A man of mass m starts falling towards a planet of mass M
and radius R. As he reaches near to the surface, he realizes
that he will pass through a small hole in the planet. As he
enters the hole, he sees that the planet is really made of two
pieces a spherical shell of negligible thickness of mass 2M/
3 and a point mass M/3 at the centre. Change in the force of
gravity experienced by the man is
(a) 2/3 GMm/R²
(b) 0
(c) 1/3 GMm/R²
(d) 4/3 GMm/R²
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Answer:
outside: F= 5GMm/3R²
inside: F = 1GMm/3R²
∆F = 4/3GMm/R²
Explanation:
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