Useful Planetary Data Mean Distance from Sun (m) 579 × 100 1.08× 1011 1.496 x 10

Question

Useful Planetary Data Mean Distance from Sun (m) 579 × 100 1.08× 1011 1.496 x 1011 2.28 × 1011 7.78× 1011 1.43× 1012 287× 1012 4.50× 1012 5.91 x 1012 19 Mean Radius (m) 2.48 x 106 606 × 106 6.38 × 106 3.37 × 106 6.99 × 107 5.85 × 107 2.33 × 107 221 × 107 1.14 × 106 1.74 x 106 6.96 × 108 Body Mercury Venus Earth Mars upiter Saturn Uranus Neptune Plutoa Moon Sun In August 2006, the International Astronomical Union adopted a definition of a planet that separates Pluto from the other eight Mass (kg) 3.18 × 1023 4.88 × 1024 5.98× 1024 642 × 1023 1.90 x 1027 5.68 × 1026 8.68 × 1025 1.08 X 1026 1.27× 1023 7.36 X 1022 1.991 × 1030 7.60 x 106 1.94 x 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 planets. Pluto is now defined as a dwarf planet like the asteroid Ceres.

Explanation / Answer

force on object due to pluto = force on object due to sun

G*Mp*m/rp^2 = G*Ms*m/(r-rp)^2

(1.27*10^23)/(rp)^2 = (1.991*10^30)/(5.91*10^12-rp)^2

r = 1.49*10^9 m from pluto

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