a uniform solid sphere of radius r produces a gravitational acceleration of ag on its surface. at what two distances from the center of the sphere is the gravitational acceleration (ag/2)? (hint: consider distances both inside and outside the sphere.)

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23-11-2022
Physics

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a uniform solid sphere of radius r produces a gravitational acceleration of ag on its surface. at what two distances from the center of the sphere is the gravitational acceleration (ag/2)? (hint: consider distances both inside and outside the sphere.)

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NomulaHarsh NomulaHarsh · Answer 1 · 2022-11-26T11:38:10-05:00

The distance of inside from the center of the sphere is R/2 and distance of outside from the center of the sphere is √2 R when the gravitational acceleration is R/2.

What is gravitational acceleration?

Gravitational acceleration within a vacuum is the acceleration of an object within the vacuum which is used to indicate the intensity of the gravitational field.

Inside the sphere with gravitational acceleration,

ag = GrMe / R^3

R / 2 = r

Outside the sphere,

ag / 2 = GMe / r^2

r = √2 R.

Therefore, the distance of inside from the center of the sphere is R/2 and distance of outside from the center of the sphere is √2 R when the gravitational acceleration is R/2.

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