Bonjour,
Question 3 :
a)
[tex]\(m_r = 117\) kg[/tex]
[tex]R_L = 1,74 \times 10^3 \times 1000 = 1,74 \times 10^6\) m[/tex]
[tex]\(P = F_{Lune/roche}= G \times \frac{m_1 \times m_2}{d^2} = 6,67 \times 10^{-11} \times \frac{7,34 \times 10^{22} \times 117}{(1,74 \times 10^6)^2} = 286,21\) N[/tex]
b)
[tex]\( h = 100\) km = 100 \times 1000 = 100\) 000 \)m[/tex]
[tex]\(P = F_{Lune/roche}= G \times \frac{m_1 \times m_2}{(R_L +h)^2} = 6,67 \times 10^{-11} \times \frac{7,34 \times 10^{22} \times 117}{(1,74 \times 10^6 + 100\ 000)^2} = 255,95\) N[/tex]
