Gravitation
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Question : 12
Total: 25
A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gravitational force on the rocket zero? Mass of the sun = 2 × 10 30 k g = 6 × 10 24 k g = 1.5 × 10 11 m ) .
Solution:
Let d be the distance of a point from the earth where gravitational forces on the rocket due to the sun and the earth become equal and opposite. Then distance of rocket from the sun = (r – d). If m is the mass of rocket then
=
=
= √
M S = 2 × 10 30 k g ;
M E = 6 × 10 24 k g ;
r = 1.5 × 10 11 m
∴
= √
=
or
− 1 =
or
= 1 +
=
ord =
=
= 2.6 × 10 8 m
or
or
or
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