Answer:
Mass of the planet = 6.0 × [tex]10^{24}[/tex]
Explanation:
Time period = 2π (R + h) / v
Orbital speed (v) = √GM / (R + h)
T² = 4π² (R + h)² / (GM/ (R + h))
= 4π² (R + h)³ / GM
making m the subject of the formula
m = 4π² (R + h)³ / GT²
= 4π² ( 6.38 × [tex]10^{6}[/tex] + 230 × 10³ )³ / ( 6.67 × [tex]10^{-11}[/tex]) × (89 × 60)²
= 4π² ( 6610000)³ / ( 6.67 × [tex]10^{-11}[/tex]) × (89 × 60)²
= 5.99 × [tex]10^{24}[/tex]
= 6.0 × [tex]10^{24}[/tex]
