Question

a uniform solid sphere of mass m and radius a is surrounded symmetrically by a uniform thin spherical shell of equal mass and radius 2a. find the gravitational field at a distance:
(a) 3a/2 from the centre
(b) 5a/2 from the centre

Answer 1

The Gravitational Field at a point is given by = Gm/r²
where 'G' is universal Gravitational Constant , r is the distance of that point (under observation) from the centre of body ( applying Field at that point ) ,and 'm' is the mass surrounded / enclosed by the sphere of radius 'r' .
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a) At Point P (refer figure) :
Gravitational Field = Gm/(3a/2)²
= 4Gm/(9a²)
Note : here enclosed mass by the sphere of radius "3a/2" is "m"
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b) At point Q (refer figure) :
Gravitational Field = G(2m)/(5a/2)²
= 8Gm/(25 a²)
Note : here enclosed mass by the sphere of radius "5a/2" is "2m" .
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Answer 2

Explanation:

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