital period,p, isrelated to its average (semimajor axis) orbitaldistance, a,according to the mathematical relationshipp^{2} = a^{3}. Which ofthefollowing statements describe a characteristic of the solarsystemthat is explained by Kepler's third law?


Check all that apply

a) Venus orbits the Sun faster than Earth orbits the Sun.
b) Inner planets orbit the Sun at higher speed thanouterplanets
c) The Sun is located slightly off-center from the middle ofeachplanet's orbit.
d) All the planets orbit the Sun in nearly the same plane
e) Earth is slightly closer to the Sun on one side of itsorbit thanon the other side
f) Pluto moves faster when it is closer to the Sun thanwhen it isfarther from the Sun

calculate the angular momentum of the earth in its orbit around the sun?

 

 

m   5.97 10 kg 6 E R   6.38 10 m Orbital radius 11 r   1.50 10 m Period of rotation Prot = 24 h 86,400 s  Period of revolution Prev = 7 1 y 3.156 10 s   Identify: L I z z   Set Up: For a particle of mass m moving in a circular path at a distance r from the axis, 2 I mr  and v r   . For a uniform sphere of mass M and radius R and an axis through its center, 2 2 5 I MR  . The earth has mass 24 E m   5.97 10 kg , radius 6 E R   6.38 10 m and orbit radius 11 r   1.50 10 m . The earth completes one rotation on its axis in 24 h 86,400 s  and one orbit in 7 1 y 3.156 10 s   . Execute: (a) 2 24 11 2 40 2 7 2 rad (5.97 10 kg)(1.50 10 m) 2.67 10 kg m /s 3.156 10 s L I mr z z z                   . The radius of the earth is much less than its orbit radius, so it is very reasonable to model it as a particle for this calculation. (b)   2 2 2 24 6 2 33 2 5 5 2 rad (5.97 10 kg)(6.38 10 m) 7.07 10 kg m /s 86,400 s L I MR z z                  Evaluate: The angular momentum associated with each of these motions is very large. Note that the orbital angular momentum is over 7 orders of magnitude greater than its rotational angular momentum. In fact, most of the total angular momentum of the solar system comes from the sum of the orbital angular momenta of its planets.

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