Useful Planetary Data Mean Radius (m) 2.43 × 106 6.06 x 106 6.38 × 106 9.87 x 10

Question

Useful Planetary Data Mean Radius (m) 2.43 × 106 6.06 x 106 6.38 × 106 9.87 x 10 6.99 × 107 5.85 × 107 2.33 × 107 2.21 x 107 1.14 x 106 1.74 X 106 6.96 x 108 Mean Distance from Sun (m) 579 1010 1.08 × 1011 1.496× 1011 2.28 x 1011 7.78 × 1011 1.43× 1012 2.87× 1012 4.50× 1012 5.91 x 1012 10-19 S Body Mercu Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto Moon Sun In August 2006, the International Astronomical Union adopted a definition of a planet that separates Pluto from the other eight planets. Pluto is now defined as a "dwarf planet" like the asteroid Ceres Mass (kg) 3.18 × 1023 4.88 × 1024 5.98 × 1024 6.42 x 1023 1.90 × 1027 5.68 × 1026 8.68 × 1025 1.03 × 1026 1.27 × 1023 7.36 × 1022 1.991 x 100 Period (s) 7.60 × 106 1.04 × 107 3.156× 107 5.94 × 107 3.74× 108 9.35× 108 2.64 × 109 5.22× 109 782× 109 2.97 2.99 2.97 2.98 2.97 2.99 2.95 2.99 2.96

Explanation / Answer

w = 2pi / T = 2 pi / (24.6 x 3600s)

w = 7.095 x 10^05 rad/s

G M m / r^2 = m w^2 r

(6.67 x 10^-11) (6.42 x 10^23) = (7.095 x 10^-5)^2 r^3

r = 20.4 x 10^6 m

r = Re + h

20.4 x 10^6 = 3.37 x 10^6 + h

h = 17 x 10^6 m from surface of mars .....Ans

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