Gravitational Field!

Classical Mechanics Level 2

A spherical shell is cut into two pieces along a plane, as shown below, such that the lower part is larger than the upper. P P is a point on the plane. The gravitational field at P P due to the upper part is I 1 I_1 and that due to the lower part is I 2 . I_2 .

What is the relationship between I 1 I_1 and I 2 ? I_2?

No relationship I 1 < I 2 I_1< I_2 I 1 > I 2 I_1 > I_2 I 1 = I 2 I_1 = I_2

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1 solution

Since, the gravitational field inside a spherical shell is zero.

I 1 − I 2 = 0 ⇒ I 1 = I 2 I_1 - I_2 = 0 \Rightarrow \boxed {I_1 = I_2}

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