Two bodies of masses 8 kg and 32 kg are placed at a distance 12 m. A
third body
of mass 5 kg is to be placed at such a point that the force acting on this body
is zero.
Find the position of that point.
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Answer:
Let the gravitational field is zero at a distance x from 2 kg mass and distance (9−x) from 8 kg mass.
Thus,
x
2
Gm
1
=
(9−x)
2
Gm
2
or
x
2
G(2)
=
(9−x)
2
G(8)
or 4x
2
=(9−x)
2
or 2x=9−x or x=3m
Thus, field is zero at 3 m from 2kg and 6 m from 8 kg.
Explanation:
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