حل {l}{rho=2500}{v^2/r=GM/r^2}{M=rhoV}{V=4/3pir^3}{v=30}{G=6.67*10^-11}{T=2pir/vdiv}

$$\left. \begin{array} { l } { \rho = 2500 } \\ { \frac { v ^ { 2 } } { r } = \frac { G M } { r ^ { 2 } } } \\ { M = \rho V } \\ { V = \frac { 4 } { 3 } \pi r ^ { 3 } } \\ { v = 30 } \\ { G = 6.67 \times 10 ^ { - 11 } } \\ { T = \frac { 2 \pi r } { v } \div } \end{array} \right.$$

برای ρ،v،r،G،M،V،T حل کنید

$$r=-\frac{300000\sqrt{\frac{20010}{\pi }}}{667}\approx -35895.832399493\text{, }\rho =2500\text{, }v=30\text{, }G=0.0000000000667\text{, }M=-\frac{2700000000000000000000\sqrt{\frac{20010}{\pi }}}{444889}\approx -4.843515616 \cdot 10^{17}\text{, }V=-\frac{1080000000000000000\sqrt{\frac{20010}{\pi }}}{444889}\approx -1.937406246 \cdot 10^{14}\text{, }T=-\frac{20000\sqrt{20010\pi }}{667}\approx -7518.005557383$$

$$r=\frac{300000\sqrt{\frac{20010}{\pi }}}{667}\approx 35895.832399493\text{, }\rho =2500\text{, }v=30\text{, }G=0.0000000000667\text{, }M=\frac{2700000000000000000000\sqrt{\frac{20010}{\pi }}}{444889}\approx 4.843515616 \cdot 10^{17}\text{, }V=\frac{1080000000000000000\sqrt{\frac{20010}{\pi }}}{444889}\approx 1.937406246 \cdot 10^{14}\text{, }T=\frac{20000\sqrt{20010\pi }}{667}\approx 7518.005557383$$