Dane: [latex]V_{II} = 365 m/s [/latex] R = 300 km = 3 * [latex]10^5 m[/latex] G = 6.67 * [latex]10^{-11}[/latex] [latex]pi approx 3.14[/latex] d=? gęstość Wzór: [latex]V_{II}= sqrt{frac{2GM}{R} [/latex] to nam daje wzór [latex]M= frac{ V_{II}^{2}*R} {2G} [/latex] [latex]M=frac{365^{2}*3*10^{5}}{ 2*6.67} [/latex] [latex]M approx 2.996 *10^{20}[/latex] [latex]V=frac{4}{3} pi R^{3} [/latex] [latex]V= frac{4}{3}*pi*(3 * 10^{5})^{3}[/latex] [latex]V =3.6 *pi *10^{16}}[/latex] [latex]d= frac{M}{V}[/latex] [latex]d=frac{ 2.996 *10^{20}}{3.6*10^{16}pi}}[/latex] [latex]d = frac{8.3(2)*10^{3}}{{pi}}[/latex] [latex]dapprox2.65 * 10 ^{3}[/latex] [latex][frac{kg}{m^{3}}][/latex]
