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Two concentric spherical shells have mas...

Two concentric spherical shells have masses `M_1,M_2` and radii `R_1,R_2(R_1ltR_2)`. What is the force exerted by this system on a particle of mass `m` if it is placed at a distance `(R_1+R_2)/2` from the center?

Text Solution

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The gravitational force on .m. due to the shell of `M_2` is zero.
The gravitational force on .m. due
`(GM_1m)/(((R_1+R_2)/2))=(4GM_1m)/((R_1+R_2)^2)`
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