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You can shled a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means ?

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(a)  No. A body cannot be shielded from the gravitational influence of nearby matter. Gravitation forces are independent of medium.
(b) Yes. If the size of the spaceship is extremely large then the gravitational effect of the spaceship may become measurable. The variation in g can also be detected.
(c) Tidal effect depends inversely on the cube of the distance, unlike force which depends inversely on the square of the distance. Since distance of moon from the ocean water is very small as compared to the distance of sun from the ocean water on earth. Therefore, the tidal effect of moon.s pull is greater than the tidal effect of sun. These effect can be shown below for moon and sun.
`:. T_m/T_s=((d_s)/(d_m))^3=((1.5xx10^11)/(3.8 xx10^8))^3`
`:. T_m/T_s=6.15xx10^6`
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