(Solved): Six artificial satellites complete one circular orbit around a space station in the same amount of ...

Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass \( m \) and radius of orbit \( L \). The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible. Rank the net force on the satellites from greatest to least. \( \begin{array}{l}m=200 \mathrm{~kg} \\ L=5000 \mathrm{~m}\end{array} \quad \begin{array}{c}m=100 \mathrm{~kg} \\ L=10,000 \mathrm{~m}\end{array} \quad \begin{array}{c}m=400 \mathrm{~kg} \\ L=2500 \mathrm{~m}\end{array} \quad \begin{array}{l}m=300 \mathrm{~kg} \\ L=7500 \mathrm{~m}\end{array} \quad L=5000 \mathrm{~kg} \) \[ A=B=C=D=E=F \] \[ \mathrm{F}>\mathrm{C}>\mathrm{E}>\mathrm{A}>\mathrm{B}>\mathrm{D} \] \[ F>E>A=B=C>D \] \[ B>E>A=F>C=D \]