A Satellite That Is in a Circular Orbit 230 $6.38 \times 10 ^ { 6 } \mathrm {~m}$

Multiple Choice

A satellite that is in a circular orbit 230 km above the surface of the planet Zeeman-474 has an orbital period of 89 min. The radius of Zeeman-474 is $6.38 \times 10 ^ { 6 } \mathrm {~m}$

What is the mass of this planet? $\left( G = 6.67 \times 10 ^ { - 11 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { kg } ^ { 2 } \right)$

A) $5.5 \times 10 ^ { 24 } \mathrm { kq }$
B) $5.0 \times 10 ^ { 24 } \mathrm {~kg}$
C) $6.5 \times 10 ^ { 24 } \mathrm {~kg}$
D) $6.0 \times 10 ^ { 24 } \mathrm {~kg}$