Question

Calcule a velocidade de escape no planeta marte cuja massa vale 6 .10 elevado a 23 kg e raio 3 .10 elevado a 6 m.Considere G=6,7.10 elevado a -11

Answer 1

- Calculamos por:

$V_e = \sqrt{ \frac{2GM}{R} }\\\\\\V_e = \sqrt{\frac{2*6,7*10^{-11}*6*10^{23}}{3*10^6} } \\\\\\V_e = \sqrt{\frac{80,4*10^{12}}{3*10^6}}  \\\\\\V_e = \sqrt{26,8*10^{6}} \\\\\\~~~~~~~~~~~~~~~~~~\boxed{\boxed{V_e = 5,7*10^3~~m/s}}$

Answer 2

Resolução:

Velocidade de escape é dada por :

$Ve = \sqrt{ \frac{2 \times G \times M}{R} }$

$Ve = \sqrt{ \frac{2 \times 6.7 \times 6 \times {10}^{23 - 11} }{3 \times {10}^{6} } }$

$Ve = \sqrt{ \frac{80.4 \times {10}^{12} }{3 \times {10}^{6} } }$

$Ve = \sqrt{26.8 \times {10}^{6} }$

$Ve = 5.17 \times {10}^{3}$ m/s