Mm |
(R+h)2 |
4π2 |
T2 |
得:M=
4π2(R+h)3 |
GT2 |
(2)假設月球表面附件有一物體m1,其所受萬有引力等于重力
G
Mm1 |
R2 |
得g月=
4π2(R+h)3 |
R2T2 |
(3)根據(jù)密度的定義ρ=
M |
V |
月球的體積V=
4 |
3 |
所以ρ=
| ||
|
3π(R+h)3 |
GT2R3 |
答:(1)月球的質量M為
4π2(R+h)3 |
GT2 |
(2)月球表面的重力加速度g月為
4π2(R+h)3 |
R2T2 |
(3)月球的密度ρ為
3π(R+h)3 |
GT2R3 |
4 |
3 |
Mm |
(R+h)2 |
4π2 |
T2 |
4π2(R+h)3 |
GT2 |
Mm1 |
R2 |
4π2(R+h)3 |
R2T2 |
M |
V |
4 |
3 |
| ||
|
3π(R+h)3 |
GT2R3 |
4π2(R+h)3 |
GT2 |
4π2(R+h)3 |
R2T2 |
3π(R+h)3 |
GT2R3 |