Odpowiedzi

2013-07-03T13:02:53+02:00

 

v_I = \sqrt{\frac{GM}{R}}

 

a)

M = 1/81MZ

R = Rz/3,7

 

\frac{v_{z}}{v_{k}} = \frac{\sqrt{\frac{GM}{R}}}{\sqrt{\frac{G \frac{M}{81}}{\frac{R}{3,7}}}} = \frac{1}{0,2}

 

v₁ = 0,2 x 7,9km/s = 1,58km/s

 

b)

M = 0,107Mz

R = 0,5Rz

 

\frac{v_{z}}{v_{k}} = \frac{\sqrt{\frac{GM}{R}}}{\sqrt{\frac{G 0,107M}{\frac{R}{2}}}} = \frac{1}{0,46}

 

v₁ = 0,46 x 7,9km/s = 3,634km/s

 

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