Posted by **Justin S.** on Sunday, June 30, 2013 at 8:50pm.

A satellite circles the earth in an orbit whose radius is 2.07 times the earth's radius. The earth's mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?

- Phyiscs -
**Elena**, Monday, July 1, 2013 at 3:38am
the gravitational constant G =6.67•10⁻¹¹ N•m²/kg²,

Earth’s mass is M = 5.98•10²⁴kg,

Earth’s radius is R = 6.38•10⁶ m.

T=L/v

F = m₁•m₂/R= G•m•M/(2.07R) ²

F=ma=m•v²/(2.07R)

G•m•M/(2.07R)² =m•v²/(2.07R)

v=sqrt{G•M/2.07R}

T=2π(2.07R)/sqrt{G•M/2.07R}=…

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