3p 1 F z =F g
mM
mg=G 1p
r2
GM 6,674 ∙ 10−11 ∙ 5,972∙ 1024
g= 2 = =9,8195=9,820 m/s2 2p
3 2
r ( 6371∙ 10 )
2p 2 Ek , aarde + E g , aarde=0 1p
1 2 mMA
m v o =G
2 RA
2GM A 2 ∙6,674 ∙ 10−11 ∙ 5,972∙ 1024
3p
v 0=
3
√ RA
Plaatje
=
√ 6371∙ 103
=11,2 km/s 2p
1p
F n=F g−F mpz 1p
m M A mv 2
F n=G −
R A2 RA
m M A mv 2
F n=G −
R A2 RA
m G MA
F n= ∙
RA ( RA
−v
2
) 1p
2
m G M A 2 π RA
3p 4 F n=
RA
∙ (
RA
−
T ( ))
2
1 6,674 ∙ 10−11 ∙5,972 ∙10 24 2 π ∙ 6371∙ 103
F n=
6371∙ 103
∙ ( 6371 ∙103 (−
24 ∙60 ∙ 60 ))
1
F n= 3
∙ ( 6,256 ∙107 −2,147 ∙10 5 )
6371∙ 10
6,23456∙ 107
F n= =9,79 N
6371∙ 103
Omloopsnelheid 1p
Uitrekenen en completeren 1p
3p 5 T = 90 min; r = 260km + Ra 1
v = 2pi r/T = 7,7 km/s 2