mg=
| GMm |
| R2 |
在卫星位置,由重力等于万有引力得
mg′=
| GMm |
| (R+h)2 |
由①②得:g′=
| gR2 |
| (R+h)2 |
通讯卫星所受万有引力的大小F=ma=mg′=m
| gR2 |
| (R+h)2 |
同步卫星做圆周运动由万有引力提供向心力得:
F=mω2(R+h)=mg′=m
| gR2 |
| (R+h)2 |
h+R=
| 3 |
| ||
所以F=mω2(R+h)=m
| 3 | R2gω4 |
故BC正确,AD错误.
故选BC.
| R2g |
| (R+h)2 |
| 3 | R2gω4 |
| GMm |
| R2 |
| GMm |
| (R+h)2 |
| gR2 |
| (R+h)2 |
| gR2 |
| (R+h)2 |
| gR2 |
| (R+h)2 |
| 3 |
| ||
| 3 | R2gω4 |