Useful Planetary Data Body Mass (kg) Mean Radius (m) Period (s) Distance from Su

Question

Useful Planetary Data Body Mass (kg) Mean Radius (m) Period (s) Distance from Sun (m) T2/r3 (s2/m3) Mercury 3.18 1023 2.43 106 7.60 106 5.79 1010 2.97 10-19 Venus 4.88 1024 6.06 106 1.94 107 1.08 1011 2.99 10-19 Earth 5.98 1024 6.37 106 3.156 107 1.496 1011 2.97 10-19 Mars 6.42 1023 3.37 106 5.94 107 2.28 1011 2.98 10-19 Jupiter 1.90 1027 6.99 107 3.74 108 7.78 1011 2.97 10-19 Saturn 5.68 1026 5.85 107 9.35 108 1.43 1012 2.99 10-19 Uranus 8.68 1025 2.33 107 2.64 109 2.87 1012 2.95 10-19 Neptune 1.03 1026 2.21 107 5.22 109 4.50 1012 2.99 10-19 Pluto ~1.4 1022 ~1.5

Explanation / Answer

      Mass of earth, m1 = 5.98 X1024 kg       Mass of moon, m2 = 7.36 X1022 kg       Mass of spaceship, m3 = 30000 kg       Distance between earth and moon, d =384000 X 103 m       Distance of spaceship from earth ormoon, r = 192000 X 103 m       Net gravitational force, Fnet = ( Gm1 m3 / r2 ) - ( G m2 m3 / r2 )                                                 = ( G m3 / r2 ) ( m1 - m2 )                                     = [( 6.67 X 10-11 * 30000) / ( 192x 106)2] * ( 590.65 X 1022 )                                     = 3076.6 X 10-1                                     = 307.7 N

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.