find the distance of a point from Earth center where the resultant gravitational field due to the earth and the moon is zero the mass of the earth is 6.0(10)(24)kg and that of the moon is 7.4(10)(22).the distance between the earth and moon is 4.0(10)(6)km
Answers
Answer:
Explanation:
The point must be on the line joining the centres of the earth and the moon and in between them If the distance of the point from the earth is x the distance from the moon is (4.0×105km−x) The magnitude of the gravitational filed due to the earth is
E1=GMex2=G×6×1024kgx2
and magnitude of the gravitational field due to the moon is
E2=GMm(4.0×105km−x)2=G×7.4×1022kg(4.0×105km−x)2
These fields are in opposite directions For the resultant filed to be zero E1=E2
or6×1024kgx2=7.4×1022kg(4.0×105km−x)2
or x4.0×105km−x=6×10247.4×1022−−−−−−−−−√=9 . or , x=3.6×105 km.
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