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Earth Mars Saturn answers, include units Mass of planet (kg) 5.972x1024 6.417x102 5.683x102 1 AU= 1.496 x 10¹ m and Man 1.989 x 10 kg Semimajor axis Eccentricity of of orbit a (AU) orbit e 1.00 0.0167 0.0934 0.0565 Radius of planet (km) 6371.0 3389.5 58,232 9.58 a) Use Kepler's 3rd Law to find the semimajor axis of Mars' orbit. Period of orbit T (years) 1.00 1.88 AU m b) Use Kepler's 3d Law to find the period of Saturn's orbit. c) Find the gravitational acceleration on the surface of Mars both in m/s² and as a multiple of Earth's gravitational acceleration. yrs m/s² For (d) and (e), Earth's orbit is elliptical (ez0) but the semimajor axis is the average radius of the orbit so using the semimajor axis as the radius will let you solve for the average force and speed. d) Find the average force of gravity on the Earth from the Sun. e) Find the average speed of Earth as it moves around its orbit. N m/s

Earth Mars Saturn answers, include units Mass of planet (kg) 5.972x1024 6.417x102 5.683x102 1 AU= 1.496 x 10¹ m and Man 1.989 x 10 kg Semimajor axis Eccentricity of of orbit a (AU) orbit e 1.00 0.0167 0.0934 0.0565 Radius of planet (km) 6371.0 3389.5 58,232 9.58 a) Use Kepler's 3rd Law to find the semimajor axis of Mars' orbit. Period of orbit T (years) 1.00 1.88 AU m b) Use Kepler's 3d Law to find the period of Saturn's orbit. c) Find the gravitational acceleration on the surface of Mars both in m/s² and as a multiple of Earth's gravitational acceleration. yrs m/s² For (d) and (e), Earth's orbit is elliptical (ez0) but the semimajor axis is the average radius of the orbit so using the semimajor axis as the radius will let you solve for the average force and speed. d) Find the average force of gravity on the Earth from the Sun. e) Find the average speed of Earth as it moves around its orbit. N m/s

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Earth Mars Saturn answers, include units 1 AU=1.496 x 10" m and Mun= 1.989 x 10 kg Mass of planet Radius of (kg) planet (km) 6371.0 3389.5 58,232 5.972x1024 6.417x102 5.683x102 Semimajor axis Eccentricity of Period of orbit of orbit a (AU) orbit e T (years) 1.00 0.0167 1.00 0.0934 1.88 0.0565 9.58 a) Use Kepler's 3rd Law to find the semimajor axis of Mars' orbit. AU m b) Use Kepler's 3rd Law to find the period of Saturn's orbit. c) Find the gravitational acceleration on the surface of Mars both in m/s² and as a multiple of Earth's gravitational acceleration. yrs m/s² g For (d) and (e), Earth's orbit is elliptical (ez0) but the semimajor axis is the average radius of the orbit so using the semimajor axis as the radius will let you solve for the average force and speed. d) Find the average force of gravity on the Earth from the Sun. e) Find the average speed of Earth as it moves around its orbit. N m/s
Transcribed Image Text:Earth Mars Saturn answers, include units 1 AU=1.496 x 10" m and Mun= 1.989 x 10 kg Mass of planet Radius of (kg) planet (km) 6371.0 3389.5 58,232 5.972x1024 6.417x102 5.683x102 Semimajor axis Eccentricity of Period of orbit of orbit a (AU) orbit e T (years) 1.00 0.0167 1.00 0.0934 1.88 0.0565 9.58 a) Use Kepler's 3rd Law to find the semimajor axis of Mars' orbit. AU m b) Use Kepler's 3rd Law to find the period of Saturn's orbit. c) Find the gravitational acceleration on the surface of Mars both in m/s² and as a multiple of Earth's gravitational acceleration. yrs m/s² g For (d) and (e), Earth's orbit is elliptical (ez0) but the semimajor axis is the average radius of the orbit so using the semimajor axis as the radius will let you solve for the average force and speed. d) Find the average force of gravity on the Earth from the Sun. e) Find the average speed of Earth as it moves around its orbit. N m/s
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